有限变形弹性体动态J积分守恒及其对偶形式

提出了含裂纹弹性体在有限变形条件下裂纹尖端的动态Ｊ积分及其对偶形式，并利用有限变形弹性体的基本方程及弹性体势能与余能的对偶关系，给出了其路径守恒的证明。本文提出的崐积分形式在考虑小变形或静态时将退化为小变形或静态下的Ｊ积分及其对偶形式，从而建立了适应于各种弹性变形范围的统一的Ｊ积分及其对偶形式，拓宽了Ｊ积分的应用范围。

Dynamic Path-Independent J-Integral and Its Dual Form in Elastic-Plastic Solids with Deformation

This paper presents the dynamic path-independent J-integral and its dual form in elastic-plastic solids with finite deformation (FD). Then based on the basic equations of elastic-plastic solids with FD and the principles of potential and residual, the reasoning of their path-independence is given.On the condition of small deformation (SD) or elastostatics the new integral forms can freturn to the forms of SD or elastostatics. so that the uniform dynamic path-independent J-integral and its dual form suitable to both SD and FD is founded and the applicable domain of dynamic J-integral in fracture is extended.