In these works the results of experimental studies, analytical solutions and the FEM simulations in the framework of the theory of large deformation theory can be found, cf. e.g.. Here the effective solutions of boundary value problems are obtained with application of finite element method (FEM) and ABQAQUS software. It is worth noting that reasonable modeling of rod stretching experiment in frame of the small deformation theory is not possible. The main goal of this study is to compare the FEM solutions obtained for two different large deformation theories for elastic-plastic materials, i.e. the theoretical formulation proposed in and the theory implemented in ABAQUS/Standard.APPLICATION OF THE THEORY OF HYPERELASTIC-PLASTIC MATERIALS IN THE TEST OF STATIC STRETCHING OF THE ROD WITH CIRCULAR CROSS-SECTION
The issue of necking in stretched elements is widely discussed in the literature on the theory of plasticity. These works contain the results of experimental studies, analytical solutions, and FEM simulations, cf. e.g. [6]. In this paper, the finite element method (FEM) and the ABAQUS software are effectively used to solve the boundary value problem. It is worth emphasizing at the outset that rational modeling of this experiment within the framework of the theory of small-deformation elastoplasticity is not possible. The aim of this work is to compare the FEM solutions for the rod stretching task using two different theories of elastoplasticity for large deformations, i.e., the theoretical formulation proposed in [5] and the theory programmed in the ABAQUS/Standard system [1].
1. INTRODUCTION
The issue of necking in the stretched elements is widely debated in the literature, see eg
[4], [5]. In these works the results of experimental studies, analytical solutions and the FEM simulations in the framework of the theory of large deformation theory can be found. (…)
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Source: Logistyka Magazine