ON the performance of isogeometric analysis for elasto-plastic plane stress problems

Abstract

Limitation of resources and interest in having economical designs lead to consider nonlinear behavior of materials in analysis and design of structures. During the last decade, the isogeometric analysis (IGA) is proposed and applied to achieve nonlinear analysis of various types of structures. Exact modeling of geometry and high accuracy in approximating unknown displacement field are amongst the advantages of this method. In this research, beside developing isogeometric elasto-plastic analysis formulation by considering von Mises criterion, a comparative study is achieved to investigate effects of using different modeling parameters such as number of control points and different knot spans. A convergence study is also achieved by increasing the number of discretizing control points throughout the domain. In addition, effect of strain hardening parameter is investigated when the isogeometric analysis is used. To demonstrate the accuracy of the method, the results are compared with analytical solutions as well as the finite element method (FEM). To achieve this, several numerical examples are presented.