Academic literature on the topic 'Strain energy methods'

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Journal articles on the topic "Strain energy methods"

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McDaniel, J. G., and J. H. Ginsberg. "Fundamental Tests of Two Modal Strain Energy Methods." Journal of Vibration and Acoustics 118, no. 2 (April 1, 1996): 272–75. http://dx.doi.org/10.1115/1.2889659.

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Li, Li, Yujin Hu, and Xuelin Wang. "Numerical methods for evaluating the sensitivity of element modal strain energy." Finite Elements in Analysis and Design 64 (February 2013): 13–23. http://dx.doi.org/10.1016/j.finel.2012.09.006.

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Ma, Hang, Ping Lu, Tao Jiang, Sheng Feng Shi, Jian Bin Wei, and Jing Bo Duan. "Research on Feasibility and Applicability of Delamination Localization Methods for Composite Laminated Beams." Applied Mechanics and Materials 599-601 (August 2014): 92–95. http://dx.doi.org/10.4028/www.scientific.net/amm.599-601.92.

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The feasibility and applicability of delamination damages localization methods with various defined damage indexes for the damaged composite laminated beam were studied. The results indicate that, for the modal strain energy method, damage indexes defined by strain energy difference are more effective to locate the delamination damage than that of strain energy ratio. For energy response method, damage index defined by the second difference can effectively locate the delamination damage in the composite laminated beams.
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Mahboub, Radia. "Structural Conformational Study of Eugenol Derivatives Using Semiempirical Methods." Advances in Chemistry 2014 (October 20, 2014): 1–5. http://dx.doi.org/10.1155/2014/490358.

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We investigated the conformational structure of eugenol and eugenyl acetate under torsional angle effect by performing semiempirical calculations using AM1 and PM3 methods. From these calculations, we have evaluated the strain energy of conformational interconversion. To provide a better estimate of stable conformations, we have plotted the strain energy versus dihedral angle. So, we have determined five geometries of eugenol (three energy minima and two transition states) and three geometries of eugenyl acetate (two energy minima and one transition state). From the molecular orbital calculations, we deduce that the optimized trans form by AM1 method is more reactive than under PM3 method. We can conclude that both methods are efficient. The AM1 method allows us to determine the reactivity and PM3 method to verify the stability.
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Dasgupta, A., C. Oyan, D. Barker, and M. Pecht. "Solder Creep-Fatigue Analysis by an Energy-Partitioning Approach." Journal of Electronic Packaging 114, no. 2 (June 1, 1992): 152–60. http://dx.doi.org/10.1115/1.2906412.

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This study explores the possibility of using a unified theory of creep-fatigue, similar to the Halford-Manson strain-range partitioning method, for examining the effect of cyclic temperature range on fatigue life, over a wide range of temperatures. Other investigators have attempted similar techniques before for solder fatigue analysis. The present study is different since it proposes an energy-partitioning technique rather than strain-partitioning to examine the dependence of solder fatigue behavior on temperature dependent changes in the relative amounts of plastic and creep strains. The solder microstructure also dictates creep behavior but is assumed to be a given invariant parameter in this study. In other words, this study is targeted at as-cast microstructures and does not address post-recrystallization behavior. A sample solder joint of axisymmetric configuration, commonly found in leaded through-hole mounting technology, is analyzed with the help of nonlinear finite element methods. The strain history is determined for constant-amplitude temperature cycling with linear loading and unloading, and with constant dwells at upper and lower ends of the cycle. Large-deformation continuum formulations are utilized in conjunction with a viscoplastic constitutive model for the solder creep-plasticity behavior. Relevant material properties are obtained from experimental data in the literature. The results show significant amounts of rachetting and shakedown in the solder joint. Detailed stress-strain histories are presented, illustrating the strain amplitude, mean strain and residual stresses and strains. For illustrative purposes, the hysteresis cycles are partitioned into elastic, plastic and creep components. Such partitioned histories are essential in order to implement either the Halford-Manson strain-range partitioning technique or the energy-based approach suggested here, for analyzing the creep-fatigue damage accumulation in solder material. This study also illustrates the role and utility of the finite element method in generating the detailed stress-strain histories necessary for implementing the energy partitioning approach for creep-fatigue damage evaluation. Solder life prediction is presented as a function of cyclic temperature range at a given mean temperature.
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Walsh, Richard Michael, and R. Byron Pipes. "Strain energy release rate determination of stress intensity factors by finite element methods." Engineering Fracture Mechanics 22, no. 1 (January 1985): 17–33. http://dx.doi.org/10.1016/0013-7944(85)90156-0.

