A note on the derivation of the derivatives of invariants of stretch tensor to the right C

A note on the derivation of the derivatives of invariants of stretch tensor to the right Cauchy-Green tensor

TIAN Dongyan;JIN Ming ;DUI Guansuo

【期刊名称】《自然科学进展（英文版）》 【年(卷),期】2006(016)001

【摘要】A new approach for the derivation of the principal invariants 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.

【总页数】4页(96-99)

【关键词】continuum mechanics;invariant;strain energy;tangent modulus

【作者】TIAN Dongyan;JIN Ming ;DUI Guansuo

【作者单位】Institute of Engineering Mechanics, School of Civil Engineering and Architecture, Beijing Jiaotong University, Beijing