INTERFACIAL EXCESS ENERGY, EXCESS STRESS AND EXCESS STRAIN IN ELASTIC SOLIDS

摘要：

In this paper,interracial excess energy and interfacial excess stress for coherent interfaces in an elastic solid are reformulated within the framework of continuum mechanics.It is shown that the well-known Shuttleworth relationship between the interfacial excess energy and interfacial excess stress is valid only when the interface is free of transverse stresses.To account for the transverse stress,a new relationship is derived between the interfacial excess energy and interfacial excess stress.Dually,the concept of transverse interfacial excess strain is also introduced,and the complementary Shuttleworth equation is derived that relates the interfacial excess energy to the newly introduced transverse interracial excess strain.This new formulation of interfacial excess stress and excess strain naturally leads to the definition of an in-plane interfacial stiffness tensor,a transverse interfacial compliance tensor,and a coupling tensor that accounts for the Poissons effect of the interface.These tensors fully describe the elastic behavior of a coherent interface upon deformation.A semi-analytical method to evaluate these tensors based on given inter-atomic potentials is also presented.

作者: Rémi Dingrevill Jianmin Qu

作者单位: School of Mechanical Engineering,Georgia Institute of Technology,Atlanta,GA,USA

会议类型: 国际会议

会议名称: 第二届国际非均质材料力学会议(The Second International Conference on Heterogeneous Material Mechanics)

会议地点: 安徽黄山

会议语种:英文

页码: 105

在线出版日期: 2008-06-03（万方平台首次上网日期，不代表论文的发表时间）