冲击载荷下无限长条损伤材料反平面裂纹问题研究  

Study of anti-plane cracks in materials with damage of an infinite length strip under impact loading

作　　者：蔡艳红[1] 陈浩然[1] 白瑞祥[1] 王灿[1] 

机构地区：[1]大连理工大学工业装备结构分析国家重点实验室,辽宁大连116024

出　　处：《大连理工大学学报》2006年第4期484-487,共4页Journal of Dalian University of Technology

基　　金：国家自然科学基金资助项目(10272025);国家"973"重大基础研究计划资助项目(2006CB601205)

摘　　要：为了研究冲击载荷下小范围损伤时材料的裂纹问题,建立了无限长条含损伤材料的反平面有限长裂纹的力学模型.从宏观唯象角度,采用L em a itre在应变等效假设基础上建立的损伤本构方程,通过积分变换-对偶积分方程方法,获得了裂纹尖端动态应力场.动态应力强度因子的计算结果显示,在小范围损伤的情况下,随着损伤的增加,动态应力强度因子的幅值降低,反映了小范围损伤时损伤对裂纹扩展的屏蔽作用.The anti-plane mechanical model of infinite length strip in a finite length crack was established for studying the crack-tip str materials with damage embedded ess field under small-scale damage. From the macro-point of view, the dynamic stress field around mpaet loading and the crack-tip was investigated, and the Lemaitre＇s damage constitutive equation based on the hypothesis of equivalent strain is employed. A dual integral equation was deduced by both Fourier and Laplace integral transforms methods and corresponding solution was obtained using a numerical scheme. From the numerical results of a typical example, it can be seen that the dynamic stress intensity factor decreases with the damage factor increasing, showing the shielding effect of the damage to crack propagation under small-scale damage.

关 键 词：损伤 动态应力强度因子 裂纹 冲击 

分 类 号：O34[理学—固体力学]