复合材料层合板结构冲击损伤数值模拟的损伤力学模型

针对复合材料结构低速冲击损伤问题，基于连续损伤力学提出了一种动力学冲击条件下的三维损伤数值模型。模型中区分了层内损伤（纤维拉伸与压缩失效、纤维间拉伸与压缩失效）和层间分层损伤不同的失效模式。采用三维Puck失效准则与考虑压缩抑制效应的Aymerich准则对上述两类损伤进行判定，材料失效后基于连续损伤力学中线性软化模型对材料损伤进行演化。模型中考虑了复合材料层合板结构中子层的就位效应和损伤分析中的“连锁效应”。通过对Shi的冲击试验进行数值模拟，模型预测的冲击接触载荷、分层形状和尺寸与试验结果吻合较好，证明了所提出的数值模型对复合材料层合板结构低速冲击损伤预测的有效性。

Damage mechanics model for simulating impact responses of composite laminated structures

Based on continuum damage mechanics, a three-dimensional damage mechanics model was proposed to simulate low-velocity impact responses of composite laminated structures under the condition of dynamic. This model is capable to predict several possible in-plane failure modes (e.g., fibre tensile failure, fiber compressive failure, inter fiber tensile failure and inter fiber compressive failure) and interlaminar failure modes. Three-dimensional Puck failure criterion was used to conduct in-plane failure determination, and Aymerich failure criterion was used to conduct delamination failure determination. After damage initiation, linear-softening model was used to describe material properties' evolution process. In addition, the lamina's in-situ effect and structures' chain destruction were also taken into consideration. By using this model, a numerical example was finished. The final result shows that the predicted impact load, delamination shape and size have a relatively good agreement with Shi's experimental data. Therefore, the rationality and effectiveness of the developed numerical model for predicting low-velocity impact responses of composite laminated structures are shown.