Journal articles: 'Isotropic cylinder'

1

Rattanawangcharoen, N., A. H. Shah, and S. K. Datta. "Reflection of Waves at the Free Edge of a Laminated Circular Cylinder." Journal of Applied Mechanics 61, no. 2 (June 1, 1994): 323–29. http://dx.doi.org/10.1115/1.2901448.

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A wave function expansion method is employed to solve the reflection problem of time-harmonic elastic waves incident upon the free edge of a semi-infinite laminated circular cylinder. Wave functions are obtained using a propagator matrix approach for laminated isotropic cylinders and by a Rayleigh-Ritz type approximation for laminated composite cylinders. The least-square technique as well as the variational method are employed to evaluate the complex amplitudes and the energy flux associated with the reflected waves. To validate the solutions and present algorithm, results are compared with analytical solutions whenever available. Examples include free-end reflection of waves in an isotropic solid rod, a two-layered isotropic cylinder, and a four-ply [ + 15/ −15/ +15/ −15] graphite/epoxy cylinder. Numerical experimentation shows that the least-square method provides poor results for the laminated anisotropic cylinder compared to those obtained through the variational technique.

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2

Pankaj, Thakur. "Elastic-plastic transition stresses in a transversely isotropic thick-walled cylinder subjected to internal pressure and steady-state temperature." Thermal Science 13, no. 4 (2009): 107–18. http://dx.doi.org/10.2298/tsci0904107p.

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Elastic-plastic transitional stresses in a transversely isotropic thick-walled cylinder subjected to internal pressure and steady-state temperature have been derived by using Seth's transition theory. The combined effects of pressure and temperature has been presented graphically and discussed. It has been observed that at room temperature, thick-walled cylinder made of isotropic material yields at a high pressure at the internal surface as compared to cylinder made of transversely isotropic material. With the introduction of thermal effects isotropic/transversely isotropic cylinder yields at a lower pressure whereas cylinder made of isotropic material requires less percentage increase in pressure to become fully-plastic from its initial yielding as compared to cylinder made of transversely isotropic material.

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Shanker, B., C. N. Nath, S. A. Shah, and P. M. Reddy. "Vibrations in a Fluid-Loaded Poroelastic Hollow Cylinder Surrounded by a Fluid in Plane-Strain Form." International Journal of Applied Mechanics and Engineering 18, no. 1 (March 1, 2013): 189–216. http://dx.doi.org/10.2478/ijame-2013-0013.

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Plane-strain vibrations in a fluid-loaded poroelastic hollow cylinder surrounded by a fluid are investigated employing Biot’s theory of wave propagation in poroelastic media. The poroelastic hollow cylinder is homogeneous and isotropic, while the inner and outer fluids are homogeneous, isotropic and inviscid. The frequency equation of the fluid-loaded poroelastic cylinder surrounded by a fluid is obtained along with several particular cases, namely, fluid-loaded poroelastic cylinder, fluid-loaded bore, poroelastic cylinder surrounded by a fluid and poroelastic solid cylinder submerged in a fluid. The frequency equations are obtained for axially symmetric, flexural and anti-symmetric vibrations each for a pervious and an impervious surface. Nondimensional frequency for propagating modes is computed as a function of the ratio of thickness to the inner radius of the core. The results are presented graphically for two types of poroelastic cylinders and then discussed.

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Aggarwal, A. K., Richa Sharma, and Sanjeev Sharma. "Collapse Pressure Analysis of Transversely Isotropic Thick-Walled Cylinder Using Lebesgue Strain Measure and Transition Theory." Scientific World Journal 2014 (2014): 1–10. http://dx.doi.org/10.1155/2014/240954.

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The objective of this paper is to provide guidance for the design of the thick-walled cylinder made up of transversely isotropic material so that collapse of cylinder due to influence of internal and external pressure can be avoided. The concept of transition theory based on Lebesgue strain measure has been used to simplify the constitutive equations. Results have been analyzed theoretically and discussed numerically. From this analysis, it has been concluded that, under the influence of internal and external pressure, circular cylinder made up of transversely isotropic material (beryl) is on the safer side of the design as compared to the cylinders made up of isotropic material (steel). This is because of the reason that percentage increase in effective pressure required for initial yielding to become fully plastic is high for beryl as compared to steel which leads to the idea of “stress saving” that reduces the possibility of collapse of thick-walled cylinder due to internal and external pressure.

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5

Chau, K. T. "Vibrations of Transversely Isotropic Finite Circular Cylinders." Journal of Applied Mechanics 61, no. 4 (December 1, 1994): 964–70. http://dx.doi.org/10.1115/1.2901587.

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This paper investigates the exact frequency equations for all the possible natural vibrations in a transversely isotropic cylinder of finite length. Two wave potentials are used to uncouple the equations of motion; the resulting hyperbolic equations are solved analytically for the vibration frequencies of a finite cylinder with zero shear tractions and zero axial displacement on the end surfaces and with zero tractions on the curved surfaces. In general, the mode shapes and the frequency equations of vibrations depend on both the range of the frequency and the elastic properties of the material. The vibration frequencies for sapphire cylinders are studied as an example. Two limiting cases are also considered: the long bar limit equals the frequency equation for the longitudinal vibration of bars obtained by Morse (1954) and by Lord Rayleigh (1945); and the frequency equation for thin disks (small length/radius ratio) is also obtained. The frequency for the first axisymmetric mode agrees with the experimental observation by Lusher and Hardy (1988) to within one percent. Natural frequencies for the first three longitudinal and circumferential modes are plotted for all cylinder geometries. The lowest frequency always corresponds to the first nonsymmetric mode regardless of the dimension of the cylinder. For axisymmetric vibration modes, numerical plots show that double roots exist in the frequency equations; such doublets were observed experimentally by Booker and Sagar (1971).

