运动变载荷作用下的非对称Ⅲ型界面裂纹的解析解

通过复变函数论的方法,对Ⅲ型非对称动态界面裂纹的扩展问题进行了研究.采用自相似函数的途径和利用相应的微分、积分运算,就可以很容易地获得解析解的一般表达式.应用该法可以迅速地将所讨论的问题转化为Riemann-Hilbert问题,并求得了运动变载荷ptn/xn、ptn 1/xn分别作用下Ⅲ型非对称动态界面裂纹解析解.利用这些解并采用叠加原理,就可以求得任意复杂问题的解.     

Asymmetrical dynamic propagation problems on mode Ⅲ interface crack

By the application of the theory of complex functions, asymmetrical dynamic propagation problems on mode Ⅲ interface crack are studied. The universal representations of analytical solutions are obtained by the approaches of self-similar function. The problems researched can be facilely transformed into Riemann-Hilbert problems and analytical solution to an asymmetrical propagation crack under the condition of point loads and unit-step loads, respectively, is acquired. After those solutions were used by superposition theorem, the solutions of arbitrarily complex problems could be attained.     

计算机辅助工程(CAE)及其发展

 CAD/CAM/CAE三者中，前两者概念较直观，CAE概念则是发展的，涵盖范围 广，比较灵活. 当前，CAE已由数值计算发展到仿真，并向CAD/CAM全面融合的虚拟现实拓 展. 随着有限元技术的成熟以及神经网络、遗传算法等智能算法的引入，计算机辅助工程分 析不仅服务于详细设计，而且支持总体方案设计. 基于产品研发过程，对CAE本身进行 了分析，全面阐述了CAE的目标、物理内容、算法，说明了有限元/人工智能在方案设计中 的应用. 对优化技术的发展历程进行了回顾，并展望了未来CAE的发展动向及若干重要问题.     

Asymmetrical dynamic propagation problems on mode III interface crack

By the application of the theory of complex functions, asymmetrical dynamic propagation problems on modeⅢinterface crack are studied. The universal representations of analytical solutions are obtained by the approaches of self-similar function. The problems researched can be facilely transformed into Riemann-Hilbert problems and analytical solution to an asymmetrical propagation crack under the condition of point loads and unit-step loads, respectively, is acquired. After those solutions were used by superposition theorem, the solutions of arbitrarily complex problems could be attained.     

Ⅲ型界面裂纹的非对称动态扩展问题

采用复变函数论的方法,对Ⅲ型界面裂纹的非对称动态扩展问题进行了研究．通过自相似函数的方法可以获得解析解的一般表达式．应用该法可以迅速地将所论问题转化为Riemann-Hilbert问题,并求得了非对称扩展裂纹分别在集中载荷、阶跃载荷作用下的解析解．利用这些解并采用叠加原理,就可以求得任意复杂问题的解．     

非对称Ⅲ型界面裂纹扩展的动态问题

通过复变函数论的方法,对非对称Ⅲ型界面裂纹扩展的动态问题进行了研究.采用自相似函数的方法可以轻易地将所论问题转化为Riemann-Hilbert问题,并求得了裂纹坐标原点分别受到变载荷Pt/z,Px3/t2作用下的解析解的一般表达式.通过Muskhelishvili方法可以相当简单地得到问题的闭合解.利用这些解并采用叠加原理.可以求得任意复杂问题的解.