Abstract

Abstract A new approach for the derivation of the principal i8nvariants of the stretch tensor with respect to the right Cauchy - Green tensor is presented in this paper. According to the definition of the derivation of tensor function, the three first-order derivatives for the principal invariants of the stretch tensor are obtained through derivation directly to the right Cauchy -Green tensor by incremental method. Then the three second-order derivatives are yielded by the derivation to the right Cauchy -Green strain tensor directly. Furthermore an explicit expression of the tangent modulus of the general Varga material is given as an example. Supported by the school foundation of Bejing Jiaotong University (Grant No. TJ2002J0180)

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