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�������պ����ѧѧ�� 2002, Vol. 28 Issue (4) :402-404    DOI:
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Third-Order Constitutive Law for Nonlinear Elastic Materials
WANG Shou-mei, XU Ming, LI Ning*
Beijing University of Aeronautics and Astronautics, Dept. of Flight Vehicle Design and Applied Mechanics

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Abstract�� A rigorous derivation of constitutive laws for nonlinear behavior of compressible and incompressible elasticity is presented. As a tensor-valued function with a single tensor variable, i.e. strain, stress is expressed as a tensor polynomial that contains high order elasticity tensors. Various symmetric features of these tensors are then introduced to simplify the expression. Finally, for isotropic material the constitutive laws and strain energy functions are obtained. The expressions satisfy the criterion known as representation theorem for tensor functions and are complete and irreducible.
Keywords�� non-linear   strain energy   constitutive equations     
Received 2000-10-30;
About author: ����÷(1936-),��,ɽ���ൺ��,����,100083,����.
����÷, ����, ����.�����Ե��Բ��ϵ����ױ�������[J]  �������պ����ѧѧ��, 2002,V28(4): 402-404
WANG Shou-mei, XU Ming, LI Ning.Third-Order Constitutive Law for Nonlinear Elastic Materials[J]  JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A, 2002,V28(4): 402-404
http://bhxb.buaa.edu.cn//CN/     ��     http://bhxb.buaa.edu.cn//CN/Y2002/V28/I4/402
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