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Liu, Shuang, and Qing Wen Ren. "Elastic Energy Change Rate Method Research Using Energy Catastrophe Theory." Applied Mechanics and Materials 105-107 (September 2011): 374–80. http://dx.doi.org/10.4028/www.scientific.net/amm.105-107.374.

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The state before and after structural failure is quite different, which leads to some sudden changes to its corresponding energy. According to energy catastrophe theory, each phenomenon that reflect system state mutations can regarded as the criterion of instability. Based on the energy catastrophe theory, the problem of concrete structure failure is dealt with various energy calculation methods. Moreover, the energy change rate method is put forward to search the omen point of structure deformation and failure. By comparing with structure total strain energy and plastic strain energy, it is shown that the elastic energy change rate can determine the omen point of structure failure more easily, directly and precisely. Finally, it is found that the stress-strain relationship of many materials in engineering are quite similar, which shows that using elastic energy change rate method to determine the omen point of structure failure has some certain universality in engineering.
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Norris, A. N., and D. L. Johnson. "Nonlinear Elasticity of Granular Media." Journal of Applied Mechanics 64, no. 1 (March 1, 1997): 39–49. http://dx.doi.org/10.1115/1.2787292.

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The finite and incremental elasticity of a random packing of identical spheres is derived using energy methods. We consider different models for the contact forces between spheres, all of which are based upon or related to the fundamental Hertz theory; we consider only the special cases of perfect friction (no tangential slip) or no tangential friction. The existence of a strain energy function for the medium depends critically upon the type of contact. If the tangential contact stiffness is independent of the normal force, then the energy is well defined for all values of the macroscopic strain. Otherwise, the strain energy of the system is path dependent, in general. However, the concept of a quadratic strain energy function is always well defined for incremental motion superimposed on large confining stress and strain. For all models considered, we derive the changes in wave speeds due to incremental strains. For the models based upon an energy function we derive expressions for the third-order elastic constants as a function of confining pressure.
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Pilliadugula, Rekha, and N. Gopalakrishnan. "Crystallite size and micro-strain investigations of hydrothermally synthesized β-Ga2O3 by different analytical methods." Functional Materials Letters 13, no. 05 (July 2020): 2051018. http://dx.doi.org/10.1142/s1793604720510182.

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XRD pattern of [Formula: see text]-Ga2O3 powder, synthesized through template-free two step hydrothermal method at low temperature thoroughly, is investigated by imposing different methods of analysis. Both crystallite sizes and micro-strains of the micro-structures are analyzed and compared. Along with the traditional Scherrer’s formula (S-average, LF and LFTZ), modified Williamson–Hall (W-H) method with UDM, USDM and UDEDM and Size-Strain Plot (SSP) method were used for the investigation. Stress and defect energy densities were calculated from USDM and UDEDM modified W-H plots of the powder sample, respectively. Detailed analysis of the crystallite size and micro-strain from different methods/models was done. Obtained crystallite sizes and micro-strains from different models were compared with the results obtained from TEM analysis. It was found that crystallite sizes obtained from UDM modified W-H analysis and SSP models well coincided with crystallite size observed from TEM micrograph.
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Guo, Ping, Jian Guo Lin, Bin Xia Cao, and Na Ta. "Isolation and Characterization of Petroleum Hydrocarbon Degrading Bacteria from the Bohai Sea, China." Advanced Materials Research 955-959 (June 2014): 728–31. http://dx.doi.org/10.4028/www.scientific.net/amr.955-959.728.

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Fourteen petroleum hydrocarbon degrading bacteria strains were isolated from oil-contaminated site. Isolated strains were able use diesel oil as sole carbon and energy source. Bacterial strain HD1 was selected due to the luxuriant growth on oil agar. The oil degradation rate of strain HD1 was analyzed using UV-spectrometry-based methods. The result showed that the rate of diesel oil degradation of 75% was observed after 14days of cultivation.
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Dissertations / Theses on the topic "Strain energy methods"

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Cai, Renye. "Original strain energy density functions for modeling of anisotropic soft biological tissue." Thesis, Bourgogne Franche-Comté, 2017. http://www.theses.fr/2017UBFCA003/document.

