Ⅰ型裂纹受突加荷载时裂尖应力场的非局部理论解  

Theory for the Nonlocal Stress Field at the Tip of Crack Type

作　　者：胡益平[1] 王铎[2] 

机构地区：[1]四川联合大学建筑学院,成都610065 [2]哈尔滨工业大学力学系,哈尔滨150006

出　　处：《四川联合大学学报（工程科学版）》1999年第2期26-33,共8页

摘　　要：本文应用非局部场理论分析了工型裂纹在突加荷载作用时裂尖应力场的问题，利用Ｅｒｉｎｇｅｎ提出的简化场方程导出了该问题的对偶积分方程．并通过数值计算方法得到该问题的数值解，结果表明在裂纹尖端应力场是非奇异的。According to the theory of nonlocal elasticity, the transient problem of cracktype I on which surfaces suddenlly appear equal and opposite stresses are studied in this paper.The dual - integral equations for this problem is derived based on Eringen's simple fieldequations and the mathematical solutions of stress field at the crack tip are obtaind. Conclution shows these solutions give no stress singularity the crack tip.

关 键 词：非局部场 裂尖应力场 突加荷载 Ⅰ型裂纹 

分 类 号：O346.1[理学—固体力学] O33[理学—力学]