Relevant bibliographies by topics / Effective elastic constants

Academic literature on the topic 'Effective elastic constants'

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Published: 30 May 2022
Last updated: 31 May 2022

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Journal articles on the topic "Effective elastic constants"

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Duquennoy, Marc, Mohammadi Ouaftouh, Dany Devos, Frédéric Jenot, and Mohamed Ourak. "Effective elastic constants in acoustoelasticity." Applied Physics Letters 92, no. 24 (June 16, 2008): 244105. http://dx.doi.org/10.1063/1.2945882.

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Grimsditch, M. "Effective elastic constants of superlattices." Physical Review B 31, no. 10 (May 15, 1985): 6818–19. http://dx.doi.org/10.1103/physrevb.31.6818.

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Kim, Jin-Yeon. "Effective elastic constants of anisotropic multilayers." Mechanics Research Communications 28, no. 1 (January 2001): 97–101. http://dx.doi.org/10.1016/s0093-6413(01)00149-5.

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Bosher, S. H. B., and D. J. Dunstan. "Effective elastic constants in nonlinear elasticity." Journal of Applied Physics 97, no. 10 (May 15, 2005): 103505. http://dx.doi.org/10.1063/1.1894586.

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Bonilla, Luis L. "Effective elastic constants of polycrystalline aggregates." Journal of the Mechanics and Physics of Solids 33, no. 3 (January 1985): 227–40. http://dx.doi.org/10.1016/0022-5096(85)90013-4.

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Dunstan, D. J., S. H. B. Bosher, and J. R. Downes. "Effective thermodynamic elastic constants under finite deformation." Applied Physics Letters 80, no. 15 (April 15, 2002): 2672–74. http://dx.doi.org/10.1063/1.1469658.

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Akcakaya, E., and G. W. Farnell. "Effective elastic and piezoelectric constants of superlattices." Journal of Applied Physics 64, no. 9 (November 1988): 4469–73. http://dx.doi.org/10.1063/1.341270.

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Bulut, Osman, Necla Kadioglu, and Senol Ataoglu. "Absolute effective elastic constants of composite materials." Structural Engineering and Mechanics 57, no. 5 (March 10, 2016): 897–920. http://dx.doi.org/10.12989/sem.2016.57.5.897.

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Sun, Yi, Gao Ying Kang, Ding Cui, and Jing Ran Ge. "Study on Effective Elastic Constants of Homogenization Tube Sheet." Advanced Materials Research 430-432 (January 2012): 158–63. http://dx.doi.org/10.4028/www.scientific.net/amr.430-432.158.

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The expressions of the effective elastic constants of composite material with cylindrical inclusions are derived based on M-T method, and it can be used in discussing the approximate range of effective elastic constant of air. Moreover, it is possible to homogenize tube-sheet by making use of the expression. The numerical result obtained is in good agreement with effective elastic constant adopted by the ASME code. It demonstrates that the approach is effective and accurate. At the last, the relationship between effective elastic and thickness of the tube-sheet is discussed.
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Li, Bao Feng, Jian Zheng, Xin Hua Ni, Ying Chen Ma, and Jing Zhang. "Effective Elastic Constants of Fiber-Eutectics and Transformation Particles Composite Ceramic." Advanced Materials Research 177 (December 2010): 182–85. http://dx.doi.org/10.4028/www.scientific.net/amr.177.182.

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The composite ceramics is composed of fiber-eutectics, transformation particles and matrix particles. First, the recessive expression between the effective stress in fiber-eutectic and the flexibility increment tensor is obtained according to the four-phase model. Second, the analytical formula which contains elastic constant of the fiber-eutectic is obtained applying Taylor’s formula. The eutectic is transverse isotropy, so there are five elastic constants. Third, the effective elastic constants of composite ceramics are predicted. The result shows that the elastic modulus of composite ceramic is reduced with the increase of fibers fraction and fibers diameter.
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Dissertations / Theses on the topic "Effective elastic constants"

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De, Bruin P. D. (Peter Douglas). "Experimental determination of the effective elastic constants of thin perforated plates." Thesis, Stellenbosch : Stellenbosch University, 1989. http://hdl.handle.net/10019.1/66862.