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6

Tsai, Y. M. "Longitudinal Motion of a Thick Transversely Isotropic Hollow Cylinder." Journal of Pressure Vessel Technology 113, no. 4 (November 1, 1991): 585–89. http://dx.doi.org/10.1115/1.2928799.

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The propagation of a longitudinal harmonic wave in a transversely isotropic shell has been investigated in the development of ultrasonic techniques for thick hollow composite cylinders. The characteristic equation for satisfying the stress-fee inner and outer cylindrical boundaries has been obtained in an exact form in terms of the wavelength, the cylinder radii and the material constants. The phase velocity of the fundamental mode is calculated for a wide range of the wavelength for various cylinder radii for some typical sample materials. The shell wave speeds for the second mode of vibration are also presented. Comparisons are made between shell wave speeds and plate wave speeds. The spread of the wave speeds for the composite shells is shown to be much wider than that for an isotropic shell.

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7

Sharma, Sanjeev, Ila Sahay, and Ravindra Kumar. "Thermo elastic-plastic transition of transversely isotropic thick-walled circular cylinder under internal and external pressure." Multidiscipline Modeling in Materials and Structures 10, no. 2 (August 5, 2014): 211–27. http://dx.doi.org/10.1108/mmms-03-2013-0026.

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Purpose – The purpose of this paper is to provide the guidance on a design and integrity evaluation of a cylinder under pressure, for which stress analysis has been done for transversely isotropic thick-walled circular cylinder under internal and external pressure with thermal effects. Design/methodology/approach – Transition theory has been used to evaluate plastic stresses based on the concept of generalized principal Lebesgue strain measure which simplifies the constitutive equations and helps to achieve better agreement between the theoretical and experimental results. Findings – It can be concluded that circular cylinder with thermal effects under internal and external pressure made of isotropic material (steel) is on the safer side of the design as compared to the cylinder made of transversely isotropic material (i.e. magnesium and beryl) because percentage increase in effective pressure required for initial yielding to become fully plastic is high for isotropic material (steel) as compared to transversely isotropic material (i.e. magnesium and beryl). It can also be concluded that out of two transversely isotropic materials, beryl is better choice for design of cylinder as compared to magnesium material because percentage increase in effective pressure required for initial yielding to become fully plastic is high for beryl as compared to magnesium. Originality/value – A detailed investigation of thermal transversely isotropic thick-walled circular cylinder under internal and external pressure has been done which leads to the idea of “stress saving” that minimizes the possibility of fracture of cylinder.

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8

Witherell, M. D., and M. A. Scavullo. "Stress Analysis and Weight Savings of Internally Pressurized Composite-Jacketed Isotropic Cylinders." Journal of Pressure Vessel Technology 112, no. 4 (November 1, 1990): 397–403. http://dx.doi.org/10.1115/1.2929895.

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An isotropic cylinder designed to have a specific bore displacement per unit of internal pressure can be made lighter by removing material from the outer diameter and replacing it with the correct amount of a stiff lightweight composite material. A stress solution is presented for an internally pressurized compound cylinder constructed from an isotropic liner jacketed with a cylindrically orthotropic composite material. The solution is used to determine the set of compound cylinder geometries which have equivalent bore hoop strain to that of an isotropic monoblock cylinder. An equation for predicting the equivalent compound cylinder geometry which provides the maximum possible weight savings over the isotropic design is also presented. To verify the theory, an experimental study was conducted involving the measurement of bore strain for internally pressurized steel liners jacketed with a graphite bismaleimide composite.

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9

Zubov, L. M. "Large deformations of a cylindrical tube with prestressed coatings." Доклады Академии наук 484, no. 5 (May 16, 2019): 542–46. http://dx.doi.org/10.31857/s0869-56524845542-546.

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The problem of large deformations in a combined nonlinear elastic hollow cylinder under internal and external pressures, loaded with a longitudinal force and torque at the end faces, is under consideration. The combined cylinder is a tube with the internal and external coatings in the form of prestressed hollow circular cylinders. An exact solution to the problem is found, which is valid for any model of isotropic incompressible elastic materials.

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10

Talesnick, M. L. "Reliability of thin-walled cylinder tests for elastic properties of anisotropic rocks." Canadian Geotechnical Journal 33, no. 6 (December 1, 1996): 1008–14. http://dx.doi.org/10.1139/t96-126.

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Elastic properties of transverse isotropic rocks may be theoretically determined by subjecting a single hollow cylinder specimen to a set of two simple stress conditions. The reliability of the methodology is considered by testing both thin-walled hollow cylinders and thick-walled hollow cylinders. The results indicate that the testing procedure produces consistent material parameters, sample preparation does not seem to induce changes in the specimen behaviour, and that the assumptions implemented in the determination of the material parameters are reasonable. Key words: hollow cylinder, anisotropy, elasticity, test method.

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11

Bandari, Sandhyarani, Anand Rao Jakkula, and Malla Reddy Perati. "Study of Radial Vibrations in an Infinitely Long Fluid-Filled Transversely Isotropic Thick-Walled Hollow Composite Poroelastic Cylinders." Journal of Theoretical and Applied Mechanics 48, no. 4 (December 1, 2018): 31–44. http://dx.doi.org/10.2478/jtam-2018-0021.

