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扩展有限元法分析含裂纹板的剪切闭锁问题消除

Shear Locking Avoidance in the Analysis of Cracked Plates by XFEM

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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 ele-ment method (XFEM). This method is based on the traditional finite element method, and can con-veniently 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 inten-sity factors are derived by using the interaction integral. Finally, numerical examples are used to il-lustrate the feasibility and accuracy of this method.

extended finite elementstress intensity factorReissner plateMITC4 element

刘刚、王敏、黄一

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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

扩展有限元 应力强度因子 Reissner板 MITC4单元

Major State Basic Research Development Program of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of China

2011CB0137045117902751221961

2014

10.3969/j.issn.1007-7294.2014.06.008

船舶力学
中国船舶科学研究中心 中国造船工程学会

船舶力学

CSTPCDCSCD北大核心EI
影响因子：0.437
ISSN：1007-7294
年,卷(期)：2014.(6)
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