Buckling failure analysis of cracked functionally graded plates by a stabilized discrete shear gap extended 3-node triangular plate element
Buckling failure analysis of cracked functionally graded plates by a stabilized discrete shear gap extended 3-node triangular plate element
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DOI：
10.1016/j.compositesb.2015.03.036
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发表时间：
2015-08
影响因子：
13.1
通讯作者：
Peng Liu;T. Bui;Deju Zhu;Tiantang Yu;Jianfeng Wang;Shuohui Yin;S. Hirose
中科院分区：
文献类型：
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作者：
Peng Liu;T. Bui;Deju Zhu;Tiantang Yu;Jianfeng Wang;Shuohui Yin;S. Hirose
本文给出了含裂纹复合材料功能梯度板在单向和双向压缩载荷作用下屈曲失效分析的新的数值结果。在扩展有限元法（XFEM）的背景下，开发了一个精确的扩展三节点三角形板单元，结合离散剪切间隙法（DSG），以消除剪切锁定。板块运动学是基于Reissner-Mindlin理论，并假设材料属性在厚度方向上变化，服从幂律分布。DSG-XFEM是有效和准确的，因为它具有许多理想的优点：方便地表示裂纹的几何形状，这是独立的网格;剪切锁定效应不再有效;网格变形是不敏感和可控的;薄板是可能的;三角形单元很容易产生的问题，即使与复杂的几何形状;和高精度。通过算例分析了裂纹长度、材料级配、网格畸变、裂纹倾角、边界条件、宽厚比、长度比等对临界屈曲系数的影响。数值结果表明，材料级配、裂缝长度、厚度、裂缝长度比等因素对混凝土的性能有很大的影响。这种现象主要是由于局部缺陷和材料成分的存在导致板的刚度下降。此外，边界条件大大改变了CBC，而裂纹角的倾斜被发现是微不足道的。
We present new numerical results in buckling failure analysis of cracked composite functionally graded plates subjected to uniaxial and biaxial compression loads. An accurate extended 3-node triangular plate element in the context of the extended finite element method (XFEM) is developed, integrating the discrete shear gap method (DSG) to eliminate shear-locking. The plate kinematics is based on the Reissner–Mindlin theory, and material properties are assumed to vary through thickness direction, obeying a power law distribution. The developed DSG-XFEM is found to be effective and accurate as it owns many desirable advantages: conveniently representing crack geometry which is independent of the mesh; shear-locking effect is no longer valid; mesh distortion is insensitive and controllable; thin plates is possible; triangular elements are easily generated for problems even with complex geometries; and high accuracy. All these arisen features are demonstrated through numerical examples and the effects of crack-length, material gradation, mesh distortion, inclined angles of cracks, boundary conditions, width-to-thickness ratio, length ratio, etc. on the critical buckling coefficient (CBC) are analyzed. Numerical results reveal that the material gradation, crack-length, thickness, length ratios, etc. have a strong effect on the behavior of CBC. This phenomenon is mainly attributed to the plate stiffness degradation due to the presence of local defects and material composition. Also, the boundary conditions greatly alter the CBC whereas the inclination of cracked angle is found to be insignificant.