层状弹性材料界面J积分的产生和特征

发布时间：2018-06-26 12:36

本文选题：J积分 + 界面　；参考：《应用数学和力学》2017年10期

【摘要】：层状弹性材料的裂纹方向垂直于界面时,沿围绕裂尖的任意一条封闭路径Γ的J积分(J_Г)由两部分组成,J_Г=J_(tip)+J_(int),这里J_(tip)表示裂尖产生的J积分,J_(int)表示Γ所包围的界面产生的J积分.裂尖产生的J积分不随Γ变化,物理含义是裂纹扩展能量释放率;界面产生的J积分随Γ变化,物理含义与裂纹扩展能量释放率无关.界面J积分的产生使J_Г失去了路径无关特性,也失去了实际物理意义.为了有助于理解非均匀材料J积分的含义和局限性,分析了层状弹性材料界面J积分的产生原因和特点.由不同均匀弹性材料组成的层状材料中,应变能密度的跳跃是界面J积分产生的原因,而弹性模量和残余应力在界面处的跳跃可使应变能密度在界面处产生跳跃.层状弹性材料的界面J积分之间具有相互抵消的作用.
[Abstract]:The crack direction of the layered elastic material is perpendicular to the interface, and the J integral (J_) along any closed path around the crack tip is composed of two parts, J_ =J_ (tip) +J_ (int), where J_ (tip) represents the J integral produced by the crack tip, and J_ (int) represents the integral integral produced by the interface surrounded by gamma. The integral of the crack tip does not change with the gamma, and the physical meaning is cracked. The J integral generated by the interface changes with gamma, and the physical meaning is independent of the energy release rate of the crack propagation. The generation of the interface J integral loses the path independence and the physical meaning of the J_. In order to understand the meaning and limitation of the J integral of nonuniform materials, the J product of the layered elastic material interface is analyzed. The causes and characteristics of the formation are the causes of the jump of the strain energy density in the layered material consisting of different homogeneous elastic materials. The jump of the elastic modulus and the residual stress at the interface can make the strain energy density jump at the interface. The J integral of the interface of the layered elastic material has the counteraction of the J integral. Use.
【作者单位】：上海工程技术大学飞行学院;
【基金】：国家自然科学基金(51175321)~~
【分类号】：O346.1

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