This paper is devoted to numerical simulation of elasto-plastic large deformation in three-dimensional (3-D) solids using isogeometric analysis (IGA) based on Bézier extraction of NURBS (non-uniform rational B-splines), due to some inherently desirable features. The Bézier extraction operation decomposes the NURBS basis functions into a set of linear combination of Bernstein polynomials, and a set of C 0-continuity Bézier elements are thus obtained. The data structure is thus similar to traditional finite element method (FEM). Consequently, the IGA based on Bézier extraction of NURBS can be embedded in existing FEM codes, and more importantly, as have been shown in literature that higher accuracy over traditional FEM can be gained. The main features distinguish between the IGA and FEM are the exact geometry description with fewer control points, high-order continuity, high accuracy, especially the NURBS basis functions are capable of describing both geometry and solution fields where the FEM does not. The present kinematic is based on the Total Lagrange description due to the elasto-plastic large deformation with deformation history. The results for the distributions of displacements, von Mises stress, yielded zones, and force-displacement curves are computed and analyzed. For convenience in verification of numerical results, the same numerical examples have additionally been computed with the FEM using ABAQUS. It is found that most numerical results obtained by the developed IGA are acceptable and in good agreement with FEM solutions.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.