Linear Constitutive Relations in Isotropic Finite Elasticity |
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Authors: | RC Batra |
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Institution: | (1) Department of Engineering Science and Mechanics, MC 0219, Virginia Polytechnic Institute and State University, Blacksburg, VA, 24061 |
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Abstract: | For simple shearing and simple extension deformations of a homogeneous and isotropic elastic body, it is shown that a linear
relation between the second Piola-Kirchhoff stress tensor and the Green-St. Venant strain tensor does not predict a physically
reasonable response of the body. This constitutive relation implies that the slope of the curve between an appropriate component
of the first Piola-Kirchhoff stress tensor and a deformation measure is an increasing functions of the deformation measure.
This revised version was published online in August 2006 with corrections to the Cover Date. |
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Keywords: | Neo-Hookean material tangent modulus |
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