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Darya, zadeh S., and G. I. Lvov. "A new numerical method for determination of effective elastic constants in a composite with 3D orthogonal nonwoven fibers." Thesis, НТУ "ХПИ", 2015. http://repository.kpi.kharkov.ua/handle/KhPI-Press/25080.

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Seidel, Gary Don. "Micromechanics modeling of the multifunctional nature of carbon nanotube-polymer nanocomposites." [College Station, Tex. : Texas A&M University, 2007. http://hdl.handle.net/1969.1/ETD-TAMU-1881.

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Гребенюк, Сергій Миколайович, Сергей Николаевич Гребенюк, and Sergii M. Grebeniuk. "Напружено-деформований стан просторових конструкцій на основі гомогенізації волокнистих композитів." Thesis, Запорізький національний технічний університет, 2016. http://eir.zntu.edu.ua/handle/123456789/1212.

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Гребенюк, С. М. Напружено-деформований стан просторових конструкцій на основі гомогенізації пружних сталих волокнистих композитів [Текст]: дис. … д-ра тех. наук: 01.02.04 /Гребенюк Сергій Миколайович. – Запоріжжя, 2016. – 319 с.
UK: На основі аналітичних розв’язків методом представницького об’ємного елемента отримані співвідношення для ефективних пружних сталих композита з транстропними матрицею і волокном. Побудована матриця жорсткості паралелепіпедного скінченного елемента на основі моментної схеми, яка враховує особливості просторової орієнтації волокон. Описано підхід до розв’язку геометрично нелінійної задачі за допомогою модифікованого метода Ньютона-Канторовича. Запропоновані підходи використано при створенні пакету прикладних програм. Визначено напружено-деформований стан гумовокордних віброізоляторів та автомобільної шини, а також головного обтічника ракетоносія. EN: In terms of analytical solutions by use of the presentation box unit the correlations for the effective elastic constants of the composite with the trans-tropic matrix and fiber are first obtained. It is constructed the stiffness matrix of the parallelepiped finite element on the basis of the moment scheme taking into account specific of the spatial orientation of the fibers. The approach to the solution of the geometrically non-linear problem with the help of modified Newton-Kantorovich method is described. On the basis of the approaches proposed it is developed package of the applied programs. The stress-strained state of the rubber-cord vibration isolators and the car tyre as well as the main carrier rocket fairing is determined. RU: На основе аналитических решений методом представительного объемного элемента получены соотношения для эффективных упругих постоянных композита с транстропными матрицей и волокном. Построена матрица жесткости параллелепипедного конечного элемента на основе моментной схемы, которая учитывает особенности пространственной ориентации волокон. Описан подход к решению геометрически нелинейной задачи с помощью модифицированного метода Ньютона-Канторовича. Предложенные подходы использованы при создании пакета прикладных программ. Определено напряженно-деформированное состояние резинокордных виброизоляторов и автомобильной шины, а также головного обтекателя ракетоносителя.
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Auth, Thorsten [Verfasser]. "Effective curvature elastic constants for membrane polymer systems / vorgelegt von Thorsten Auth." 2003. http://d-nb.info/97314033X/34.

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Kaap, Dustin Lamont. "Dynamic effective elastic constants for perforated plates with square or tiangular penetration patterns." 1997. http://catalog.hathitrust.org/api/volumes/oclc/37775347.html.

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Book chapters on the topic "Effective elastic constants"

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Hönerlage, B. "CuI: force constants, elastic moduli, effective charges." In New Data and Updates for III-V, II-VI and I-VII Compounds, 356–58. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-540-92140-0_267.

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Kachanov, Mark. "On the Relationship between Fracturing of a Microcracking Solid and Its Effective Elastic Constants." In Toughening Mechanisms in Quasi-Brittle Materials, 373–78. Dordrecht: Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-011-3388-3_23.

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Hosten, Bernard, and Michel Castaings. "Validation at Lower Frequencies of the Effective Elastic Constants Measurements for Orthotropic Composite Materials." In Review of Progress in Quantitative Nondestructive Evaluation, 1193–99. Boston, MA: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4615-2848-7_153.

