CAJ | 학술논문

应用界面断裂力学理论和Stroh方法,研究了广义平面变形下动态裂纹沿着各向异性双材料界面扩展时的裂尖奇异应力及动态应力强度因子.双材料界面的动态裂尖区域特性主要由两个实矩阵W和D确定,且裂尖奇异应力和动态应力强度因子可以由包含这两个矩阵的柯西奇异积分方程确定,同时给出了动态应力强度因子和能量释放率的显示表达式.算例得出当裂纹以小速度扩展时,裂尖振荡因子ε与静态时几乎相同,当界面裂纹扩展速度接近瑞利波速时,ε趋于无穷大;同时得出应力强度因子及能量释放率随裂纹扩展速度的变化关系.
응용계면단렬역학이론화Stroh방법,연구료엄의평면변형하동태렬문연착각향이성쌍재료계면확전시적렬첨기이응력급동태응력강도인자.쌍재료계면적동태렬첨구역특성주요유량개실구진W화D학정,차렬첨기이응력화동태응력강도인자가이유포함저량개구진적가서기이적분방정학정,동시급출료동태응력강도인자화능량석방솔적현시표체식.산례득출당렬문이소속도확전시,렬첨진탕인자ε여정태시궤호상동,당계면렬문확전속도접근서리파속시,ε추우무궁대;동시득출응력강도인자급능량석방솔수렬문확전속도적변화관계.
Following the interfacial fracture theory and Stroh formalism, singular stresses and dynamic stress intensity factors are evaluated when the dynamic crack grows along the interface of anisotropic bimaterials. The characteristic in dynamic crack fields depended on two real matrices W and D (3×3), and it is found that the singular stresses and dynamic stress intensity factors are determined by Cauchy singular integral equation including the two real matrices, and the explicit expressions for the dynamic stress intensity factors. The numerical example demonstrates that the oscillatory index ε gets simular in static state in case of lower crack growth velocity while it goes to infinity as the crack growth velocity approaches Rayleigh wave one.