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Relevant bibliographies by topics / Elastodynamics

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Academic literature on the topic 'Elastodynamics'

Author: Grafiati

Published: 4 June 2021

Last updated: 7 July 2024

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Journal articles on the topic "Elastodynamics"

1

Achenbach, Jan D. "Reciprocity and Related Topics in Elastodynamics." Applied Mechanics Reviews 59, no. 1 (2006): 13–32. http://dx.doi.org/10.1115/1.2110262.

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Reciprocity theorems in elasticity theory were discovered in the second half of the 19th century. For elastodynamics they provide interesting relations between two elastodynamic states, say states A and B. This paper will primarily review applications of reciprocity relations for time-harmonic elastodynamic states. The paper starts with a brief introduction to provide some historical and general background, and then proceeds in Sec. 2 to a brief discussion of static reciprocity for an elastic body. General comments on waves in solids are offered in Sec. 3, while Sec. 4 provides a brief summary of linearized elastodynamics. Reciprocity theorems are stated in Sec. 5. For some simple examples the concept of virtual waves is introduced in Sec. 6. A virtual wave is a wave motion that satisfies appropriate conditions on the boundaries and is a solution of the elastodynamic equations. It is shown that combining the desired solution as state A with a virtual wave as state B provides explicit results for state A. Basic elastodynamic states are discussed in Sec. 7. These states play an important role in the formulation of integral representations and integral equations, as shown in Sec. 8. Reciprocity in 1-D and full-space elastodynamics are discussed in Secs. 910, respectively. Applications to a half-space and a layer are reviewed in Secs. 1112. Section 13 is concerned with reciprocity of coupled acousto-elastic systems. The paper is completed with a brief discussion of reciprocity for piezoelectric systems. There are 61 references cited in this review article.

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Biswal, Swagatika, and Prakash Chandra Mishra. "Piston Compression Ring Elastodynamics and Ring–Liner Elastohydrodynamic Lubrication Correlation Analysis." Lubricants 10, no. 12 (2022): 356. http://dx.doi.org/10.3390/lubricants10120356.

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Friction loss in an internal combustion engine largely depends on elastohydrodynamic lubrication. The piston compression ring is a contributor to such parasitic losses in the piston subsystem. The complex elastodynamics of the ring are responsible for the transient and regime-altering film that affects the elastohydrodynamic lubrication of the ring liner contact conjunction. The current paper will discuss the ring radial, lateral deformation, and axial twist, and its effect on the film profile of the compression ring and its subsequent effect on tribological characteristics like elastohydrodynamic pressure, friction, and lubricant. A finite difference technique is used to solve the elastohydrodynamic issue of elastodynamic piston compression by introducing the elastodynamically influenced film thickness into the lubrication model. The results show that consideration of the elastodynamics predicts a 23.53% reduction in friction power loss in the power stroke due to the elastodynamic ring compared to the rigid ring. The elastodynamic effect improves the lubricant oil flow into the conjunction. A finite element simulation predicts a von-Mises stress of 0.414 N/mm2, and a maximum deformation of 0.513 µm at the core and coating interface is observed at the ring–ring groove contact. The sustainability of EHL in this case largely depends on the ring–liner elastodynamics.

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Srivastava, Ankit. "Causality and passivity in elastodynamics." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471, no. 2180 (2015): 20150256. http://dx.doi.org/10.1098/rspa.2015.0256.

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What are the constraints placed on the constitutive tensors of elastodynamics by the requirements that the linear elastodynamic system under consideration be both causal (effects succeed causes) and passive (system does not produce energy)? The analogous question has been tackled in other areas but in the case of elastodynamics its treatment is complicated by the higher order tensorial nature of its constitutive relations. In this paper, we clarify the effect of these constraints on highly general forms of the elastodynamic constitutive relations. We show that the satisfaction of passivity (and causality) directly requires that the hermitian parts of the transforms (Fourier and Laplace) of the time derivatives of the constitutive tensors be positive semi-definite. Additionally, the conditions require that the non-hermitian parts of the Fourier transforms of the constitutive tensors be positive semi-definite for positive values of frequency. When major symmetries are assumed these definiteness relations apply simply to the real and imaginary parts of the relevant tensors. For diagonal and one-dimensional problems, these positive semi-definiteness relationships reduce to simple inequality relations over the real and imaginary parts, as they should. Finally, we extend the results to highly general constitutive relations which include the Willis inhomogeneous relations as a special case.

