论文标题
使用内聚元素对复合材料进行分层分析的稳定有限元方法
A stabilized finite element method for delamination analysis of composites using cohesive elements
论文作者
论文摘要
我们证明了受加权Nitsche方法启发的稳定有限元方法的能力，可以减轻多层多方向复合层层层层层间层间接口的虚假牵引振荡。与标准（类似惩罚）方法相反，稳定的方法允许使用任意的凝聚力刚度值，并消除了工程方法的需求，以估计准确分层分析所需的最小内粘性刚度。这是通过在稳定方法中定义加权界面牵引力来实现的，该方法允许从类似惩罚的方法逐渐过渡到软弹性接触到类似Nitsche的方法以进行刚性接触。我们进行了几项模拟研究，涉及模式I，模式II和混合模式载荷下的恒定应变测试和基准分层测试。我们的结果表明，具有结构性和扰动有限元网格的标准方法的牵引振荡的明确证据，并且稳定方法减轻了这些振荡，从而说明了其稳健性。
We demonstrate the ability of a stabilized finite element method, inspired by the weighted Nitsche approach, to alleviate spurious traction oscillations at interlaminar interfaces in multi-ply multi-directional composite laminates. In contrast with the standard (penalty-like) method, the stabilized method allows the use of arbitrarily large values of cohesive stiffness and obviates the need for engineering approaches to estimate minimum cohesive stiffness necessary for accurate delamination analysis. This is achieved by defining a weighted interface traction in the stabilized method, which allows a gradual transition from penalty-like method for soft elastic contact to Nitsche-like method for rigid contact. We conducted several simulation studies involving constant strain patch tests and benchmark delamination tests under mode-I, mode-II and mixed-mode loadings. Our results show clear evidence of traction oscillations with the standard method with structured and perturbed finite element meshes, and that the stabilized method alleviates these oscillations, thus illustrating its robustness.
