Study of generalized Prandtl rheological model for constitutive description of elastoplastic properties of materials

Purpose: of this paper is to demonstrate the process of constitutive modelling of elastoplastic properties of materials using generalized Prandtl rheological model. A special attention is put on description of composites. Design/methodology/approach: Based on the proposed rheological model, the set of constitutive relationships is formulated. Identification of parameters of rheological model is carried out based on experimental hysteretic loops. The constitutive equations are used in the paper for computer simulation of experimental tests. Findings: It is proved in the paper that the obtained constitutive relationships can describe the phenomenon of plastic anisotropy. An illustrating example is demonstrated for fiber glass-reinforced polymer-matrix composite. The comparison between experimental results and computer simulations shows the validity of the model. Research limitations/implications: The computer simulations concentrate on one-dimensional problem. It is suggested for future investigations to implement three-dimensional constitutive model. Such an implementation may be conducted within FEM codes ABAQUS or ANSYS. Practical implications: Using the method of constitutive modelling of elastoplastic properties of materials it is possible to carry out computer simulations solving non-linear differential equations for any type of loadings both static and dynamic. Originality/value: The original value of the paper is the proposed procedure of identification of material model exhibiting plastic anisotropy based on generalized Prandtl rheological scheme. As the result, the system of constitutive relationships has explicit differential form, easy for numerical implementations.