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Shragge, Jeffrey, and Tugrul Konuk. "Tensorial elastodynamics for isotropic media." GEOPHYSICS 85, no. 6 (2020): T359—T373. http://dx.doi.org/10.1190/geo2020-0074.1.

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Numerical solutions of 3D isotropic elastodynamics form the key computational kernel for many isotropic elastic reverse time migration and full-waveform inversion applications. However, real-life scenarios often require computing solutions for computational domains characterized by non-Cartesian geometry (e.g., free-surface topography). One solution strategy is to compute the elastodynamic response on vertically deformed meshes designed to incorporate irregular topology. Using a tensorial formulation, we have developed and validated a novel system of semianalytic equations governing 3D elastodynamics in a stress-velocity formulation for a family of vertically deformed meshes defined by Bézier interpolation functions between two (or more) nonintersecting surfaces. The analytic coordinate definition also leads to a corresponding analytic free-surface boundary condition (FSBC) as well as expressions for wavefield injection and extraction. Theoretical examples illustrate the utility of the tensorial approach in generating analytic equations of 3D elastodynamics and the corresponding FSBCs for scenarios involving free-surface topography. Numerical examples developed using a fully staggered grid with a mimetic finite-difference formulation demonstrate the ability to model the expected full-wavefield behavior, including complex free-surface interactions.

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Qin, Shaopeng, Gaofeng Wei, Zheng Liu, and Xuehui Shen. "Elastodynamic Analysis of Functionally Graded Beams and Plates Based on Meshless RKPM." International Journal of Applied Mechanics 13, no. 04 (2021): 2150043. http://dx.doi.org/10.1142/s1758825121500435.

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In this paper, the reproducing kernel particle method (RKPM) is innovatively extended to the elastodynamic analysis of functionally graded material (FGM). The elastodynamics governing equations of FGM are solved by using the RKPM. The penalty factor method is used to solve the displacement boundary conditions, and the Newmark-[Formula: see text] method is used to discretize the time. The influence of the penalty factor and the scaling parameter is discussed, and the stability and convergence of the RKPM are analyzed. Finally, the correctness of meshless RKPM to solve the elastodynamics of FGM is verified by numerical examples of the functionally graded beams and plates.

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Patra, Subir, Hossain Ahmed, Mohammadsadegh Saadatzi, and Sourav Banerjee. "Experimental verification and validation of nonlocal peridynamic approach for simulating guided Lamb wave propagation and damage interaction." Structural Health Monitoring 18, no. 5-6 (2019): 1789–802. http://dx.doi.org/10.1177/1475921719833754.

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In this article, experimental verification and validation of a peridynamics-based simulation technique, called peri-elastodynamics, are presented while simulating the guided Lamb wave propagation and wave–damage interaction for ultrasonic nondestructive evaluation and structural health monitoring applications. Peri-elastodynamics is a recently developed elastodynamic computation tool where material particles are assumed to interact with the neighboring particles nonlocally, distributed within an influence zone. First, in this article, peri-elastodynamics was used to simulate the Lamb wave modes and their interactions with the damages in a three-dimensional plate-like structure, while the accuracy and the efficacy of the method were verified using the finite element simulation method (FEM). Next, the peri-elastodynamics results were validated with the experimental results, which showed that the newly developed method is more accurate and computationally cheaper than the FEM to be used for computational nondestructive evaluation and structural health monitoring. Specifically, in this work, peri-elastodynamics was used to accurately simulate the in-plane and out-of-plane symmetric and anti-symmetric guided Lamb wave modes in a pristine plate and was extended to investigate the wave–damage interaction with damage (e.g. a crack) in the plate. Experiments were designed keeping all the simulation parameters consistent. The accuracy of the proposed technique is confirmed by performing error analysis on symmetric and anti-symmetric Lamb wave modes compared to the experimental results for pristine and damaged plates.

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Wang, Jiawei. "Incompressible limit of nonisentropic Hookean elastodynamics." Journal of Mathematical Physics 63, no. 6 (2022): 061506. http://dx.doi.org/10.1063/5.0080539.

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We study the incompressible limit of the compressible nonisentropic Hookean elastodynamics with general initial data in the whole space [Formula: see text]. First, we obtain the uniform estimates of the solutions in [Formula: see text] for s > d/2 + 1 being even and the existence of classic solutions on a time interval independent of the Mach number. Then, we prove that the solutions converge to the incompressible elastodynamic equations as the Mach number tends to zero.