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Cette thèse a porté sur la construction de densités d'énergie de déformation permettant de décrire le comportement non linéaire de matériaux anisotropes tels que les tissus biologiques souples (ligaments, tendons, parois artérielles etc.) ou les caoutchoucs renforcés par des fibres. Les densités que nous avons proposées ont été élaborées en se basant sur la théorie mathématique des polynômes invariants et notamment sur le théorème de Noether et l'opérateur de Reynolds. Notre travail a concerné deux types de matériaux anisotropes, le premier avec une seule famille de fibre et le second avec quatre familles. Le concept de polyconvexité a également été étudié car il est notoire qu'il joue un rôle important pour s'assurer de l'existence de solutions. Dans le cas d'un matériau comportant une seule famille de fibre, nous avons démontré qu'il était impossible qu'une densité polynomiale de degré quelconque puisse prédire des essais de cisaillement avec un chargement parallèle puis perpendiculaire à la direction des fibres. Une densité polynomiale linéaire combinée avec une fonction puissance a permis de contourner cet obstacle. Dans le cas d'un matériau comportant quatre familles de fibre, une densité polynomiale a permis de prédire correctement des résultats d'essai en traction bi-axiale extraits de la littérature. Les deux densités proposées ont été implémentées avec la méthode des éléments finis et en langage C++ dans le code de calcul universitaire FER. Pour se faire, une formulation lagrangienne totale a été adoptée. L'implémentation a été validée par des comparaisons avec des solutions analytiques de référence que nous avons exhibée dans le cas de chargements simples conduisant à des déformations homogènes. Des exemples tridimensionnels plus complexes, impliquant des déformations non-homogènes, ont également été étudiés
This thesis has focused on the construction of strain energy densities for describing the non-linear behavior of anisotropic materials such as biological soft tissues (ligaments, tendons, arterial walls, etc.) or fiber-reinforced rubbers. The densities we have proposed have been developed with the mathematical theory of invariant polynomials, particularly the Noether theorem and the Reynolds operator. Our work involved two types of anisotropic materials, the first with a single fiber family and the second with a four-fiber family. The concept of polyconvexity has also been studied because it is well known that it plays an important role for ensuring the existence of solutions. In the case of a single fiber family, we have demonstrated that it is impossible for a polynomial density of any degree to predict shear tests with a loading parallel and then perpendicular to the direction of the fibers. A linear polynomial density combined with a power-law function allowed to overcome this problem. In the case of a material made of a four-fiber family, a polynomial density allowed to correctly predict bi-axial tensile test data extracted from the literature. The two proposed densities were implemented in C++ language in the university finite element software FER by adopting a total Lagrangian formulation. This implementation has been validated by comparisons with reference analytical solutions exhibited in the case of simple loads leading to homogeneous deformations. More complex three-dimensional examples, involving non-homogeneous deformations, have also been studied
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Stašević, Milenko. "Prilog procene veka konstrukcije tornja postrojenja za istraživanje nafte i gasa." Phd thesis, Univerzitet u Novom Sadu, Fakultet tehničkih nauka u Novom Sadu, 2014. http://www.cris.uns.ac.rs/record.jsf?recordId=85356&source=NDLTD&language=en.

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Predmet ove doktorske disertacije je definisanje metoda i procedureza procenu veka konstrukcije tornja postrojenja za istraživanje naftei gasa. Dati su rezultati eksperimentalnih istraživanja radi analizeotpornosti prema prslinama pri statičkom i pri promenljivomopterećenju eksploatisanog i novog materijala konstrkcije tornjapostrojenja za istraživanje nafte i gasa.
The topic of this doctoral dissertation is definition methods and proceduries for ananalysis of an assessmen life of construction derrick plant for investigation oiland gas. The results of experimental investigation performed for the analysisof crack resistance under static and under variable loading eksploatacionand new of materials of construction derrick plant for investigation oil and gas.
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黃小華 and Siu-wah Wong. "Predicition of fatigue crack propagation using strain energy density method." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1989. http://hub.hku.hk/bib/B31209506.

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Wong, Siu-wah. "Predicition of fatigue crack propagation using strain energy density method /." [Hong Kong : University of Hong Kong], 1989. http://sunzi.lib.hku.hk/hkuto/record.jsp?B12751601.

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Vijayaraghavan, Rajesh. "Statistical estimation of strain energy release rate of delaminated composites." Morgantown, W. Va. : [West Virginia University Libraries], 2006. https://eidr.wvu.edu/etd/documentdata.eTD?documentid=4965.

