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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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Integro-differential approach to solving problems of linear elasticity theory
Doklady Physics, 2005Georgy V Kostin, Vasily V Saurin
exaly
Validity of linear elasticity in the crack-tip region of ideal brittle solids
International Journal of Fracture, 2014James Kermode +2 more
exaly
On the contact problem of classical elasticity
Journal of Elasticity, 2009Alfonsina Tartaglione
exaly