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Patnaik, Sansit, and Fabio Semperlotti. "A generalized fractional-order elastodynamic theory for non-local attenuating media." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, no. 2238 (2020): 20200200. http://dx.doi.org/10.1098/rspa.2020.0200.

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This study presents a generalized elastodynamic theory, based on fractional-order operators, capable of modelling the propagation of elastic waves in non-local attenuating solids and across complex non-local interfaces. Classical elastodynamics cannot capture hybrid field transport processes that are characterized by simultaneous propagation and diffusion. The proposed continuum mechanics formulation, which combines fractional operators in both time and space, offers unparalleled capabilities to predict the most diverse combinations of multiscale, non-local, dissipative and attenuating elastic energy transport mechanisms. Despite the many features of this theory and the broad range of applications, this work focuses on the behaviour and modelling capabilities of the space-fractional term and on its effect on the elastodynamics of solids. We also derive a generalized fractional-order version of Snell’s Law of refraction and of the corresponding Fresnel’s coefficients. This formulation allows predicting the behaviour of fully coupled elastic waves interacting with non-local interfaces. The theoretical results are validated via direct numerical simulations.

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Konuk, Tugrul, and Jeffrey Shragge. "Tensorial elastodynamics for anisotropic media." GEOPHYSICS 86, no. 4 (2021): T293—T303. http://dx.doi.org/10.1190/geo2020-0156.1.

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Elastic wavefield solutions computed by finite-difference (FD) methods in complex anisotropic media are essential elements of elastic reverse time migration and full-waveform inversion analyses. Cartesian formulations of such solution methods, though, face practical challenges when aiming to represent curved interfaces (including free-surface topography) with rectilinear elements. To forestall such issues, we have developed a general strategy for generating solutions of tensorial elastodynamics for anisotropic media (i.e., tilted transversely isotropic or even lower symmetry) in non-Cartesian computational domains. For the specific problem of handling free-surface topography, we define an unstretched coordinate mapping that transforms an irregular physical domain to a regular computational grid on which FD solutions of the modified equations of elastodynamics are straightforward to calculate. Our fully staggered grid (FSG) with a mimetic FD (MFD) (FSG + MFD) approach solves the velocity-stress formulation of the tensorial elastic wave equation in which we compute the stress-strain constitutive relationship in Cartesian coordinates and then transform the resulting stress tensor to generalized coordinates to solve the equations of motion. The resulting FSG + MFD numerical method has a computational complexity comparable with Cartesian scenarios using a similar FSG + MFD numerical approach. Numerical examples demonstrate that our solution can simulate anisotropic elastodynamic field solutions on irregular geometries; thus, it is a reliable tool for anisotropic elastic modeling, imaging, and inversion applications in generalized computational domains including handling free-surface topography.

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Lu, Xiang Yang, and Jin Hu. "Approximate Elastodynamic Directional-Cloak with Isotropous Homogeneous Material." Advanced Materials Research 634-638 (January 2013): 2787–90. http://dx.doi.org/10.4028/www.scientific.net/amr.634-638.2787.

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Recently, the transformation method has been extended to control solid elastic waves in case of high frequency or small material gradient. An important device in practice, the approximate elastodynamic directional-cloak with isotropic homogeneous materials, can be designed based on this method. In this paper, this device’s design method is discussed in detail and its effect on cloaking arbitrary shaped obstacles is explored. It is also shown that this useful device cannot be designed based on the conventional transformation elastodynamics. Examples are conceived and validated by numerical simulations.

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Dissertations / Theses on the topic "Elastodynamics"

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Rachele, Lizabeth. "An inverse problem in elastodynamics /." Thesis, Connect to this title online; UW restricted, 1996. http://hdl.handle.net/1773/5735.

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Gross, Michael. "Conserving time integrators for nonlinear elastodynamics." [S.l.] : [s.n.], 2004. http://deposit.ddb.de/cgi-bin/dokserv?idn=970706081.

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Hopman, Ryan. "Aribitrary geometry cellular automata for elastodynamics." Thesis, Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/29742.

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Thesis (M. S.)--Mechanical Engineering, Georgia Institute of Technology, 2010.<br>Committee Chair: Dr. Michael Leamy; Committee Member: Dr. Karim Sabra; Committee Member: Dr. Aldo Ferri. Part of the SMARTech Electronic Thesis and Dissertation Collection.

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Pramanik, Ramkrishna. "Some crack and inclusion problem in Elastodynamics." Thesis, University of North Bengal, 2001. http://hdl.handle.net/123456789/644.