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Thesis (M.S.)--West Virginia University, 2006.
Title from document title page. Document formatted into pages; contains xv, 133 p. : ill. (some col.). Includes abstract. Includes bibliographical references (p. 126-133).
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Hossain, Bhuiyan Md Emran. "Dynamic Modeling and Analysis of Strain Energy Deployment of an Origami Flasher." University of Toledo / OhioLINK, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=toledo1501870672129919.

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Stephenson, Grant B. "Evaluation of the strain energy density method of notch stress concentration calculations in the plastic range." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 1996. http://handle.dtic.mil/100.2/ADA311044.

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Thesis (Degree of Aeronautical and Astronautical Engineer) Naval Postgraduate School, March 1996.
Thesis advisor(s): G.H. Lindsey. "March 1996." Includes bibliographical references. Also available online.
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Treifi, Muhammad. "Fractal-like finite element method and strain energy approach for computational modelling and analysis of geometrically V-notched plates." Thesis, University of Manchester, 2013. https://www.research.manchester.ac.uk/portal/en/theses/fractallike-finite-element-method-and-strain-energy-approach-for-computational-modelling-and-analysisof-geometrically-vnotched-plates(93e63366-8eef-4a29-88a4-0c89cf13ec1f).html.

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The fractal-like finite element method (FFEM) is developed to compute stress intensity factors (SIFs) for isotropic homogeneous and bi-material V-notched plates. The method is semi-analytical, because analytical expressions of the displacement fields are used as global interpolation functions (GIFs) to carry out a transformation of the nodal displacements within a singular region to a small set of generalised coordinates. The concept of the GIFs in reducing the number of unknowns is similar to the concept of the local interpolation functions of a finite element. Therefore, the singularity at a notch-tip is modelled accurately in the FFEM using a few unknowns, leading to reduction of the computational cost.The analytical expressions of displacements and stresses around a notch tip are derived for different cases of notch problems: in-plane (modes I and II) conditions and out-of-plane (mode III) conditions for isotropic and bi-material notches. These expressions, which are eigenfunction series expansions, are then incorporated into the FFEM to carry out the transformation of the displacements of the singular nodes and to compute the notch SIFs directly without the need for post-processing. Different numerical examples of notch problems are presented and results are compared to available published results and solutions obtained by using other numerical methods.A strain energy approach (SEA) is also developed to extract the notch SIFs from finite element (FE) solutions. The approach is based on the strain energy of a control volume around the notch-tip. The strain energy may be computed using commercial FE packages, which are only capable of computing SIFs for crack problems and not for notch problems. Therefore, this approach is a strong tool for enabling analysts to compute notch SIFs using current commercial FE packages. This approach is developed for comparison of the FFEM results for notch problems where available published results are scarce especially for the bi-material notch cases.A very good agreement between the SEA results and the FFEM results is illustrated. In addition, the accuracy of the results of both procedures is shown to be very good compared to the available results in the literature. Therefore, the FFEM as a stand-alone procedure and the SEA as a post-processing technique, developed in this research, are proved to be very accurate and reliable numerical tools for computing the SIFs of a general notch in isotropic homogeneous and bi-material plates.
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Hall, Braydon Day. "The Dynamic Analysis of a Composite Overwrapped Gun Barrel with Constrained Viscoelastic Damping Layers Using the Modal Strain Energy Method." DigitalCommons@USU, 2013. https://digitalcommons.usu.edu/etd/1972.

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The effects of a composite overwrapped gun barrel with viscoelastic damping layers are investigated. Interlaminar stresses and constrained layer damping effects are described. The Modal Strain Energy method is developed for measuring the extent to which the barrel is damped. The equations of motion used in the finite element analysis are derived. The transient solution process is outlined. Decisions for selected parameters are discussed. The results of the finite element analyses are presented using the program written in FORTRAN. The static solution is solved with a constant internal pressure resulting in a calculated loss factor from the Modal Strain Energy Method. The transient solution is solved using the Newmark-Beta method and a variable internal pressure. The analyses conclude that strategically placed viscoelastic layers dissipate strain energy more effectively than a thick single viscoelastic layer. The optimal angle for maximizing the coefficient of mutual influence in a composite cylinder is not necessarily the optimal angle when viscoelastic layers are introduced between layers.
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Holycross, Casey M. "A multiscale analysis and extension of an energy based fatigue life prediction method for high, low, and combined cycle fatigue." The Ohio State University, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=osu1462572899.