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Hosten, Bernard, and Michel Castaings. "An Acoustic Method to Predict the Effective Elastic Constants of Orthotropic and Symmetric Laminates." In Review of Progress in Quantitative Nondestructive Evaluation, 1201–7. Boston, MA: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4615-2848-7_154.

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"Determination of effective elastic constants of two phase composites." In Research and Applications in Structural Engineering, Mechanics and Computation, 175–76. CRC Press, 2013. http://dx.doi.org/10.1201/b15963-75.

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Chesnokov, E. M., D. W. Bell, J. H. Queen, Y. A. Kukharenko, and A. N. Chourayev. "Effective stress influence on elastic constants of fluid filled porous media." In Poromechanics II, 879–82. CRC Press, 2020. http://dx.doi.org/10.1201/9781003078807-139.

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Kanoun, Mohammed Benali, and Souraya Goumri-Said. "Theoretical Assessment of the Mechanical, Electronic, and Vibrational Properties of the Paramagnetic Insulating Cerium Dioxide and Investigation of Intrinsic Defects." In Handbook of Research on Nanoscience, Nanotechnology, and Advanced Materials, 431–46. IGI Global, 2014. http://dx.doi.org/10.4018/978-1-4666-5824-0.ch017.

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First-principles calculations are performed by taking into account the strong correlation effects on ceria. To obtain an accurate description including f electrons, the authors optimized the Coulomb U parameter for use in Local-Density Approximation (LDA) and Generalized Gradient Approximation (GGA) calculation. A good agreement with experimental data is obtained within the GGA+U (Wu-Cohen scheme). Elastic stiffness constants are found in correct agreement with the available experimental results. Born effective charge, dielectric permittivity, and the phonon-dispersion curves are computed using density functional perturbation theory. The origin of magnetism in undoped ceria with intrinsic defects is investigated. The authors show that both of Ce and O vacancies induce local moments and ferromagnetism without doping ceria by magnetic impurities in this chapter.
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Phan-Thien, Nhan, and Sangtae Kim. "Numerical Implementation." In Microstructures in Elastic Media. Oxford University Press, 1994. http://dx.doi.org/10.1093/oso/9780195090864.003.0008.

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Analytical solutions to a set of boundary integral equations are rare, even with simple geometries and boundary conditions. To make any reasonable progress, a numerical technique must be used. There are basically four issues that must be discussed in any numerical scheme dealing with integral equations. The first and most basic one is how numerical integration can be effected, together with an effective way of dealing with singular kernels of the type encountered in elastostatics. Numerical integration is usually termed numerical quadrature, meaning mathematical formulae for numerical integration. The second issue is the boundary discretization: when integration over the whole boundary is replaced by a sum of the integrations over the individual patches on the boundary. Each patch would be a finite element, or in our case, a boundary element on the surface. Obviously a high-order integration scheme can be devised for the whole domain, thus eliminating the need for boundary discretization. Such a scheme would be problem dependent and therefore would not be very useful to us. The third issue has to do with the fact that we are constrained by the very nature of the numerical approximation process to search for solutions within a certain subspace of L2, say the space of piecewise constant functions in which the unknowns are considered to be constant over a boundary element. It is the order of this subspace, together with the order and the nature of the interpolation of the geometry, that gives rise to the names of various boundary element schemes. Finally, one is faced with the task of solving a set of linear algebraic equations, which is usually dense (the system matrix is fully populated) and potentially ill-conditioned. A direct solver such as Gauss elimination may be very efficient for small- to medium-sized problems but will become stuck in a large-scale simulation, where the only feasible solution strategy is an iterative method. In fact, iterative solution strategies lead naturally to a parallel algorithm under a suitable parallel computing environment. This chapter will review various issues involved in the practical implementation of the CDL-BIEM on a serial computer and on a distributed computing environment.
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Cantor, Brian. "The Burgers Vector." In The Equations of Materials, 226–48. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198851875.003.0011.

