Eventos Anais de eventos
COBEM 2021
26th International Congress of Mechanical Engineering
Continuum Strong Discontinuity Approach in the context of Boundary Element Method for structural analysis of three-dimensional brittle solids
Submission Author:
Alisson Pinto Chaves , MG
Co-Authors:
Alisson Pinto Chaves, Rodrigo Peixoto, Ramon Silva
Presenter: Alisson Pinto Chaves
doi://10.26678/ABCM.COBEM2021.COB2021-1760
Abstract
Since its introduction, the Continuum Strong Discontinuity Approach (CSDA) has been widely used with the Finite Element Method (FEM), and its efficiency and accuracy is demonstrated in a series of works. In this approach, a set of kinematic equations (regularized formulation) is used to describe displacements and strains at a discontinuity surface. It uses a intrinsic softening parameter, as a re-interpretation of softening modulus from continuum constitutive model. The jump displacement components are evaluated with additional equations, obtained by the assumption of continuity condition of the traction vector on the discontinuity surface. Thus, applying this regularized kinematic on ordinary continuous constitutive models, the consistent discrete model obtained can relate traction with displacement jumps where the discontinuity is established. This work presents some first steps in the use of the Implicit Boundary Element Method (BEM) associated with the CSDA for the modeling of crack growth in physically non-linear three-dimensional problems of solid mechanics. This non-geometrical approach has been successfully used in the analysis of plane problems. An isotropic damage constitutive model is used to represent damage dissipation in finite regions of a solid domain, over the discontinuity surface. In this work, the strong discontinuity regime is imposed directly after the end of the elastic regime with the discontinuity plane defined as perpendicular to the maximum principal stress. Quadrilateral isotropic boundary elements are used together with hexahedral constant cells with embedded discontinuity. Only the region of the domain where the crack surface is supposed to be located need to be discretized, while the remaining non-discretized regions are considered to work in elastic regime. The implementations were performed on the collaborative open source system INSANE. A numerical example illustrates the performance of the approach and particularities.
Keywords
Continuum strong discontinuous approach, implicit boundary element method, three-dimensional modeling, non-linear analysis.