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Books on the topic "Strain energy methods"

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Wong, A. K. On the application of the strain energy density theory in predicting crack initiation and angle of growth. Melbourne, Australia: Aeronautical Research Laboratories, 1986.

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Nastran Users' Colloquium (17th 1989 San Antonio, Tex.). Seventeenth NASTRAN Users' Colloquium: Proceedings of a colloquium held in San Antonio, Texas, April 24-28, 1989. Washington, D.C: National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Division, 1989.

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Li, Jian. Simplified data reduction methods for the ECT test for mode III interlaminar fracture toughness. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1995.

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Stephenson, Grant B. Evaluation of the strain energy density method of notch stress concentration calculations in the plastic range. Monterey, Calif: Naval Postgraduate School, 1996.

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Zimmerman, Richard S. Strain energy release rate as a function of temperature and preloading history utilizing the edge delamination fatigue test method. [Washington, DC: National Aeronautics and Space Administration, 1989.

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Salpekar, Satish A. Combined effect of matrix cracking and stress-free edge on delamination. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1990.

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Computer Software Management and Information Center. and United States. National Aeronautics and Space Administration. Scientific and Technical Information Division., eds. Seventeenth NASTRAN Users' Colloquium: Proceedings of a colloquium held in San Antonio, Texas, April 24-28, 1989. Washington, D.C: National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Division, 1989.

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Failure analysis of 2-D and 3-D woven composites: Final report, NASA grant NAG-1-1324, September 1, 1991-December 31, 1994. [Washington, DC: National Aeronautics and Space Administration, 1994.

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United States. National Aeronautics and Space Administration., ed. Failure analysis of 2-D and 3-D woven composites: Final report, NASA grant NAG-1-1324, September 1, 1991-December 31, 1994. [Washington, DC: National Aeronautics and Space Administration, 1994.

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United States. National Aeronautics and Space Administration., ed. Failure analysis of 2-D and 3-D woven composites: Final report, NASA grant NAG-1-1324, September 1, 1991-December 31, 1994. [Washington, DC: National Aeronautics and Space Administration, 1994.

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Book chapters on the topic "Strain energy methods"

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Radaj, Dieter. "Local Strain Energy Density Concept." In Advanced Methods of Fatigue Assessment, 267–389. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-30740-9_3.

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Providakis, C. P. "BEM Solution of Creep Fracture Problems Using Strain Energy Density Rate Concept." In Recent Advances in Boundary Element Methods, 355–66. Dordrecht: Springer Netherlands, 2009. http://dx.doi.org/10.1007/978-1-4020-9710-2_23.

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Luo, Yunhua, and Ulrich Häussler-Combe. "An Adaptivity Procedure Based on the Gradient of Strain Energy Density and its Application in Meshless Methods." In Lecture Notes in Computational Science and Engineering, 267–79. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-56103-0_18.

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Dawari, V. B., P. P. Kamble, and G. R. Vesmawala. "Structural Damage Identification Using Modal Strain Energy Method." In Advances in Structural Engineering, 2599–607. New Delhi: Springer India, 2015. http://dx.doi.org/10.1007/978-81-322-2187-6_201.

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Nyssen, Edgard, Bart Truyen, and Hichem Sahli. "Energy Minimisation Methods for Static and Dynamic Curve Matching." In Pattern Recognition and String Matching, 545–63. Boston, MA: Springer US, 2003. http://dx.doi.org/10.1007/978-1-4613-0231-5_22.

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Le, Thanh-Cao, Tan-Thinh Nguyen, Thanh-Canh Huynh, and Duc-Duy Ho. "Damage Detection in Plates with Different Boundary Conditions Using Improved Modal Strain Energy Method." In Lecture Notes in Civil Engineering, 1059–68. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-5144-4_102.

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Le, Quang-Huy, Van-Phuong Huynh, Minh-Tuan Ha, and Duc-Duy Ho. "Structural Damage Detection in Space Frames Using Modal Strain Energy Method and Genetic Algorithm." In Lecture Notes in Civil Engineering, 1169–78. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-5144-4_115.