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Abstract In this paper, radial vibrations of an infinitely long fluid-filled transversely isotropic thick-walled hollow composite poroelastic cylinder are investigated in the framework of poroelasticity. The cylinder consists of two concentric cylindrical layers namely, core (inner one) and coating (outer one), each of which retains its own distinctive properties. A comparative study has been made between the thick-walled hollow composite poroelastic cylinder and that of fluid-filled one. Frequency is computed against the ratio between the thickness to inner radius of the composite cylinder at various anisotropic ratios. Another comparative study is made between the results of current case and that of isotropic case by making Young’s modulus and Poisson ratio values of isotropic and that of transversely isotropic in the transverse direction equal. Numerical results are depicted graphically and then discussed.

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12

Cowin, S. C. "Torsion of Cylinders With Shape Intrinsic Orthotropy." Journal of Applied Mechanics 54, no. 4 (December 1, 1987): 778–82. http://dx.doi.org/10.1115/1.3173116.

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Shape intrinsic orthotropy may be thought of as the type of elastic material symmetry possessed by the wood tissue of a tree. Each year’s new growth rings form a laminate around a central core. The axes of material symmetry lie in the directions tangent and normal to the growth rings or laminates and along the axis of the cylinder. Let Gtz denote the linear elastic orthotropic shear modulus associated with the axial and tangential directions, the tangent plane of a laminate. It is shown here that, for a certain class of elastic cylinders with shape intrinsic orthotropy, the solution to the torsion problem is the same as the solution to the torsion problem for the isotropic cylinder of the same shape if the isotropic shear modulus G were replaced by the orthotropic shear modulus Gtz.

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13

Kim, Y. S., G. A. Kardomateas, and A. Zureick. "Buckling of Thick Orthotropic Cylindrical Shells Under Torsion." Journal of Applied Mechanics 66, no. 1 (March 1, 1999): 41–50. http://dx.doi.org/10.1115/1.2789167.

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A three-dimensional elasticity solution to the problem of buckling of orthotropic cylindrical shells under torsion is presented. A mixed form of the Galerkin method with a series of Legendre polynomials in the thickness coordinate has been applied to solve the governing differential equations. The accuracy of existing shell theory solutions has been assessed through a comparison study for both isotropic and orthotropic cylinders. For isotropic cylinders the solutions based on the Donnell shell theory were found to predict nonconservative values for the critical loads. As the circumferential wave numbers increase, shell theory solutions provide more accurate values. For orthotropic cylinders, the classical shell theory predicts much higher critical loads for a relatively short and thick cylinder, while the shear deformation theories provide results reasonably close to the elasticity solutions. Detailed data are also presented for the critical torsional loads over a wide range of length ratios and radius ratios for isotropic, glass/epoxy, and graphite/epoxy cylinders.

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14

Holloway, C. R., R. J. Dyson, and D. J. Smith. "Linear Taylor–Couette stability of a transversely isotropic fluid." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471, no. 2178 (June 2015): 20150141. http://dx.doi.org/10.1098/rspa.2015.0141.

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Fibre-laden fluids are found in a variety of situations, while Couette devices are used for flow spectroscopy of long biological molecules, such as DNA and proteins in suspension. The presence of these fibres can significantly alter the rheology of the fluid, and hence must be incorporated in any modelling undertaken. A transversely isotropic fluid treats these suspensions as a continuum with an evolving preferred direction, through a modified stress tensor incorporating four viscosity-like parameters. We consider the axisymmetric linear stability of a transversely isotropic viscous fluid, contained between two rotating co-axial cylinders, and determine the critical wave and Taylor numbers for varying gap width and inner cylinder velocity (assuming the outer cylinder is fixed). Through the inclusion of transversely isotropic effects, the onset of instability is delayed, increasing the range of stable operating regimes. This effect is felt most strongly through incorporation of the anisotropic shear viscosity, although the anisotropic extensional viscosity also contributes. The changes to the rheology induced by the presence of the fibres therefore significantly alter the dynamics of the system, and hence should not be neglected.

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15

Wu, Di, and Bao Sheng Zhao. "A Refined Theory of Axisymmetric Thermoelastic Circular Cylinder with Transversely Isotropic." Advanced Materials Research 622-623 (December 2012): 1611–15. http://dx.doi.org/10.4028/www.scientific.net/amr.622-623.1611.

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For analyzing the exact stress field, the exact displacement field and the exact temperature field in axisymmetric thermoelastic circular cylinder with transversely isotropic, the refined theory of an axisymmetric circular cylinder was researched. Without ad hoc assumptions, the refined equation of an axisymmetric thermoelastic circular cylinder with transversely isotropic was obtained, which yields Bessel's function and the solution of the cylinder directly from the general solution. By dropping terms of high order, the approximate solutions are derived for a circular cylinder under radial direction surface loading. At last, we study the approximate equations with the temperature effect.

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16

Awan, Z. A. "Effects of bi-isotropic coatings and bi-isotropic background media upon gain characteristics of an axially slotted cylinder." International Journal of Microwave and Wireless Technologies 9, no. 5 (November 11, 2016): 1093–102. http://dx.doi.org/10.1017/s1759078716001100.

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An analysis about the effects of various bi-isotropic (BI) coatings and BI background media upon the gain characteristics of an axially slotted cylinder using numerical simulations is presented. It is investigated that chirality and Tellegen parameters of a coating and a background medium play a significant role in modifying the gain properties. It is further studied that an axially slotted cylinder when coated with a strong BI material and embedded in a free space background significantly enhances the gain in the forward direction. On the other hand, a strong Tellegen coating guides most of the radiated field from an axial slot toward rear side of the cylinder.