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When a material is stretched beyond its elastic limit, the atoms and molecules begin to slide over each other. This is called plasticity, and is dominated by the motion of defects in the crystal structure of the material, notably line defects called dislocations. The structure and magnitude of a dislocation is defined by its Burgers vector, which is a topological constant for a given dislocation line in a given material, so there is an effective Burgers equation: b = constant. This chapter describes: the structure of edge; screw and mixed dislocations and their associated line energy; the way in which dislocations are generated and interact under stress, leading to the yield point, work hardening and a permanent set in the material; and the use during manufacturing of deformation processing, annealing, recovery and recrystallisation. Jan Burgers’ early life in Arnhem at the beginning of the 20th century is described, as are: his time as a student with the charismatic but depressive Paul Ehrenfest, who later committed suicide; his appointment as the first Professor of Aerodynamics at Technische Universiteit Delft at a time of massive growth in the aviation industry; his contributions to aerodynamic and hydrodynamic flow as well as major Dutch engineering projects such as the Zuiderzee dams and the Maas river tunnel; his growing disaffection with the commercialisation of science and its use in warfare; and his philosophical dalliance with Soviet communism and then American capitalism.
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Conference papers on the topic "Effective elastic constants"

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Druzhinin, A. B. "Effective Elastic Constants of Arbitrary Anisotropic Composite Material." In 59th EAGE Conference & Exhibition. European Association of Geoscientists & Engineers, 1997. http://dx.doi.org/10.3997/2214-4609-pdb.131.gen1997_p070.

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Essex, S. D., M. D. G. Potter, R. S. Dobedoe, S. Dixon, Donald O. Thompson, and Dale E. Chimenti. "ULTRASONIC CHARACTERIZATION OF EFFECTIVE ELASTIC CONSTANTS AND TEXTURE IN ALUMINIUM CORRELATED WITH EBSD." In REVIEW OF PROGRESS IN QUANTITATIVE NONDESTRUCTIVE EVALUATION: 34th Annual Review of Progress in Quantitative Nondestructive Evaluation. AIP, 2008. http://dx.doi.org/10.1063/1.2902566.

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Liu, Ying-Hong, Chien C. Chang, and Chih-Yu Kuo. "Effective Medium Properties of Periodic Elastic Layers by Homogenization." In ASME 2009 28th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2009. http://dx.doi.org/10.1115/omae2009-79860.

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In this study, we examine effective modes of acoustic waves in periodic solid layers embedded in ideal or viscous fluids. In particular, at the long-wavelength limit, a three-scale homogenization analysis is developed to derive the effective group velocities in analytical forms for the shear-vertical (SV) waves as well as for the longitudinal-shear-horizontal (P-SH) waves. It is found that propagating modes, i.e., modes with real group velocities, may be supported even if the fluid phase is viscous. A criterion for the existence of a vanishing effective viscosity is derived based on composite medium constants and the filling ratio of the fluid phase. The critical filling ratios at which an evanescent mode changes to a propagating mode are given for various solid-water systems. Finally, we would like to acknowledge that the analysis presented here benefited greatly from the article drawn attention to the first author by Prof. Mei some ten years ago: “C. Mei, J-L. Auriault, and C. O. Ng (1996) Some Applications of the Homogenization Theory, Advances in Applied Mechanics, Vol. 32, edited by J. Hutchinson and T. Y. Wu, Academic Press, New York.”
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Yoon, Young June. "The Estimated Anisotropic Poroelastic Constants of an Osteon." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-59519.

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Anisotropic poroelastic constants of an osteon are estimated by using the micromechanics. The drained elastic constants at the lacunar-canalicular porosity level are estimated by the effective moduli of the bone matrix containing the ellipsoidal cavities, the shape of lacunae. The undrained elastic constants are also calculated by the relation developed by Cowin (2003). These estimated anisotropic poroelastic constants will provide the database to develop an anisotropic poroelastic model of an osteon.
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Park, Young H., and Wesley Morgan. "Effective Elastic Moduli of Cracked Solid and Application to Functionally Graded Material." In ASME/JSME 2004 Pressure Vessels and Piping Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/pvp2004-2765.

