受损介质变形非协调模型  

Incompatible deformation model of materials with damage

作　　者：王云[1] 郝际平[1] 

机构地区：[1]西安建筑科技大学土木工程学院

出　　处：《西安建筑科技大学学报（自然科学版）》2008年第3期331-334,共4页Journal of Xi'an University of Architecture & Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(50378078)

摘　　要：当介质受损即内部存在微观几何缺陷时,将不能满足变形协调条件.从连续介质损伤理论出发,建立受损介质的变形非协调模型.首先由四阶损伤影响张量定义拟塑性应变张量,并提出假定:总应变由弹性应变和拟塑性应变两部分组成,且总应变是协调的;拟塑性应变不产生应力,只描述受损介质内部结构变化.最后算例中分别从考虑和不考虑损伤主值之间耦合作用两种情况讨论了二维情况下各向同性材料受各向异性损伤的变形非协调模型.该模型显著拓展了弹塑性模型描述能力,形式简单、物理意义明确,易于工程中应用.Materials with damage, or internal microscopic geometrical defects, can＇t satisfy the coordination condition of deformation. So it can＇t be. solved in classical theory. The paper establishes the incompatible deformation model of materials with damage based on the continuum elastic damage theory. The paper firstly defines the quasi-plastic strain tensor with fourth-order damage influence tensor, and assumes that the total strain is composed of elastic strain and quasi-plastic strain which doesn＇t create stress. Finally,it discusses the incompatible deformation model of isotropic materials with anisotropic damage in two-dimension, considering the coupled reaction of damage in two-dimension or not separately. With the simple expression, the incompatible deformation model of materials with damage extends the elastic-plastic model remarkably and is easy to apply.

关 键 词：损伤力学 变形非协调模型 受损介质 拟塑性应变 损伤影响张量 

分 类 号：O346.5[理学—固体力学]