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17

Rattanawangcharoen, N., and A. H. Shah. "Guided waves in laminated isotropic circular cylinder." Computational Mechanics 10, no. 2 (1992): 97–105. http://dx.doi.org/10.1007/bf00369854.

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Niklasson, A. Jonas, and Subhendu K. Datta. "Scattering by an infinite transversely isotropic cylinder in a transversely isotropic medium." Wave Motion 27, no. 2 (February 1998): 169–85. http://dx.doi.org/10.1016/s0165-2125(97)00038-3.

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Boonphennimit, P., J. Rungamornrat, and T. Senjuntichai. "Thermo-Electro-Mechanical Behavior of Finite Piezocomposites Cylinder." Advanced Materials Research 740 (August 2013): 368–73. http://dx.doi.org/10.4028/www.scientific.net/amr.740.368.

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This paper presents a complete analytical solution for transient responses of a transversely isotropic thermopiezoelectric finite composite cylinder under axisymmetric boundary conditions. The governing equations for coupled axisymmetric electro-thermo-mechanical field of a transversely isotropic piezoelectric medium are employed, and the corresponding general solutions are derived. A boundary-value problem corresponding to composites of finite thermopiezoelectric cylinder with axisymmetric mechanical and electrical loadings applied at the curve surface of a cylinder is solved. The solutions presented in this study can provide fundamental understanding of thermo-electro-mechanical behaviour of thermopiezoelectric finite composite cylinder under various loading conditions, and are useful for the development of piezocomposites for practical applications.

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Lu, Xu Jing, Yang Jun Han, Zhi Wen Cui, Chun Xia Wang, Ke Xie Wang, and He Feng Dong. "Fast Compressional Wave Scattering from Cylinder in Porous Media." Applied Mechanics and Materials 170-173 (May 2012): 537–40. http://dx.doi.org/10.4028/www.scientific.net/amm.170-173.537.

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A mathematical model is presented to describe the scattering of a fast compressional plane wave (fast P-wave) incident at an arbitrary angle on isotropic cylinder embedded in a fluid-saturated porous medium. The expressions of components of solid and filtration displacement, pore fluid pressure and stress tensor in porous medium are obtained by potential function using the Biot’s theory and that of isotropic cylinder are also given. We investigate the properties of the form function of a backscatted fast P-wave for cement and steel cylinder system. It shows the influence of incident angle on form function for steel is more obvious than that for cement cylinder and form function curves are very different between steel and cement cylinder.

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Sakhr, Jamal, and Blaine A. Chronik. "Harmonic Standing-Wave Excitations of Simply-Supported Isotropic Solid Elastic Circular Cylinders: Exact 3D Linear Elastodynamic Response." International Journal of Applied Mechanics 12, no. 06 (July 2020): 2050060. http://dx.doi.org/10.1142/s175882512050060x.

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The vibration of a solid elastic cylinder is one of the classical applied problems of elastodynamics. Many fundamental forced-vibration problems involving solid elastic cylinders have not yet been studied or solved using the full three-dimensional (3D) theory of linear elasticity. One such problem is the steady-state forced-vibration response of a simply-supported isotropic solid elastic circular cylinder subjected to two-dimensional harmonic standing-wave excitations on its curved surface. In this paper, we exploit certain recently-obtained particular solutions to the Navier–Lamé equation and exact matrix algebra to construct an exact closed-form 3D elastodynamic solution to the problem. The method of solution is direct and demonstrates a general approach that can be applied to solve other similar forced-vibration problems involving elastic cylinders. The obtained analytical solution is then applied to a specific numerical example, where it is used to determine the frequency response of the displacement field in some low wave number excitation cases. In each case, the solution generates a series of resonances that are in exact correspondence with a subset of the natural frequencies of the simply-supported cylinder. The analytical solution is also used to compute the resonant mode shapes in some selected asymmetric excitation cases. The studied problem is of general interest both as an exactly-solvable 3D elastodynamics problem and as a benchmark forced-vibration problem involving a solid elastic cylinder.

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Ecsedi, István, and Attila Baksa. "The Generalized Twist for the Torsion of Piezoelectric Cylinders." Modelling and Simulation in Engineering 2017 (2017): 1–7. http://dx.doi.org/10.1155/2017/3634520.

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In the classical theory of elasticity, Truesdell proposed the following problem: for an isotropic linearly elastic cylinder subject to end tractions equipollent to a torque T, define a functional τ(u) on Q such that T=Kτ(u), for each u∈Q, where Q is the set of all displacement fields that correspond to the solutions of the torsion problem and K depends only on the cross-section and the elastic properties of the considered cylinder. This problem has been solved by Day. In the present paper Truesdell’s problem is extended to the case of piezoelastic, monoclinic, and nonhomogeneous right cylinders.

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23

Zhao, Bao Sheng, and Di Wu. "The Refined Analysis of Axisymmetric Transversely Isotropic Cylinder under Radial Direction Surface Loading." Applied Mechanics and Materials 198-199 (September 2012): 212–15. http://dx.doi.org/10.4028/www.scientific.net/amm.198-199.212.

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In this paper, the axisymmetric deformation of one cylinder with transversely isotropic is researched. According to the general solution of deformation body with transversely isotropic and the Lur’e method, the exact deformation field and exact stress field are represented by unknown functions with single independent variables. Based on boundary conditions of radial direction surface loading, the unknown functions can be ascertained. By dropping terms of high order, the approximate solution is derived, and the department field and the stress field for a circular cylinder under radial direction surface loading can be obtained. After simplifying, the states with isotropic can be obtained.

