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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
【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.
【Abstract】 In order to describe the obliquely crossing of yarns and linear mechanical property of fabric in deformed configuration, an obliquetropic microconstitutive 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 nonlinearity 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;
细观线性本构模型;
材料主轴;
本构转换非线性;
【Key words】 woven fabric; micro-constitutive model; principle axes of material; non-linearity of transformation of constitutive model;
【Key words】 woven fabric; micro-constitutive model; principle axes of material; non-linearity of transformation of constitutive model;
【基金】 国家自然科学基金资助项目(10272079).
- 【文献出处】 天津大学学报 ,Journal of Tianjin University , 编辑部邮箱 ,2003年03期
- 【分类号】TS101
- 【被引频次】13
- 【下载频次】168