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Hu, Hui Wen, Bor Tsuen Wang, and Cheng Hsin Lee. "Damage Detection of Surface Crack in Composite Quasi-Isotropic Laminate Using Modal Analysis and Strain Energy Method." In Fracture and Strength of Solids VI, 757–62. Stafa: Trans Tech Publications Ltd., 2006. http://dx.doi.org/10.4028/0-87849-989-x.757.

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Wada, T., and T. A. Dean. "An Energy Method Analysis of Closed Die Forging Being Filled with Rigid-Plastic Billet in Plane Strain Condition." In Proceedings of the Twenty-Seventh International Matador Conference, 321–26. London: Macmillan Education UK, 1988. http://dx.doi.org/10.1007/978-1-349-09912-2_45.

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Garrett, Steven L. "One-Dimensional Propagation." In Understanding Acoustics, 453–512. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-44787-8_10.

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Abstract Having already invested in understanding both the equation of state and the hydrodynamic equations, only straightforward algebraic manipulations will be required to derive the wave equation, justify its solutions, calculate the speed of sound in fluids, and derive the expressions for acoustic intensity and the acoustic kinetic and potential energy densities of sound waves. The “machinery” developed to describe waves on strings will be sufficient to describe one-dimensional sound propagation in fluids, even though the waves on the string were transverse and the one-dimensional waves in fluids are longitudinal. These results are combined with the thermal and viscous penetration depths to calculate the frequencies and quality factors in standing wave resonators. The coupling of those resonators to loudspeakers will be examined. The introduction of reciprocal transducers that are linear, passive, and reversible will allow absolute calibration of transducers using only electrical measurements (i.e., currents and voltages) by the reciprocity method, if the acoustic impedance that couples the source and receiver is calculable. Reflection and transmission at junctions between multiple ducts and other networks will be calculated and applied to the design of filters. The behavior of waves propagating through horns will provide useful impedance matching but introduce a low-frequency cut-off.
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Conference papers on the topic "Strain energy methods"

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Simonetti, Hélio Luiz, Valério Silva Almeida, and Francisco de Assis das Neves. "EVOLUTIONARY STRUCTURAL OPTIMIZATION OF ELASTIC STRUCTURES 2D USING STRAIN ENERGY CRITERION." In XXXVIII Iberian-Latin American Congress on Computational Methods in Engineering. Florianopolis, Brazil: ABMEC Brazilian Association of Computational Methods in Engineering, 2017. http://dx.doi.org/10.20906/cps/cilamce2017-0156.

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Celli, Dino, M. H. Herman Shen, Casey Holycross, Onome Scott-Emuakpor, and Tommy George. "Measurement of Hysteresis Energy Using Digital Image Correlation With Application to Energy Based Fatigue Life Prediction." In ASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/gt2018-76973.

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A modified experimental method using digital image correlation (DIC), a non-contact optical method for measuring full-field displacements and strains, is used to interrogate accumulated fatigue damage for low and high cycle fatigue (LCF/HCF) at continuum scales. Previous energy based fatigue life prediction methods have shown that cyclic strain energy dissipated during fatigue acts as a key damage parameter for accurate determination of total and remaining fatigue life. DIC enables the collection of accurate strain energy measurements or damaging energy of complex geometries that would otherwise be exceedingly difficult and time consuming using traditional strain measurement techniques. Thus, the use of DIC to obtain strain energy measurements of gas turbine engine components is highly advantageous for energy-based fatigue life prediction methods. Presented in this study is the experimental characterization of the cyclic strain energy dissipation as a means of predicting fatigue performance and assessment of damage progression of Aluminum 6061 subjected to fully reversed axial fatigue loading utilizing DIC. Validation of total and cyclic strain energy dissipation DIC measurements are accomplished with the simultaneous use of axial extensometery for direct comparison and implementation to strain energy based life prediction methods.
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Allen, Christopher T., and Thomas L. Cost. "Computation of Bolted Joint Stiffness Using Strain Energy." In ASME 2005 Pressure Vessels and Piping Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/pvp2005-71430.