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24

Eskandari Jam, Jafar, and Y. Rahmati Nezhad. "Semi-Analytical Solution of Functionally Graded Circular Short Hollow Cylinder Subject to Transient Thermal Loading." Archive of Mechanical Engineering 61, no. 3 (December 10, 2014): 409–32. http://dx.doi.org/10.2478/meceng-2014-0023.

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Abstract In this paper, by using a semi-analytical solution based on multi-layered approach, the authors present the solutions of temperature, displacements, and transient thermal stresses in functionally graded circular hollow cylinders subjected to transient thermal boundary conditions. The cylinder has finite length and is subjected to axisymmetric thermal loads. It is assumed that the functionally graded circular hollow cylinder is composed of N fictitious layers and the properties of each layer are assumed to be homogeneous and isotropic. Time variations of the temperature, displacements, and stresses are obtained by employing series solving method for ordinary differential equation, Laplace transform techniques and a numerical Laplace inversion.

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25

Browne, L. W. B., R. A. Antonia, and D. A. Shah. "Turbulent energy dissipation in a wake." Journal of Fluid Mechanics 179 (June 1987): 307–26. http://dx.doi.org/10.1017/s002211208700154x.

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The average turbulent energy dissipation is often estimated by assuming isotropy and measuring the temporal derivative of the longitudinal velocity fluctuation. In this paper, the nine major terms that make up the total dissipation have been measured in the self-preserving region of a cylinder wake for a small turbulence Reynolds number. The results indicate that local isotropy is not satisfied; the isotropic dissipation, computed by assuming isotropic relations, being smaller than the total dissipation by about 45% on the wake centreline and by about 80% near the wake edge. Indirect verification of the dissipation measurements is provided by the budget of the turbulent kinetic energy. This budget leads to a plausible distribution for the pressure diffusion term, obtained by difference.

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Bogachev, Ivan V., Rostislav D. Nedin, Alexander O. Vatulyan, and Oksana V. Yavruyan. "Identification of inhomogeneous elastic properties of isotropic cylinder." ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 97, no. 3 (November 23, 2016): 358–64. http://dx.doi.org/10.1002/zamm.201600179.

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Abd-Alla, A. M., A. M. El-Naggar, and M. A. Fahmy. "Magneto-thermoelastic problem in non-homogeneous isotropic cylinder." Heat and Mass Transfer 39, no. 7 (July 1, 2003): 625–29. http://dx.doi.org/10.1007/s00231-002-0370-3.

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Suat Kadioğlu, F. "Edge cracks in a transversely isotropic hollow cylinder." Engineering Fracture Mechanics 72, no. 14 (September 2005): 2159–73. http://dx.doi.org/10.1016/j.engfracmech.2005.01.011.

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Podil'chuk, Yu N. "Thermoelastic deformation of a transversely isotropic parabolic cylinder." Soviet Applied Mechanics 25, no. 7 (July 1989): 629–34. http://dx.doi.org/10.1007/bf00888312.

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Heyliger, Paul R., Clemens Junker, Karsten Meier, and Ward L. Johnson. "Effects of crystalline anisotropy on resonant acoustic loss of torsional quartz viscometers." Journal of the Acoustical Society of America 151, no. 3 (March 2022): 2135–48. http://dx.doi.org/10.1121/10.0009825.

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Vibrational modes of unrestrained elastic cylinders of trigonal crystals are studied using Ritz-based polynomial approximations for displacements formulated in rectangular Cartesian coordinates. The selected orientation of the threefold trigonal axis is perpendicular to the cylinder axis, corresponding to the configuration employed in torsional quartz viscometry (TQV) for characterizing Newtonian fluids. A revised working equation for TQV is derived, incorporating effects of crystalline anisotropy, and Ritz results are used to numerically quantify effects of acoustic radiation from surface-normal displacements and viscous loss from nontorsional surface-parallel displacements of resonant modes corresponding to the purely torsional modes of isotropic cylinders traditionally employed as an approximation in TQV analysis. For a cylinder typical of TQV, with 3 mm diameter and 50 mm length, the anisotropy-related correction to the extracted fluid viscosity is a positive shift of 36 ppm relative to the isotropic approximation, if radiative losses are neglected. This contribution is independent of fluid properties. Radiative losses depend on the properties of the fluid and reduce the extracted viscosity. The total magnitude of corrections varies between several tens of parts per million for low density gases to values on the order of 0.01% for normal liquids near atmospheric pressure and 0.06% for superfluid helium.

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Croll, J. G. A., and C. P. Ellinas. "A Design Formulation for Axisymmetric Collapse of Stiffened and Unstiffened Cylinders." Journal of Energy Resources Technology 107, no. 3 (September 1, 1985): 350–55. http://dx.doi.org/10.1115/1.3231198.

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A procedure, developed for predicting the elastic-plastic general axisymmetric collapse of stiffened and unstiffened cylinders, is presented. This permits the formulation of reliable lower bounds to collapse loads for any combination of radial pressure and axial loadings, with any prescribed forms and levels of initial geometric imperfection, in a simple, “column-type,” analysis. The approach provides a unified format for the treatment of isotropic and orthotropic cylinder buckling, which is compact and design orientated.

