Abstract: This paper investigates the constitutive relation of an anisotropic laminate in the nonlinear hygrothermal field.The general equation of hygrothermal field for nonlinear distribution along thickness satisfying the boundary condition was drawn up in this paper.Therefore,the matrix equations of internal force,strain,residual stress and residual strain for a laminate were obtained.These equations are also applicable to the hygrothermal field of uniform distribution and linearity.

Key words: constitutive relation, residual stress, hygrothermal field, partial axis

摘要： 本文研究了各向异性层合板在非线性湿、温场中的本构关系。文中提出了满足湿温边界条件沿板厚呈非线性分布湿温场的一般方程,从而导出层合板内力、应变、残余应力和残余应变的矩阵表达式。该表达式也适用于均匀和线性湿、温场。

关键词: 本构关系, 残余应力, 湿温场, 偏轴