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Das, Apurba Narayan. "Some boundary value problems in linear elastodynamics." Thesis, University of North Bengal, 1993. http://hdl.handle.net/123456789/630.

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Pal, Subhas Chandra. "Some extended source and crack problems in elastodynamics." Thesis, University of North Bengal, 1996. http://hdl.handle.net/123456789/632.

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Mandal, Subhas Chandra. "Some mixed boundary value problems in elastodynamics." Thesis, University of North Bengal, 1992. http://hdl.handle.net/123456789/628.

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Mahinzaeim, Mahyar. "Feedback control and stabilisability in problems of elastodynamics." Thesis, University of Newcastle upon Tyne, 2013. http://hdl.handle.net/10443/3064.

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Isakari, Hiroshi. "Periodic FMMs and Calderon's preconditioning in acoustics and elastodynamics." 京都大学 (Kyoto University), 2012. http://hdl.handle.net/2433/157517.

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He, Lisha. "Improvement and application of smoothed particle hydrodynamics in elastodynamics." Thesis, Durham University, 2015. http://etheses.dur.ac.uk/11314/.

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This thesis explores the mesh-free numerical method, Smooth Particle Hydrodynamics (SPH), presents improvements to the algorithm and studies its application in solid mechanics problems. The basic concept of the SPH method is introduced and the governing equations are discretised using the SPH method to simulate the elastic solid problems. Special treatments are discussed to improve the stability of the method, such as the treatment for boundary problems, artificial viscosity and tensile instability. In order to improve the stability and efficiency, (i) the classical SPH method has been combined with the Runge-Kutta Chebyshev scheme and (ii) a new time-space Adaptive Smooth Particle Hydrodynamics (ASPH) algorithm has been developed in this thesis. The SPH method employs a purely meshless Lagrangian numerical technique for spatial discretisation of the domain and it avoids many numerical difficulties related to re-meshing in mesh-based methods such as the finite element method. The explicit Runge-Kutta Chebyshev (RKC) scheme is developed to accurately capture the dynamics in elastic materials for the SPH method in the study. Numerical results are presented for several test examples applied by the RKC-SPH method compared with other different time stepping scheme. It is found that the proposed RKC scheme offers a robust and accurate approach for solving elastodynamics using SPH techniques. The new time-space ASPH algorithm which is combining the previous ASPH method and the RKC schemes can achieve not only the adaptivity of the particle distribution during the simulation, but also the adaptivity of the number of stage in one fixed time step. Numerical results are presented for a shock wave propagation problem using the time-space ASPH method compared with the analytical solution and the results of standard SPH. It is found that using the dynamic adaptive particle refinement procedure with adequate refinement criterion, instead of adopting a fine discretisation for the whole domain, can achieve a substantial reduction in memory and computational time, and similar accuracy is achieved.

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Books on the topic "Elastodynamics"

1

Achenbach, J. D. Reciprocity in elastodynamics. Cambridge University Press, 2003.

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Reciprocity in elastodynamics. Cambridge University Press, 2003.

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Córdova, Carlos Juán Cornejo. Elastodynamics with hysteretic damping. DUP Science, 2002.

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Manolis, G. D. Boundary element methods in elastodynamics. Unwin Hyman, 1988.

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Fundamental solutions in elastodynamics: A compendium. Cambridge University Press, 2006.

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6

Poruchikov, Vladimir B. Methods of the Classical Theory of Elastodynamics. Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-77099-9.

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Poruchikov, Vladimir B. Methods of the Classical Theory of Elastodynamics. Springer Berlin Heidelberg, 1993.

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Poruchikov, V. B. Methods of the classical theory of elastodynamics. Springer-Verlag, 1993.

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9

Grigorenko, Alexander Ya, Wolfgang H. Müller, and Igor A. Loza. Selected Problems in the Elastodynamics of Piezoceramic Bodies. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-74199-0.

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10

Vermeersen, Bert. Changes in the earth's rotation by tectonics: Gravito-elastodynamics. Faculteit Aardwetenschappen der Universiteit Utrecht, 1993.

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Book chapters on the topic "Elastodynamics"

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Kienzler, Reinhold, and George Herrmann. "Elastodynamics." In Mechanics in Material Space. Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-642-57010-0_7.

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Kythe, Prem K. "Elastodynamics." In Fundamental Solutions for Differential Operators and Applications. Birkhäuser Boston, 1996. http://dx.doi.org/10.1007/978-1-4612-4106-5_8.

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Lew, Adrian J. "Elastodynamics." In Encyclopedia of Applied and Computational Mathematics. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-540-70529-1_487.