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In this paper, effective moduli of cracked solid material were investigated. An analytical approach is discussed for a cracked solid containing randomly oriented inclusions by using elastic potential and a standard tensorial basis. A numerical simulation of the testing of mechanical responses of samples of cracked solid material (porous material) is also carried out. The numerical scheme in this work will focus mainly on numerical modeling of the observed behavior, in particular, the dependence of the macroscopic material properties on the porosity. This numerical scheme is also applied to functionally graded material (FGM). Effective elastic constants for FGM samples with various crack orientations and densities were calculated by both the boundary numerical integration method and the domain numerical integration method.
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Tajeddini, Vahid, Chien-hong Lin, Anastasia Muliana, and Martin Lévesque. "The Effect of Microstructural Morphologies on the Effective Electromechanical Properties of Piezoelectric Particle Composites." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-88915.

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This study introduces a micromechanical model that incorporates detailed microstructures for analyzing the effective electro-mechanical properties, such as piezoelectric and permittivity constants as well as elastic moduli, of piezoelectric particle reinforced composites. The studied composites consist of polarized spherical piezoelectric particles dispersed into a continuous and elastic polymeric matrix. A micromechanical model generated using three-dimensional (3D) continuum elements within a finite element (FE) framework. For each volume fraction (VF) of particles, realization with different particle sizes and arrangements were generated in order to represent microstructures of a particle composite. We examined the effects of microstructural morphologies, such as particle sizes and distributions, and particle volume fractions on the overall effective electro-mechanical properties of the active composites. The overall electro-mechanical properties determined from the present micromechanical model were compared to those generated using the Mori-Tanaka, self-consistent, and simplified unit-cell micromechanical models.
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Alexander, Amos, Jerome T. Tzeng, William H. Drysdale, and Bruce P. Burns. "Effective Properties of 3D Laminated Composites for Finite Element Applications." In ASME 1994 International Computers in Engineering Conference and Exhibition and the ASME 1994 8th Annual Database Symposium collocated with the ASME 1994 Design Technical Conferences. American Society of Mechanical Engineers, 1994. http://dx.doi.org/10.1115/cie1994-0439.

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Abstract A model has been developed to compute the effective properties for an arbitrarily shaped element with multiple anisotropic material regions. The analysis utilizes a finite element technique to resolve the complexity of three-dimensional layer geometry, anisotropy, ply orientations, and multi-material regions within an element. Accordingly, the model accounts for complex geometries requiring changes in mesh density and/or arbitrarily shaped elements that cannot be readily aligned with the layers of the laminate. Discontinuity due to ply drop-off or layer terminations within an element is also considered. The computed elastic constants are accurate, especially for the transverse shear properties. The analysis is particularly suitable for finite element applications of near-net shaped thick-section structures. A pre-processor was developed incorporating the effective property model to allow for generation of finite element representations for computer codes such as DYNA3D and ABAQUS.
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Qiu, Bo, Hua Bao, and Xiulin Ruan. "Multiscale Simulations of Thermoelectric Properties of PBTE." In ASME 2008 3rd Energy Nanotechnology International Conference collocated with the Heat Transfer, Fluids Engineering, and Energy Sustainability Conferences. ASMEDC, 2008. http://dx.doi.org/10.1115/enic2008-53040.

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In this paper, thermoelectric properties of bulk PbTe are calculated using first principles calculations and molecular dynamics simulations. The Full Potential Linearized Augmented Plane Wave (FP-LAPW) method is first employed to calculate the PbTe band structure. The transport coefficients (Seebeck coefficient, electrical conductivity, and electron thermal conductivity) are then computed using Boltzmann transport equation (BTE) under the constant relaxation time approximation. Interatomic pair potentials in the Buckingham form are also derived using ab initio effective charges and total energy data. The effective interatomic pair potentials give excellent results on equilibrium lattice parameters and elastic constants for PbTe. The lattice thermal conductivity of PbTe is then calculated using molecular dynamics simulations with the Green-Kubo method. In the end, the figure of merit of PbTe is computed revealing the thermoelectric capability of this material, and the multiscale simulation approach is shown to have the potential to identify novel thermoelectric materials.
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Aimmanee, Sontipee, Supharoek Trakarnkulchai, and Pakinee Aimmanee. "Micromechanics of a Smart Composite Actuator Embedded With Hollow Piezoelectric Fibers." In ASME 2011 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. ASMEDC, 2011. http://dx.doi.org/10.1115/smasis2011-5126.