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The joint stiffness of preloaded, bolted connections were determined using strain energy calculations from finite element models. The strain energy method, proposed here, provides a new, more comprehensive method for interpreting results from finite element models than methods used previously. Previous works using finite element models have approximated joint stiffness values by computing the average deflections at the bolt-head-to-member interface and dividing this into the applied load in the bolt. Other works have enforced a uniform deflection at the bolt-head-to-member interface, effectively ignoring the coupled stiffness of the bolt head and abutment. Three-dimensional finite elements were used to model axisymmetric bolted joints. Bolt head geometry was modeled to account for the coupled bending stiffness at the bearing interface. The strain energy method was verified by comparison with previously published results. Results indicate that the strain energy method represents a simple and accurate method for calculating joint stiffness values.
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Holycross, Casey M., John N. Wertz, Todd Letcher, M. H. Herman Shen, Onome E. Scott-Emuakpor, and Tommy J. George. "Damage Parameter Assessment for Energy Based Fatigue Life Prediction Methods." In ASME Turbo Expo 2012: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/gt2012-68919.

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An energy-based method used to predict fatigue life and critical life of various materials has been previously developed, correlating strain energy dissipated during monotonic fracture to total cyclic strain energy dissipation in fatigue fracture. This method is based on the assumption that the monotonic strain energy and total hysteretic strain energy to fracture is equivalent. The fracture processes of monotonic and cyclic failure modes can be of stark contrast, with ductile and brittle fracture dominating each respectively. This study proposes that a more appropriate damage parameter for predicting fatigue life may be to use low cycle fatigue (LCF) strain energy rather than monotonic energy. Thus, the new damage parameter would capture similar fracture processes and cyclic behavior. Round tensile specimens machined from commercially supplied Al 6061-T6511 were tested to acquire LCF failure data in fully reversed loading at various alternating stresses. Results are compared to both monotonic and cyclic strain energy dissipation to determine if LCF strain energy dissipation is a more suitable damage parameter for fatigue life prediction.
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Kaszynski, Alexander A., Joseph A. Beck, and Jeffrey M. Brown. "Harmonic Convergence Estimation Through Strain Energy Superconvergence." In ASME Turbo Expo 2015: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/gt2015-44140.

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Grid convergence in finite element analysis, despite a wide variety of tools available to date, remains an elusive and challenging task. Due to the complex and time consuming process of remeshing and solving the finite element model (FEM), convergence studies can be part of the most arduous portion of the modeling process and can even be impossible with FEMs unassociated with CAD. Existing a posteriori methods, such as relative error in the energy norm, provide a near arbitrary indication of the model convergence for eigenfrequencies. This paper proposes a new approach to evaluate the harmonic convergence of an existing model without conducting a convergence study. Strain energy superconvergence takes advantage of superconvergence points within a FEM and accurately recovers the strain energy within the model using polyharmonic splines, thus providing a more accurate estimate of the system’s eigenfrequencies without modification of the FEM. Accurate eigenfrequencies are critical for designing for airfoil resonance avoidance and mistuned rotor response prediction. Traditional error estimation strategies fail to capture harmonic convergence as effectively as SES, potentially leading to a less accurate airfoil resonance and rotor mistuning prediction.
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Wu, H. S., and L. M. Sun. "Comparison and improvements of two damage identification methods based on modal strain energy." In SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, edited by Masayoshi Tomizuka. SPIE, 2011. http://dx.doi.org/10.1117/12.881048.

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Cummins, Joshua J., Alexander Pedchenko, Eric J. Barth, and Douglas E. Adams. "Advanced Strain Energy Accumulator: Materials, Modeling and Manufacturing." In ASME/BATH 2014 Symposium on Fluid Power and Motion Control. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/fpmc2014-7840.

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Energy efficiency is a prominent target in cost reduction efforts in a variety of machinery including manufacturing equipment and hybrid vehicles. In the course of developing a proof of concept strain energy accumulator on an Ankle Foot Orthosis (AFO) device, several technical barriers have been quantified in this device. Due to the hyperelastic nature of the material, the identification of an appropriate elastomer and the characterization of the strength properties and energy density of this elastomer are challenging tasks. Another technical barrier is the manufacturability of these elastomers including the high cost of fabrication and the limited elastomer formulations with high strength and large energy density. A quantitative analysis of these technical barriers is needed. A comprehensive modeling effort for the strain energy accumulator in 2-D and 3-D using the hyperelastic Mooney-Rivlin model was performed to validate the behavior of the strain energy accumulator. Additionally, various multiscale modeling methods, including the Mori-Tanaka, Hashin-Shtrikman, Lielens, Voigt and Reuss Methods were investigated to estimate the homogenized elastic modulus of carbon nanotube rubber resulting in homogenized modulus estimates ranging anywhere from a few times to almost 80 times the elastic modulus of rubber.
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Holycross, Casey M., Onome E. Scott-Emuakpor, Tommy J. George, and M. H. H. Shen. "Multiscale Investigation of Strain Energy Density for Fatigue Life Prediction." In ASME Turbo Expo 2017: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/gt2017-64791.

