ABSTRACT

The mechanical behavior of rubbers is described by the model schematically represented in Fig. 1, where each point corresponds to a particular set of constitutive equations. The scheme shows how the tensor nonlinear equations are combined into the system of equations describing the complex viscoelastic behavior of an arbitrarily deformed medium. The algorithm that constructs constitutive equations from separate groups of equations (elastic, viscous, plastic, transmission) is described in detail in this work. The present model uses the approach that is based on the additive decomposition of the strain rate tensor of the medium into the strain rate tensors of the scheme elements. The internal scheme points are required to meet the

condition of correlation of Cauchy stress tensors. The scheme for the mechanical behavior of the material has transmission, elastic, viscous and plastic elements, which correspond to the following equations given below.