Hashin准则的应力应变形式在复合材料渐进损伤计算中的对比

Hashin准则在复合材料渐进损伤分析中得到广泛应用,它的原始形式用应力表达,而在渐进损伤实际计算中用到了应变形式。推导了这两种形式下渐进损伤计算中需要的复合材料非线性本构关系及对应的切线刚度矩阵,对比分析了它们之间的不等价性。将这两种Hashin准则形式与不同损伤演化模型相结合,应用于开孔板的渐进损伤数值模拟,并与试验数据相对比。将Linde损伤演化模型分别与Hashin准则变形式和应力形式组合,前者的计算结果与试验值符合更好;将Sleight损伤演化模型与Hashin准则应力形式相结合,选取不同的衰减控制参数进行数值模拟,控制参数取0.8时比取其他值与试验结果符合更好。理论推导和数值模拟结果对复合材料渐进损伤实际应用中合理选取损伤准则形式和损伤演化模型有指导意义。

Comparison between the Stress Form and Strain Form of Hashin Criteria in Progressive Failure Analysis of Composite Materials

Hashin criteria in strain form is widely used in progressive failure computation of composite materials, while it is originally presented in stress form. The nonlinear constitutive equations and the corresponding tangent stiffness matrices under these two forms are derived, the inequality between the two forms is analyzed. Linde damage evolution law is combined with Hashin criteria strain form and stress form respectively to perform progressive failure analyses of a notched composite laminate, the results show that the strain form data is more consistent with the experiment data. Furthermore, Sleight damage evolution law is combined with Hashin criteria stress form to perform progressive failure analyses using different parameters in Sleight damage evolution law. The results show that 0.8 is a good choice. The theoretical derivation and numerical simulation results are helpful for choosing a proper combination of failure criteria form and damage evolution law in progressive failure computation of composite materials.