复合材料脱层分析的粘性单元稳定化有限元法
A stabilized finite element method for delamination analysis of composites using cohesive elements
摘要：
我们证明了一个稳定的有限元法的能力，启发加权Nitsche方法，以减轻虚假的牵引振荡层间界面在多层多向复合材料层压板。与标准（惩罚）的方法相比，稳定的方法允许使用任意大的值的内聚刚度，并避免了需要工程方法来估计最小的内聚刚度所需的精确分层分析。这是通过在稳定方法中定义加权界面牵引力来实现的，该方法允许从用于软弹性接触的类似惩罚的方法逐渐过渡到用于刚性接触的类似Nitsch的方法。我们进行了几个模拟研究，包括恒应变贴片试验和基准分层试验下的模式，模式，II和混合模式加载。我们的研究结果表明，明确的证据与标准方法的牵引振荡与结构化和扰动有限元网格，稳定的方法来消除这些振荡，从而说明其鲁棒性。
英文摘要：
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.
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