An object-oriented approach to dual reciprocity boundary element method applied to 2D elastoplastic problems

Abstract

Purpose

The purpose of this paper is to describe further developments on a novel formulation of the boundary element method (BEM) for inelastic problems using the dual reciprocity method (DRM) but using object-oriented programming (OOP). As the BEM formulation generates a domain integral due to the inelastic stresses, the DRM is employed in a modified form using polyharmonic spline approximating functions with polynomial augmentation. These approximating functions produced accurate results in BEM applications for a range of problems tested, and have been shown to converge linearly as the order of the function increases.

Design/methodology/approach

A programming class named DRMOOP, written in C++ language and based on OOP, was developed in this research. With such programming, general matrix equations can be easily established and applied to different inelastic problems. A vector that accounts for the influence of the inelastic strains on the displacements and boundary forces is obtained.

Findings

The C++ DRMOOP class has been implemented and tested with the BEM formulation applied to classical elastoplastic problem and the results are reported at the end of the paper.

Originality/value

An object-oriented technology and the C++ DRMOOP class applied to elastoplastic problems.

Citation

Gomes, G., Delgado Neto, A.M., Bezerra, L.M. and Silva, R. (2019), "An object-oriented approach to dual reciprocity boundary element method applied to 2D elastoplastic problems", Multidiscipline Modeling in Materials and Structures, Vol. 15 No. 5, pp. 958-974. https://doi.org/10.1108/MMMS-05-2018-0095