叠层板基体开裂分析的三维半解析有限元法  

Three-dimensional Semi-analytical Finite Element Method for the Study of Transverse Failure in Cross-by Laminates

作　　者：富明慧[1] 陈娜[1] 蓝林华[1] 

机构地区：[1]中山大学应用力学与工程系,广东广州510275

出　　处：《中山大学学报（自然科学版）》2007年第1期31-35,共5页Acta Scientiarum Naturalium Universitatis Sunyatseni

基　　金：国家自然科学基金资助项目(10672194);广东省自然科学基金资助项目(031552)

摘　　要：提出了叠层板基体开裂分析的一种三维半解析有限元方法,该方法能方便地应用于各种形状的基体裂纹问题,且具有精度好,效率高的优点。对于裂纹扩展问题,提出了一种高效的半解析矩阵摄动法。在实例分析中,验证了该方法的精度,同时分析了具体的基体开裂问题。A kind of three-dimensional semi-analytical finite dement method is put forward for the analysis of transverse failure in cross-by laminates. The method can be applied to different shape transverse failure problems. The method has the properties of high efficiency and good precision. When crack expanding problem is studied, a high efficiency semi-analytical matrix perturbation method is put forward. An idiographic crack problem of laminates are performed in the examples, some important conclusions are obtained.

关 键 词：叠层板 基体开裂 半解析单元 应变能释放率 矩阵摄动法 

分 类 号：O343[理学—固体力学]