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

作　　者：张义同[1] 谢宇新[1] 

机构地区：[1]天津大学机械工程学院,天津300072

出　　处：《天津大学学报（自然科学与工程技术版）》2003年第3期271-275,共5页Journal of Tianjin University：Science and Technology

基　　金：国家自然科学基金资助项目(10272079).

摘　　要：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.

关 键 词：织物力学 变形构形 细观线性本构方程 本构转换非线性 材料主轴 细观编织结构 

分 类 号：TS101.2[轻工技术与工程—纺织工程]