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Noda, Naotake, Fumihiro Ashida, and Tomoaki Tsuji. "An Inverse Transient Thermoelastic Problem for a Transversely-Isotropic Body." Journal of Applied Mechanics 56, no. 4 (December 1, 1989): 791–97. http://dx.doi.org/10.1115/1.3176173.

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The present paper discusses an analytical method for an inverse problem of three-dimensional transient thermoelasticity in a transversely-isotropic solid. The inverse thermoelastic problem consists of the determination of the condition of heating when the conditions of displacements and stresses are given at some points of the solid considered. Applying the Laplace and Fourier transforms as well as the new potential function method, the temperature, displacements, and stresses are represented by the potential functions alone, and they are determined from the prescribed conditions. The heating condition is obtained from the boundary condition for the temperature field. As a practical example of an inverse problem, the heating temperature of a transversely-isotropic infinite circular cylinder is determined in the case where the radial displacement is given at an arbitrary cylindrical section and the radial and shear stresses are free on the lateral surface of the cylinder. Numerical calculations are carried out to illustrate the heating temperature of the cylinder as well as the temperature and stresses on the lateral surface of the cylinder.

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Jung, V., M. Adam, H. J. Bornemann, H. G. Brokmeier, A. Kaiser, R. Schnieber, and J. Thoms. "Texture and Magnetic Levitation Force of Melt-Textured YBaCuO Cylinders." Textures and Microstructures 33, no. 1-4 (January 1, 1999): 93–110. http://dx.doi.org/10.1155/tsm.33.93.

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To investigate the correlation between the levitation force of YBaCuO cylinders when approached by a permanent magnet and the texture of these YBaCuO cylinders some of these specimens were selected which are free of microcracks, have the same oxygen load, show no isotropic fraction or other undesired parasitic c-axis orientations. To gain a maximum levitation force the c-axis orientation of the crystalline domains has to have a small divergence between the c-axis and the cylinder axis. By measurements of the (002) pole figures by neutron diffraction with a mesh width no more than 6° undesired c-axis orientations have been analyzed. The distribution of the c-axis near the cylinder axis has been measured at the (005) reflection of 7 times higher intensity than the (002) reflection. The angular limit within which lie 94% of all c-axis orientations is a practical value for comparison of the c-axis orientations and the levitation forces of the different YBaCuO cylinders.

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Mnassri, Ilyes, and Adil El Baroudi. "Elasto-Acoustic Coupling Between Two Circular Cylinders and Dense Fluid." International Journal of Applied Mechanics 09, no. 05 (July 2017): 1750062. http://dx.doi.org/10.1142/s1758825117500624.

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This paper describes a theoretical method for free vibration analysis of two elastic and isotropic cylinders filled with a dense fluid. The free vibration of two cylinders is studied on the basis of the linear three-dimensional elasticity theory. The compressible fluid is assumed to be nonviscous and isotropic which satisfy the acoustic wave equation. In this paper, the coupled dispersion equations of longitudinal, flexural and lobar modes are deduced and analytically solved. The finite element results computed by the Comsol Multiphysics software are compared with the present method for validation and an acceptable match between them was obtained. It is shown that the results from the proposed method are in good agreement with the numerical solutions. With this method, the effects of the cylinder parameters, such as the circumferential wave, the axial wavenumber, the thickness-to-radius and the length-to-radius on the coupled frequencies are investigated.

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35

Jalan, S. K., B. Nageswara Rao, and S. Gopalakrishnan. "Development of Empirical Relations for the Transversely Isotropic Properties of Zigzag, Armchair and Chiral Single-Walled Carbon Nanotubes." Advanced Composites Letters 21, no. 4 (July 2012): 096369351202100. http://dx.doi.org/10.1177/096369351202100402.

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Finite element analysis has been performed to evaluate transversely isotropic properties of the single walled carbon nanotubes (SWCNTs). Finite element models of SWCNTs are generated by specifying the C-C bond rigidities (which are arrived by equating the energies from molecular mechanics and continuum mechanics). The five independent transversely isotropic properties for different chiralities are evaluated using the stress fields of thick-walled cylinders and the elastic deformations of SWCNTs subjected to pure extension, internal pressure and pure torsion loads. The adequacy of the elastic properties is demonstrated through modelling of an equivalent overall orthotropic hollow thick-walled cylinder under different loading conditions. Empirical relations are provided for the five independent elastic constants useful for armchair, zigzag and chiral zigzag SWCNTs.

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Batdorf, S. B., and Robert W. C. Ko. "Shear Plastic Stress-Strain Relation Obtained From Torque-Twist Data." Journal of Engineering Materials and Technology 108, no. 4 (October 1, 1986): 354–57. http://dx.doi.org/10.1115/1.3225894.

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A standard technique for finding the shear stress-strain relation of a material employs a torsion test on a solid circular cylinder. It is shown that the exact solution is easily obtained as a correction to the sometimes-used quasielastic approximation. The solution is extended to the case of hollow cylinders. The analysis is shown to be applicable also to the case where a constant axial stress is present, and to a special case of planar isotropic materials.

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Lusher, C. P., and W. N. Hardy. "Axisymmetric Free Vibrations of a Transversely Isotropic Finite Cylindrical Rod." Journal of Applied Mechanics 55, no. 4 (December 1, 1988): 855–62. http://dx.doi.org/10.1115/1.3173733.

