中文摘要：

放大边界有限元素方法(SBFEM ) 是联合两个有限元素方法的优点的一个最近发达的数字方法(女性) 并且边界元素方法(BEM ) 并且与它的自己的特殊特征也。最突出的优点之一从其在裂缝尖端的奇特是经分解的答案代表了的压力直接是它精明的压力紧张因素(SIF ) 的能力。这个优点在这研究被拿为静态、动态的破裂问题建模。为静态的问题，象一样简单的一个重新协调的算法在 BEM 使用当保留概论和灵活性时，被开发女性。混合模式裂缝繁殖的充分自动的建模然后被把重新协调的算法与一个繁殖标准相结合认识到。为动态破裂问题，在频率领域管理方程的 SBFEM 的一个最新发达的增加系列的答案被使用计算动态 SIF。三个飞机问题被建模。数字结果证明 SBFEM 罐头精确地预言静态、动态的 SIF，击碎路径和负担排水量曲线，用仅仅传统的有限元素方法通常需要的自由的很少的度。

英文摘要：

The scaled boundary finite element method （SBFEM） is a recently developed numerical method combining advantages of both finite element methods （FEM） and boundary element methods （BEM） and with its own special features as well. One of the most prominent advantages is its capability of calculating stress intensity factors （SIFs） directly from the stress solutions whose singularities at crack tips are analytically represented. This advantage is taken in this study to model static and dynamic fracture problems. For static problems, a remeshing algorithm as simple as used in the BEM is developed while retaining the generality and flexibility of the FEM. Fully-automatic modelling of the mixed-mode crack propagation is then realised by combining the remeshing algorithm with a propagation criterion. For dynamic fracture problems, a newly developed series-increasing solution to the SBFEM governing equations in the frequency domain is applied to calculate dynamic SIFs. Three plane problems are modelled. The numerical results show that the SBFEM can accurately predict static and dynamic SIFs, cracking paths and load-displacement curves, using only a fraction of degrees of freedom generally needed by the traditional finite element methods.