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.