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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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Linearized Elasticity Problems
2002Problems in the linearized theory of elasticity will require finding the solution of a set of coupled partial differential equations known as field equations, over a specified domain that is the region occupied by the reference configuration of the body, subject to prescribed boundary conditions on the boundary of the domain. In other words, linearized
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