变形构形下织物的细观线性本构方程

Linear Micro-Constitutive Model of Woven Fabric in Deformed Configuration

为了模拟织物在变形构形下纱线斜交的线性本构行为,给出了Euler描述下的织物斜交异性细观线性本构方程.相对于初始构形,在变形构形下的线性本构关系则变为非线性,并被称为本构转换非线性.在小变形下,给出的本构方程Lagrange形式将蜕化为已有织物在初始构形下的细观线性本构方程.

In order to describe the obliquely crossing of yarns and linear mechanical property of fabric in deformed configuration, an obliquetropic microconstitutive model for woven fabric in Euler picture is proposed. It is shown that the linear constitutive model in deformed configuration will become nonlinear in original configuration-which is known as nonlinearity of transformation of constitutive model. Under assumptions of small deformation, the model in Lagrange picture will degenerate into the existing linear model.