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Classical and recent formulations for linear elasticity
Archives of Computational Methods in Engineering, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tchonkova, M., Sture, S.
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Russian Mathematical Surveys, 2008
Summary: This paper studies the propagation of one-dimensional nonlinear waves of small amplitude in elastic media, using analytic and numerical methods. The equations of nonlinear elasticity theory belong to the hyperbolic systems with conservation laws.
Kulikovskij, A. G., Chugainova, A. P.
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Summary: This paper studies the propagation of one-dimensional nonlinear waves of small amplitude in elastic media, using analytic and numerical methods. The equations of nonlinear elasticity theory belong to the hyperbolic systems with conservation laws.
Kulikovskij, A. G., Chugainova, A. P.
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The classical pressure vessel problems for linear elastic materials with voids
Journal of Elasticity, 1983zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cowin, S. C., Puri, P.
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2023
In rocks and concrete, dynamic excitation leads to a fast softening of the material, followed by a slower recovery process where the material recovers part of its initial stiffness as a logarithmic function of time. This requires us to exit the convenient framework of time independent elastic properties, linear or not, and investigate non-classical ...
Manuel Asnar +3 more
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In rocks and concrete, dynamic excitation leads to a fast softening of the material, followed by a slower recovery process where the material recovers part of its initial stiffness as a logarithmic function of time. This requires us to exit the convenient framework of time independent elastic properties, linear or not, and investigate non-classical ...
Manuel Asnar +3 more
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Journal of Testing and Evaluation, 2017
Abstract The present analysis concerns a finite-element study of sharp (cone) indentation of classical elastic–plastic materials with linear strain hardening and, especially, the details of the behavior of the size of the plastic zone are at issue.
P.-L. Larsson, E. Olsson
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Abstract The present analysis concerns a finite-element study of sharp (cone) indentation of classical elastic–plastic materials with linear strain hardening and, especially, the details of the behavior of the size of the plastic zone are at issue.
P.-L. Larsson, E. Olsson
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Physica D: Nonlinear Phenomena, 1989
We develop an exact theory of infinitesimal perturbation of relativistic elastic continua. We use our exact, nonlinear covariant theory of relativistic elasticity [see: the author, J. Geom Phys. 4, No.1, 51-69 (1987; Zbl 0636.73001)] based on the notion of finite conjugacy from a space-time (\({\mathcal M},g)\) to another space-time (\({\mathcal M}',g')
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We develop an exact theory of infinitesimal perturbation of relativistic elastic continua. We use our exact, nonlinear covariant theory of relativistic elasticity [see: the author, J. Geom Phys. 4, No.1, 51-69 (1987; Zbl 0636.73001)] based on the notion of finite conjugacy from a space-time (\({\mathcal M},g)\) to another space-time (\({\mathcal M}',g')
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2019
The classical linearised theory of elasticity provides a model that is useful for studying infinitesimal deformations of an elastic material. In this chapter, we briefly remark on the relationship between this linearised theory for infinitesimal deformations and the exact theory of elastic simple materials.
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The classical linearised theory of elasticity provides a model that is useful for studying infinitesimal deformations of an elastic material. In this chapter, we briefly remark on the relationship between this linearised theory for infinitesimal deformations and the exact theory of elastic simple materials.
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Classical Linearized Elasticity
1975The linearized theory of elasticity has been the subject of several treatises. For a detailed treatment we refer to the book by Sokolnikoff [1.5]. The basic equations are, however, briefly summarized in Sections 2.1–2.3 for the purpose of reference. As a preliminary to the definition of the effective modulus theory some exact solutions for homogeneous ...
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European Journal of Physics, 2006
Repeated elastic collisions of point particles on a finite frictionless linear track with perfectly reflecting endpoints are considered. The problem is analysed by means of an elementary linear algebra approach. It is found that, starting with a state consisting of a projectile particle in motion at constant velocity and a target particle at rest in a ...
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Repeated elastic collisions of point particles on a finite frictionless linear track with perfectly reflecting endpoints are considered. The problem is analysed by means of an elementary linear algebra approach. It is found that, starting with a state consisting of a projectile particle in motion at constant velocity and a target particle at rest in a ...
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Journal of Elasticity, 1997
The author presents a complete and unified study of symmetries and anisotropies of classical and micropolar elasticity tensors. Using a new method based on a well-chosen complex vector basis and algebra of complex tensors, the author proves that an arbitrary elasticity tensor can possess only 1-fold, 2-fold, 3-fold, 4-fold or \(\infty\)-fold symmetry ...
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The author presents a complete and unified study of symmetries and anisotropies of classical and micropolar elasticity tensors. Using a new method based on a well-chosen complex vector basis and algebra of complex tensors, the author proves that an arbitrary elasticity tensor can possess only 1-fold, 2-fold, 3-fold, 4-fold or \(\infty\)-fold symmetry ...
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