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The frequencies of free vibration and mode shapes are calculated for axisymmetric modes of an elastic cylinder of finite length having hexagonal symmetry with the crystallographic c-axis coincident with the axis of the cylinder (a transversely isotropic finite cylindrical rod). A series solution is used which satisfies term-by-term the differential equations of linear elasticity and the boundary conditions on the shear stress; the boundary conditions on the normal stresses are satisfied by using an orthogonalization procedure. As an example, the method is applied to sapphire, with one of the six elastic constants (c14) taken to be zero. The other five elastic constants are those of the hexagonal system. The calculated acoustic vibration frequencies agree to better than 1 percent with measurements made on sapphire at room temperature, for a cylinder of half-height to radius ratio ∼ 1.

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38

Biswas, Siddhartha. "Vibration analysis of transversely isotropic hollow cylinder considering three different theories using the matrix Frobenius method." Multidiscipline Modeling in Materials and Structures 15, no. 6 (November 4, 2019): 1212–37. http://dx.doi.org/10.1108/mmms-04-2019-0074.

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Purpose The purpose of this paper is to deal with the three-dimensional analysis of free vibrations in a stress-free and rigidly fixed homogeneous transversely isotropic hollow cylinder in the context of three-phase-lag (TPL) model of hyperbolic thermoelasticity. Design/methodology/approach The matrix Frobenius method of extended power series is employed to obtain the solution of coupled ordinary differential equations along the radial coordinate. Findings The natural frequency, dissipation factor and inverse quality factor in the stress-free and rigidly fixed hollow cylinder get significantly affected due to thermal vibrations and thermo-mechanical coupling. Originality/value The modified Bessel functions and matrix Frobenius method have been directly used to study the vibration model of a homogeneous, transversely isotropic hollow cylinder in the context of TPL model based on three-dimensional thermoelasticity.

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39

Morrow,, Clint, Michael Lovell,, and Zhi Deng. "Numerical Contact Analysis of Transversely Isotropic Coatings: A Cylinder Within a Circumferential Groove." Journal of Tribology 123, no. 2 (June 29, 2000): 436–40. http://dx.doi.org/10.1115/1.1308008.

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The contact characteristics of transversely isotropic coatings are investigated for a cylinder within a circumferential groove using a two-dimensional finite element model. With the model, contact behavior is evaluated at more than 400 operating conditions by varying coating material, coating thickness, normal load, and cylinder/groove radii. Based on the finite element results, numerical expressions are derived for the maximum surface pressure, contact length, and approach distance as a function of a transversely isotropic coating parameter, ζ. The importance of these expressions, as related to design and the selection of materials for reducing wear in contacting surfaces, is subsequently discussed.

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40

Hussain, Takasar, Faiz Ahmad, and Muhammad Ozair. "Zero group velocity longitudinal modes in an isotropic cylinder." Acta Mechanica Sinica 34, no. 3 (December 15, 2017): 475–81. http://dx.doi.org/10.1007/s10409-017-0730-3.

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41

Kielczyński, P., W. Pajewski, and M. Szalewski. "Shear horizontal surface waves on an isotropic elastic cylinder." Journal of the Acoustical Society of America 87, no. 2 (February 1990): 503–6. http://dx.doi.org/10.1121/1.398920.

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42

Danyluk, H. T., B. M. singh, and J. Vrbik. "Ductile penny-shaped crack in a transversely isotropic cylinder." International Journal of Fracture 51, no. 4 (October 1991): 331–42. http://dx.doi.org/10.1007/bf00012927.

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43

Noda, N., and F. Ashida. "Transient thermoelastic contact problem of a transversely isotropic cylinder." Ingenieur-Archiv 58, no. 4 (1988): 241–51. http://dx.doi.org/10.1007/bf00535934.

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Jing, Jin. "Axisymmetric Compression Wave Propagation in a Magneto-Electro-Elastic Cylinder." Applied Mechanics and Materials 66-68 (July 2011): 776–81. http://dx.doi.org/10.4028/www.scientific.net/amm.66-68.776.

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In this paper the propagation properties of axisymmetric compression wave in an infinite and transversely isotropic magneto-electro-elastic cylinder are investigated. Numerical results show that mechanical boundary conditions have obvious and different influences on the propagation properties of axisymmetric compression wave in a magneto-electro-elastic cylinder.

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45

Torquato, S., and F. Lado. "Improved Bounds on the Effective Elastic Moduli of Random Arrays of Cylinders." Journal of Applied Mechanics 59, no. 1 (March 1, 1992): 1–6. http://dx.doi.org/10.1115/1.2899429.

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Improved rigorous bounds on the effective elastic moduli of a transversely isotropic fiber-reinforced material composed of aligned, infinitely long, equisized, circular cylinders distributed throughout a matrix are evaluated for cylinder volume fractions up to 70 percent. The bounds are generally shown to provide significant improvement over the Hill-Hashin bounds which incorporate only volume-fraction information. For cases in which the cylinders are stiffer than the matrix, the improved lower bounds provide relatively accurate estimates of the elastic moduli, even when the upper bound diverges from it (i.e., when the cylinders are substantially stiffer than the matrix). This last statement is supported by accurate, recently obtained Monte Carlo computer-simulation data of the true effective axial shear modulus.

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46

Gnoli, Daniel, Sajjad Babamohammadi, and Nicholas Fantuzzi. "Homogenization and Equivalent Beam Model for Fiber-Reinforced Tubular Profiles." Materials 13, no. 9 (April 30, 2020): 2069. http://dx.doi.org/10.3390/ma13092069.