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This paper presents a development of mathematical models for predicting the effective elastic and piezoelectric properties of a Smart Composite Actuator (SCA) reinforced with transversely isotropic piezoelectric hollow fibers. The models are established based on micromechanics of representative volume element of concentric cylinders or so-called concentric cylinder model (CCM). Five elastic constants and two piezoelectric coefficients are predicted as a function of fiber volume fraction, matrix volume fraction, and their constituents’ properties in the SCA. Numerical results of a chosen material system are obtained and discussed. The models can be found useful for developing a SCA or a novel hollow fiber-reinforced composite with the desired properties.
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Nakhwa, Sanjay, and Anil Saigal. "Modeling and Analysis of 1-3 Piezoelectric Composites." In ASME 2002 International Mechanical Engineering Congress and Exposition. ASMEDC, 2002. http://dx.doi.org/10.1115/imece2002-32316.

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Theoretical results of the material properties of piezoelectric composites are generally limited to the transversely isotropic composites and are usually given in the form of upper and lower bounds. In most of these analyses all the material constants cannot be determined. However, the method of effective field has been used on a transversely isotropic piezoelectric composite to theoretically calculate all the ten material properties. In this work an alternative method to determine all the elastic, dielectric and piezoelectric coupling constants of 1-3 piezoelectric composite with periodic arrangement of fibers are investigated by using finite element analysis on a unit cell model. FEA of unit cell models for hexagonal, square with diagonal and square with edge orientation topologies are performed. Different mechanical and electrical loading patterns and their corresponding boundary conditions are formulated and simulated to get data necessary for deriving the various anisotropic material constants. FEA results are compared with those of the theoretical work. Effect of different parameters e.g. volume fraction, topology and electrical boundary conditions on the different material constants are discussed.
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Reports on the topic "Effective elastic constants"

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Oliynyk, Kateryna, and Matteo Ciantia. Application of a finite deformation multiplicative plasticity model with non-local hardening to the simulation of CPTu tests in a structured soil. University of Dundee, December 2021. http://dx.doi.org/10.20933/100001230.

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In this paper an isotropic hardening elastoplastic constitutive model for structured soils is applied to the simulation of a standard CPTu test in a saturated soft structured clay. To allow for the extreme deformations experienced by the soil during the penetration process, the model is formulated in a fully geometric non-linear setting, based on: i) the multiplicative decomposition of the deformation gradient into an elastic and a plastic part; and, ii) on the existence of a free energy function to define the elastic behaviour of the soil. The model is equipped with two bonding-related internal variables which provide a macroscopic description of the effects of clay structure. Suitable hardening laws are employed to describe the structure degradation associated to plastic deformations. The strain-softening associated to bond degradation usually leads to strain localization and consequent formation of shear bands, whose thickness is dependent on the characteristics of the microstructure (e.g, the average grain size). Standard local constitutive models are incapable of correctly capturing this phenomenon due to the lack of an internal length scale. To overcome this limitation, the model is framed using a non-local approach by adopting volume averaged values for the internal state variables. The size of the neighbourhood over which the averaging is performed (characteristic length) is a material constant related to the microstructure which controls the shear band thickness. This extension of the model has proven effective in regularizing the pathological mesh dependence of classical finite element solutions in the post-localization regime. The results of numerical simulations, conducted for different soil permeabilities and bond strengths, show that the model captures the development of plastic deformations induced by the advancement of the cone tip; the destructuration of the clay associated with such plastic deformations; the space and time evolution of pore water pressure as the cone tip advances. The possibility of modelling the CPTu tests in a rational and computationally efficient way opens a promising new perspective for their interpretation in geotechnical site investigations.
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