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Cicuttin, Matteo, Alexandre Ern, and Nicolas Pignet. "Elastodynamics." In Hybrid High-Order Methods. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-81477-9_5.

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Mansur, W. J., and C. A. Brebbia. "Transient Elastodynamics." In Time-dependent and Vibration Problems. Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-662-29651-6_5.

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Verruijt, Arnold. "Confined Elastodynamics." In An Introduction to Soil Dynamics. Springer Netherlands, 2010. http://dx.doi.org/10.1007/978-90-481-3441-0_10.

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Wu, Guanglei, and Huiping Shen. "Robot Elastodynamics." In Parallel PnP Robots. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-6671-4_7.

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Mansur, W. J., and C. A. Brebbia. "Transient Elastodynamics." In Time-dependent and Vibration Problems. Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/978-3-642-82398-5_5.

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Wei, Peijun. "Fundamentals of Elastodynamics." In Theory of Elastic Waves. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-5662-1_1.

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Eslami, M. Reza, Richard B. Hetnarski, Jozef Ignaczak, Naotake Noda, Naobumi Sumi, and Yoshinobu Tanigawa. "Variational Principles of Elastodynamics." In Theory of Elasticity and Thermal Stresses. Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-94-007-6356-2_5.

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Conference papers on the topic "Elastodynamics"

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Zecca, V., and A. Kamel. "Elastodynamics on clustered vector multiprocessors." In the 4th international conference. ACM Press, 1990. http://dx.doi.org/10.1145/77726.255166.

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Shah, A. D., A. Dimas, and J. D. Humphrey. "Elastodynamics of Intracranial Saccular Aneurysms." In ASME 1997 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/imece1997-0246.

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Abstract Intracranial saccular aneurysms are focal dilatations of the arterial wall that occur in and near the circle of Willis. These lesions are typically thin-walled and sphere-like in shape, and they exhibit a nonlinear, pseudoelastic behavior over finite strains; in addition it appears that unruptured lesions have negligible bending stiffness. Together, these observations suggest that one may employ a nonlinear membrane theory to study the associated mechanics.

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Konuk, Tugrul, and Jeffrey Shragge. "3D tensorial elastodynamics for anisotropic media." In SEG Technical Program Expanded Abstracts 2019. Society of Exploration Geophysicists, 2019. http://dx.doi.org/10.1190/segam2019-3216551.1.

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Diaz, J., L. Boillot, G. Bosilca, E. Agullo, H. Calandra, and H. Barucq. "Task-based Programming Model for Elastodynamics." In EAGE Workshop on High Performance Computing for Upstream. EAGE Publications BV, 2014. http://dx.doi.org/10.3997/2214-4609.20141922.

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Hopman, Ryan K., and Michael J. Leamy. "Arbitrary Geometry Cellular Automata for Elastodynamics." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-11222.

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This study extends a recently-developed [1] cellular automata (CA) elastodynamic modeling approach to arbitrary two-dimensional geometries through development of a rule set appropriate for triangular cells. The approach is fully object-oriented (OO) and exploits OO conventions to produce compact, general, and easily-extended CA classes. Meshes composed of triangular cells allow the elastodynamic response of arbitrary two-dimensional geometries to be computed accurately and efficiently. As in the previous rectangular CA method, each cell represents a state machine which updates in a stepped-manner using a local “bottom-up” rule set and state input from neighboring cells. The approach avoids the need to develop partial differential equations and the complexity therein. Several advantages result from the method’s discrete, local and object-oriented nature, including the ability to compute on a massively-parallel basis and to easily add or subtract cells in a multi-resolution manner. The extended approach is used to generate the elastodynamic responses of a variety of general geometries and loading cases (Dirichlet and Neumann), which are compared to previous results and/or comparison results generated using the commercial finite element code, COMSOL. These include harmonic interior plate loading, uniform boundary traction, and ramped boundary displacement. Favorable results are reported in all cases, with the CA approach requiring fewer degrees of freedom to achieve similar accuracy, and considerably less code development.

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Espath, L. F. R., A. L. Braun, and A. M. Awruch. "ISOGEOMETRIC ANALYSIS APPLIED TO NONLINEAR ELASTODYNAMICS." In 10th World Congress on Computational Mechanics. Editora Edgard Blücher, 2014. http://dx.doi.org/10.5151/meceng-wccm2012-18876.

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Wei, Yixiong, Qifu Wang, Yingjun Wang, Yunbao Huang, and Linchi Zhang. "Acceleration of Modal Analysis by FMM Based on DRBEM." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-70596.

