含内埋裂纹的板条瞬态响应分析

利用线弹簧模型求解了阶跃载荷作用下含内埋裂纹的无限长板条问题，对采用基于线弹簧模型的解析方法求解三维裂纹动态问题作了有益的探索。定性解释了动态线弹簧采用静态线弹簧本构关系的可行性，通过积分变换方法，导出了描述内埋裂纹板条动态问题的Cauchy型奇异积分方程。进行了数值计算，对模型应用的合理性作了理论解释，并对内埋裂纹板条瞬态响应的影响因素作了细致的分析。

THE TRANSIENT RESPONSE ANALYSIS OF AN EMBEDDED CRACK IN STRIP

The problem of an embedded crack in a infinitely long elastic strip under step load is solved by using the line spring model, and the possibility of solving three dimensional dynamic crack by using analytical method based on the line spring model is discussed. The feasibility that the dynamic line spring constitutive law can be superseded by that of static line spring is illustrated qualitatively. The cauchy type singular integral equation of the problem is derived by using integral transform technique. Numerical results are presented, and the factors' effects on the transient response of the embedded crack are examined in detail.