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2014 | OriginalPaper | Chapter

Elastic Constitutive Equations

Author : Koichi Hashiguchi

Published in: Elastoplasticity Theory

Publisher: Springer Berlin Heidelberg

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Elastic deformation is induced by the reversible change of distances between material particles without a mutual slip between them. They therefore exhibit high stiffness. Elastic constitutive equations are classifiable into the three types depending on their levels of reversibility, i.e. the

hyperelasticity

(or

Green elasticity

) possessing the strain energy function, the

Cauchy elasticity

possessing the one-to-one correspondence between stress and strain and the

hyperelasticity

possessing the linear relation between stress rate and strain rate. As preparation for the study of elastoplasticity in the subsequent chapters, they are explained in this chapter.

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Metadata
Title
Elastic Constitutive Equations
Author
Koichi Hashiguchi
Copyright Year
2014
Publisher
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-35849-4_5

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