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This paper proposes a novel algorithm to accelerate the process of modal analysis in 3D elastodynamic problems in BEM (boundary element method) with high accuracy. Because of low efficiency and high cost, conventional BEM is rarely used for solving 3D elastodynamics problems in engineering problems. With applying the DRBEM (dual reciprocity boundary element method) to form new integral equations of 3D elastodynamics problems to reduce time complexity by using reciprocity method twice, we introduce modified FMM (fast multipole method) to simplify the computation process and improve the efficiency from O(n2) to O(n) in matrix multiplication. The main features in this method are: (1) Position Location (PL) algorithm is used to eliminate one layer of nested loops in conventional FMM, and which achieve a good performance in efficiency; (2) time dimension integrations in the element of matrices are canceled for high efficiency; (3) instead of the interaction between points, we apply point to element interaction method for saving plenty of the CPU cost in modified FMM; (4) it does not need to compute complex dynamic fundamental solutions which are necessary in conventional BEM. In this algorithm, the corresponding eigenvalue problem is solved by Hessenberg matrix and QR reduction algorithm iteratively. We have tested our method in numerical examples during last section, and have observed significant optimal results in efficiency and accuracy.

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Bagaini, C., and F. Maggio. "Parallel Spectral Elements for 3D Linear Elastodynamics." In 59th EAGE Conference & Exhibition. European Association of Geoscientists & Engineers, 1997. http://dx.doi.org/10.3997/2214-4609-pdb.131.gen1997_p112.

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Barraco, André, and Marguerite Gilbert. "Quasi Exact Solutions for Some Elastodynamics Problems." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/vib-8206.

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Abstract In this paper we develop the formulation for large displacement, large rotation, but small strain, for Timoshenko beam. The so-called “finite rotation vector” is used. Rather to use a finite element formulation we solve the exact semi-local differential equations, written in the actual configuration, using a space (finite difference method) and time (Runge Kutta method) integration scheme. This method is restricted to geometrically simple structures but is developed to validate FEM codes. We present a static and dynamic example.

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Alessandro Cammarata and Rosario Sinatra. "On the Elastodynamics of Parallel Kinematic Machines." In 23rd ABCM International Congress of Mechanical Engineering. ABCM Brazilian Society of Mechanical Sciences and Engineering, 2015. http://dx.doi.org/10.20906/cps/cob-2015-2122.

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Reports on the topic "Elastodynamics"

1

Oden, J. Tinsley. Adaptive Higher-Order Methods for Problems in Elastodynamics. Defense Technical Information Center, 2000. http://dx.doi.org/10.21236/ada393516.

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Manzini, Gianmarco, Hashem Mourad, Paola Antonietti, and Marco Verani. The virtual element method for linear elastodynamics models. Design, analysis, and implementation. Office of Scientific and Technical Information (OSTI), 2020. http://dx.doi.org/10.2172/1669070.

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Manzini, Gianmarco, Hashem Mohamed Mourad, Paola Francesca Antonietti, Italo Mazzieri, and Marco Verani. The arbitrary-order virtual element method for linear elastodynamics models. Convergence, stability and dispersion-dissipation analysis. Office of Scientific and Technical Information (OSTI), 2020. http://dx.doi.org/10.2172/1630838.

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Armero, Francisco. Numerical Analysis of Constrained Dynamical Systems, with Applications to Dynamic Contact of Solids, Nonlinear Elastodynamics and Fluid-Structure Interactions. Defense Technical Information Center, 2000. http://dx.doi.org/10.21236/ada387568.

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Gazonas, George A., Raymond A. Wildman, and David A. Hopkins. Elastodynamic Impact into Piezoelectric Media. Defense Technical Information Center, 2014. http://dx.doi.org/10.21236/ada608898.

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Liu, Cheng, John Lambros, and Ares J. Rosakis. Highly Transient Elastodynamic Crack Growth in a Bimaterial Interface: Higher Order Asymptotic Analysis and Optical Experiments. Defense Technical Information Center, 1992. http://dx.doi.org/10.21236/ada266465.

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Krishnaswamy, Sridhar, Aares J. Rosakis, and G. Ravichandran. On the Extent of Dominance of Asymptotic Elastodynamic Crack-Tip Fields. Part 2. Numerical Investigation of Three-Dimensional and Transient Effects. Defense Technical Information Center, 1988. http://dx.doi.org/10.21236/ada243567.

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