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A fatigue life prediction method using strain energy density as a prediction parameter has had success predicting the lifetimes greater than 105 cycles for room and elevated temperatures under axial, bending, and shear loading for different material systems. This method uses monotonic strain energy density determined at the macroscale as a damage parameter for fatigue, despite the differences in damage behavior of static and dynamic loading. Recent studies have brought this method into question, as cyclic energy for low cycle fatigue loading has been found to be significantly greater. Amendments of the fatigue life model have addressed this discrepancy for continuum level measurements, but have yet to examine the localized effects of machined notches. This study investigates strain energy density for static and dynamic loading at cycle counts from one (monotonic) to 105 for plain and notched specimens, exposing the differences between damaging strain energy density at continuum and local length scales. Continuum level strain energy density is simply determined by using the load and strain feedback from a standard mechanical test procedure using a common extensometer and a servohydraulic load frame. Local strain energy density is determined more elaborately by using three methods. Localized energy is determined from compliance and a closed form relationship between stress intensity factor and strain energy density. The influence of the notch is considered in the stress intensity calculation, but its influence on stress concentration is disregarded. All calculations are based on the net section stress and linear elasticity is assumed. The analyses revealed two distinct groups, but one data set indicated coincidence with total accumulated strain energy density. These data also corroborate the theory that average strain energy density at the continuum level changes mechanisms governing damage evolution. Monotonic strain energy density is refuted as an appropriate damage parameter to predict fatigue lifetimes, and a statically equivalent strain energy density is proposed. An amended continuum level model is proposed, increasing prediction accuracy over fatigue lifetimes less than 106. Additionally, a localized model is proposed, expanding prediction capability to geometries with notch like features.
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Guo, Hongwei, Rongqiang Liu, and Zongquan Deng. "Deployment Driving Analysis of Deployable Structure Considering Imperfections." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-66146.

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The strain energy present in the structure due to manufacturing imperfections as initial strains are considered and the method for investigating the effects of strain energy due to manufacturing imperfections is developed. The strain energy restored in the structures produced by the initial strains is optimised to find the worst case set of imperfections. The methods proposed are validated by applying to one freedom truss structure. Then the case of a truss is considered with the worst set of imperfections for strain energy, peak force value and work input determined. The worst case set of imperfections contributes maximum strain energy in the truss with different configuration angles is found and driving force values and work input due to presence of changing strain energy through deployment are determined, the worst case set of imperfections are also found by optimisation of these quantities. The methods developed in this paper can be extended to all planar deployable truss structures.
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Luo, Jian Hui, and Hae Chang Gea. "Prediction of Optimal Orientation of Orthotropic Materials Using Energy Based Method." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/dac-3976.

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Abstract In this paper, an analytical energy based method is proposed to determine the optimal orientation of orthotropic materials under static loading. Instead of assuming the strain or stress is fixed with respect to orientational variables, the dependency of strain and stress fields on material orientation is explored by introducing an energy factor in the inclusion model. From the derivations, the strain based method and the stress based method can be recovered and their limitations are discussed. Numerical examples from these methods are presented and compared.
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Reports on the topic "Strain energy methods"

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Harter, Rachel M., Pinliang (Patrick) Chen, Joseph P. McMichael, Edgardo S. Cureg, Samson A. Adeshiyan, and Katherine B. Morton. Constructing Strata of Primary Sampling Units for the Residential Energy Consumption Survey. RTI Press, May 2017. http://dx.doi.org/10.3768/rtipress.2017.op.0041.1705.

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The 2015 Residential Energy Consumption Survey design called for stratification of primary sampling units to improve estimation. Two methods of defining strata from multiple stratification variables were proposed, leading to this investigation. All stratification methods use stratification variables available for the entire frame. We reviewed textbook guidance on the general principles and desirable properties of stratification variables and the assumptions on which the two methods were based. Using principal components combined with cluster analysis on the stratification variables to define strata focuses on relationships among stratification variables. Decision trees, regressions, and correlation approaches focus more on relationships between the stratification variables and prior outcome data, which may be available for just a sample of units. Using both principal components/cluster analysis and decision trees, we stratified primary sampling units for the 2009 Residential Energy Consumption Survey and compared the resulting strata.
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