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.