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The current work presents a study on hollow cylinder composite beams, since hollow cylinder cross-sections are one of the principal geometry in many engineering fields. In particular, the present study considers the use of these profiles for scaffold design in offshore engineering. Composite beams cannot be treated as isotropic ones due to couplings mainly present among traction, torsion, bending and shear coefficients. This research aims to present a simple approach to study composite beams as they behave like isotropic ones by removing most complexities related to composite material design (e.g., avoid the use of 2D and 3D finite element modeling). The work aims to obtain the stiffness matrix of the equivalent beam through an analytical approach which is valid for most of the laminated composite configurations present in engineering applications. The 3D Euler–Bernoulli beam theory is considered for obtaining the correspondent isotropic elastic coefficients. The outcomes show that negligible errors occur for some equivalent composite configurations by allowing designers to continue using commercial finite element codes that implement the classical isotropic beam model.

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Abassi, Wafik, Adil El Baroudi, and Fulgence Razafimahery. "Torsional Vibrations of Fluid-Filled Multilayered Transversely Isotropic Finite Circular Cylinder." International Journal of Applied Mechanics 08, no. 03 (April 2016): 1650032. http://dx.doi.org/10.1142/s1758825116500320.

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An analytical and numerical study for the torsional vibrations of viscous fluid-filled three-layer transversely isotropic cylinder is presented in this paper. The equations of motion of solid and fluid are respectively formulated using the constitutive equations of a transversely isotropic cylinder and the constitutive equations of a viscous fluid. The analytical solution of the frequency equation is obtained using the boundary conditions at the free surface of the solid layer and the boundary conditions at the fluid–solid interface. The frequency equation is deduced and analytically solved using the symbolic Software Mathematica. The finite element method using Comsol Multiphysics Software results are compared with present method for validation and an acceptable match between them were obtained. It is shown that the results from the proposed method are in good agreement with numerical solutions. The influence of fluid dynamic viscosity is thoroughly analyzed and the effect of the isotropic properties on the natural frequencies is also investigated.

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48

Young, P. G., and S. M. Dickinson. "Free Vibration of a Class of Homogeneous Isotropic Solids." Journal of Applied Mechanics 62, no. 3 (September 1, 1995): 706–8. http://dx.doi.org/10.1115/1.2897003.

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A Ritz approach, with simple polynomials as trial functions, is used to obtain the natural frequencies of vibration of a class of solids. Each solid is modeled by means of a segment which is described in terms of Cartesian coordinates and is bounded by the yz, zx, and xy orthogonal coordinate planes as well as by a fourth curved surface, which is defined by a polynomial expression in the coordinates x, y, and z. By exploiting symmetry, a number of three-dimensional solids previously considered in the open literature are treated, including a sphere, a cylinder and a parallelepiped. The versatility of the approach is then demonstrated by considering several solids of greater geometric complexity, including an ellipsoid, an elliptical cylinder, and a cone.

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Rahnama, H., and M. M. Shokrieh. "Axisymmetric equilibrium of an isotropic elastic solid circular finite cylinder." Mathematics and Mechanics of Solids 24, no. 4 (April 11, 2018): 996–1029. http://dx.doi.org/10.1177/1081286518764013.

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Axisymmetric equilibrium of an elastic solid circular finite cylinder is one of the oldest problems in the theory of linear elasticity. Crosswise superposition is a well-known method that is used to solve this boundary value problem (BVP); however, technical realization of its underlying ideas still seems to be vague and the solution obtained by this method suffers from some convergence issues. In this study, we follow two main objectives via analyzing a benchmark problem where an isotropic elastic solid circular cylinder of finite length is subjected to normal lateral loading. The first goal is to add more insight into the method of crosswise superposition by extending the ideas that are used for solving classical BVPs via the superposition principle. For this purpose, a new unified approach that naturally gives rise to the subtle concept of corner conditions (CCs) in the context of crosswise superposition method is introduced. Another goal is to demonstrate the influence of CCs on the convergence of the solution obtained by the method of crosswise superposition. In this avenue, the Love function approach is used to convert the Navier equations for an isotropic elastic material to a single axisymmetric biharmonic equation. Next, a general solution for the axisymmetric biharmonic equation consisting of separable and non-separable solutions is presented in cylindrical coordinates. These two classes of solutions are used to construct the Love function and associated elastic fields through the unified approach. Numerical results reveal that considering the CCs can significantly affect the convergence rate of the solution on the boundaries of the cylinder. Furthermore, it is observed that the solution does not converge to the boundary data at the rims without considering the CCs. Far enough from the boundaries of the cylinder, the solution does not seem to be much different with or without taking the CCs into account.

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Hlavata, Vera, Pavel Kuklik, and Martin Hataj. "Coefficients of Transverse Contraction of the Wood Cell Constituents and their Effect on the Cell Behavior." Key Engineering Materials 714 (September 2016): 20–24. http://dx.doi.org/10.4028/www.scientific.net/kem.714.20.

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Wood cells are composed of cellulose, hemicellulose, and lignin. Geometrically we can idealize them as a set of hollow cylinders touching each other on the cylinder surface. The continuous displacements and stress state transmission are assumed on the cylinder surfaces. The article investigates stress development which is influenced by the wood cell axial elongation. Material properties of individual constituents are generally described by nine parameters characterizing orthotropic elastic material. Transversely isotropic constitutive model of was chosen for simplification. The analytical solution of the stress state was driven by the ideas of displacement method. Material parameters have been estimated according to available literature. The main task of our investigation was focused on the effect of transversal contraction. The actual calculation results are surprising and lead to reflection. These considerations and conclusions are summarized at the end of the paper.

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Journal articles on the topic 'Isotropic cylinder'

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