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Infinitesimal deformations of finite conjugacies in non-linear classical or general relativistic theory of elasticity

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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Elastic collisions of classical point particles on a finite frictionless linear track with perfectly reflecting endpoints

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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Classical Linear Elasticity

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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Classical Linearized Elasticity

1975
The 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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On Symmetries and Anisotropies of Classical and Micropolar Linear Elasticities: A New Method Based upon a Complex Vector Basis and Some Systematic Results

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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Micro-structure in linear elasticity

Archive for Rational Mechanics and Analysis, 1964
R D Mindlin, Mindlin R D
exaly  

Effects of couple-stresses in linear elasticity

Archive for Rational Mechanics and Analysis, 1962
R D Mindlin, H F Tiersten, Mindlin R D
exaly  

A coupling method between phase field model and classical linear elastic theory model for static and dynamic fracture

Theoretical and Applied Fracture Mechanics
Yuanfeng Yu   +3 more
openaire   +1 more source

Some remarks on overdetermined systems in linear elasticity

Journal of Elasticity, 1987
L E Payne, Payne L E
exaly  

Integro-differential approach to solving problems of linear elasticity theory

Doklady Physics, 2005
Georgy Kostin   +2 more
exaly  

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