We present an elastic damage constitutive model for polymeric foam based on thermodynamics framework to consider the effects of anisotropy and the growth and coalescence of cavities. The evolution equation of the proposed model describes the material behavior sustaining anisotropic and unilateral damage. To carry out finite element analysis, the material properties for various polymeric foams are applied to the proposed damage model; we thus implement the proposed damage model in the commercial finite element program as a user-defined material subroutine. In order to validate the proposed anisotropic damage model, the numerical results are compared to the results of a series of tensile and compressive tests on various polymeric foams. Additionally, we propose the failure criterion for this damage model as based on the mass-dependent energy per unit mass at failure. The developed damage model can be used for further research on damage mechanics and finite element analysis of polymeric foams in continuum mechanics.

我们提出了一种基于热力学框架的聚合物泡沫弹性损伤本构模型，以考虑各向异性的影响以及空腔的生长和聚结。该模型的演化方程描述了维持各向异性和单边破坏的材料行为。为了进行有限元分析，将各种聚合物泡沫的材料特性应用于建议的损伤模型。因此，我们在商业有限元程序中将提出的损伤模型作为用户定义的材料子例程来实现。为了验证提出的各向异性损伤模型，将数值结果与对各种聚合物泡沫进行的一系列拉伸和压缩测试的结果进行了比较。另外，我们基于破坏时每单位质量的质量相关能量，提出了该破坏模型的破坏准则。所建立的损伤模型可用于损伤力学和连续泡沫力学中聚合物泡沫的有限元分析。