扩展有限元法分析含裂纹板的剪切闭锁问题消除(英文)  

Shear Locking Avoidance in the Analysis of Cracked Plates by XFEM

作　　者：刘刚[1] 王敏[1] 黄一[1] 

机构地区：[1]大连理工大学运载工程与力学学部船舶工程学院,辽宁大连116024

出　　处：《船舶力学》2014年第6期690-699,共10页Journal of Ship Mechanics

基　　金：Supported by the Major State Basic Research Development Program of China(ProjectNo.2011CB013704);National Natural Science Foundation of China(Project No.51179027,51221961)

摘　　要：介绍了扩展有限元计算含裂纹板问题的基本方法,该方法以常规有限元为基础,通过在位移场中增加反映裂纹面的不连续函数及反映裂尖局部特性的裂尖渐近位移场函数,体现裂纹的存在,从而使裂纹与有限元模型相互独立,方便了裂纹扩展的模拟。采用求解Reissner板问题的混合插值单元MITC4,可以有效地避免剪切闭锁现象。通过相互作用能量积分确定混合模型的应力强度因子。最后,通过一系列的数值算例验证了该方法的正确性。A basic method to model cracks in plates is presented by using the extended finite element method（XFEM）. This method is based on the traditional finite element method, and can conveniently reflect the existence of the cracks by means of increasing discontinuous function and asymptotic displacement function in the standard displacement field. Thus, the crack geometries are independent of the finite element model and this method can greatly facilitate the simulation of crack growth. The mixed interpolation（MITC4） used for solving the problem of Reissner plates is adopted, which can effectively avoid the phenomenon of shear locking. The mixed-mode stress intensity factors are derived by using the interaction integral. Finally, numerical examples are used to illustrate the feasibility and accuracy of this method.

关 键 词：扩展有限元 应力强度因子 REISSNER板 MITC4单元 

分 类 号：TB30[一般工业技术—材料科学与工程]