The Proceedings of the Materials and Mechanics Conference
Online ISSN : 2424-2845
2012
Session ID : OS2009
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OS2009 New Constitutive Equation in the Theory of Elasticity and Plasticity
Senji IMAMURAHironori OHHARA
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Abstract
The Prandtl-Reuss constitutive equation is used to describe the relationship between strain and stress in the theory of elasticity and plasticity. This constitutive equation is expressed separately for the elastic and plastic regions. It was shown that the boundary between elasticity and plasticity can be clearly measured using an intelligent universal test machine. It was proposed that the relationship between stress and strain in both the elastic and plastic regions can be expressed as a single constitutive equation. In this study, it was shown that the relationship between stress and strain can be explained by applying the complementary function method in the elastic and plastic regions.
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© 2012 The Japan Society of Mechanical Engineers
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