Co-rotational Formulation for Bonded Joint Finite Elements
Co-rotational Formulation for Bonded Joint Finite Elements
复制标题
粘结有限元的同向旋转公式
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
B. Bednarcyk
中科院分区：
文献类型：
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作者：
S. Stapleton;A. Waas;S. Arnold;B. Bednarcyk
增强型有限元是具有嵌入式分析解决方案的元素，可以捕获详细的局部场，从而实现更有效的网格独立有限元分析。在早期的研究中，这种方法被应用于粘接接头。被粘物被建模为复合材料Euler-Bernoulli梁，而粘合层被建模为线性剪切和正常弹簧床。采用最小势能原理推导了场方程，并将得到的位移场解用于生成单个胶接接头有限元的形函数和刚度矩阵。在这项研究中，开发了模拟大旋转和非线性粘合剂本构行为的能力，并通过重新划分接头网格来模拟粘合剂的渐进失效。使用这种增强的关节元素所获得的结果与实验结果进行了比较。
Enhanced finite elements are elements with an embedded analytical solution that can capture detailed local fields, enabling more efficient mesh independent finite element analysis. In earlier research, this method was applied to adhesively bonded joints. The adherends were modeled as composite Euler-Bernoulli beams, and the adhesive layer was modeled as a bed of linear shear and normal springs. The field equations were derived using the principle of minimum potential energy, and the resulting solutions for the displacement fields were used to generate shape functions and a stiffness matrix for a single bonded joint finite element. In this study, the capability to model large rotations and non-linear adhesive constitutive behavior is developed, and progressive failure of the adhesive is modeled by remeshing the joint as the adhesive fails. The results obtained using this enhanced joint element is compared with experimental results.