The aim of the article is mathematical modeling of behavior of hyper viscoelastic particulate reinforced composite materials. Three dimensional hyper viscoelastic constitutive equations, which include an inherent damage parameter and its functions, have been developed. The model was used to demonstrate physical phenomenon such as the so called dewetting effect. New strain rate, damage rate and stress state sensitive dewetting criterion is proposed. At the same time dewetting criterion is the first order ordinary differential equation with respect to damage parameter and serves as its evolution law. The softening of the material due to dewetting during the loading is considered by means of the strain energy density function augmented by the damage parameter and its functions. The proposed material model simulates volumetric strains caused by the hydrostatic pressure, as well as the dilatation caused by the deviatoric part of the stress, namely deviatoric-bulk coupling is considered. The material model proposed in the framework of this work takes into account the behavior of particulate reinforced hyper viscoelastic composite materials such as strong nonlinearity, dewetting, complex coupling of the deviatoric bulk behavior. Mullins effect and temperature dependence have not been covered by this research. The proposed material model has been implemented into Finite Element package MSC.Marc by means of FORTRAN user subroutines ”elevar” and ”uelastomer” and it has been shown good correlation with test results.

本文的目的是对超粘弹性颗粒增强复合材料的行为进行数学建模。已经开发了包含固有损伤参数及其函数的三维超粘弹性本构方程。该模型用于演示物理现象，例如所谓的去湿效应。提出了新的应变率、损伤率和应力状态敏感的去湿准则。同时去湿准则是关于损伤参数的一阶常微分方程，作为其演化规律。由于加载过程中的去湿，材料的软化是通过损伤参数及其函数增强的应变能密度函数来考虑的。所提出的材料模型模拟由静水压力引起的体积应变，以及由应力偏部分引起的膨胀，即考虑偏散耦合。在这项工作的框架中提出的材料模型考虑了颗粒增强超粘弹性复合材料的行为，如强非线性、去湿、偏散体行为的复杂耦合。本研究未涵盖穆林斯效应和温度依赖性。所提出的材料模型已通过 FORTRAN 用户子程序“elevar”和“uelastomer”实现到有限元包 MSC.Marc 中，并显示出与测试结果良好的相关性。即考虑偏散耦合。在这项工作的框架中提出的材料模型考虑了颗粒增强超粘弹性复合材料的行为，如强非线性、去湿、偏散体行为的复杂耦合。本研究未涵盖穆林斯效应和温度依赖性。所提出的材料模型已通过 FORTRAN 用户子程序“elevar”和“uelastomer”实现到有限元包 MSC.Marc 中，并显示出与测试结果良好的相关性。即考虑偏散耦合。在这项工作的框架中提出的材料模型考虑了颗粒增强超粘弹性复合材料的行为，如强非线性、去湿、偏散体行为的复杂耦合。本研究未涵盖穆林斯效应和温度依赖性。所提出的材料模型已通过 FORTRAN 用户子程序“elevar”和“uelastomer”实现到有限元包 MSC.Marc 中，并显示出与测试结果良好的相关性。本研究未涵盖穆林斯效应和温度依赖性。所提出的材料模型已通过 FORTRAN 用户子程序“elevar”和“uelastomer”实现到有限元包 MSC.Marc 中，并显示出与测试结果良好的相关性。本研究未涵盖穆林斯效应和温度依赖性。所提出的材料模型已通过 FORTRAN 用户子程序“elevar”和“uelastomer”实现到有限元包 MSC.Marc 中，并显示出与测试结果良好的相关性。