Plastic, viscoplastic and creep fracture problems with the boundary element method

Abstract

The present paper shows the applicability of the dual boundary element method to analyse plastic, viscoplastic and creep behaviours in fracture mechanics problems. Several models with a crack, including a square plate, a holed plate and a notched plate, are analysed. Special attention is taken when the discretization of the domain is performed. In fact, for the plasticity and viscoplasticity cases, only the region susceptible to yielding was discretized, whereas the creep case required the discretization of the whole domain. The proposed formulation is presented as an alternative technique to study these kinds of nonlinear problems. Results from the present formulation are compared to those of the well‐established finite element technique, and they are in good agreement. Important fracture mechanic parameters like KI, KII, J‐integrals and C‐integrals are also included. In general, the results, for the plastic, viscoplastic and creep cases, exhibit that the highest stress concentrations are in the vicinity of the crack tip and they decrease as the distance from the crack tip is increased.

Multiphysics Modeling and Numerical Simulation in Computer-Aided Manufacturing Processes

“…BEM is oriented for linear problems in that many linear partial differential operators can be transformed into equivalent integral forms through the use of appropriate Green's functions [108]. The BEM was carried forward to include problems with material nonlinearities, such as viscoplasticity [109] and plasticity [110,111]. Recently, the BEM has been applied to analyze the stress and deformation fields in complicated metal forming problems, including both geometrical and material nonlinearities, as well as frictional interface conditions [112].…”

Contribuições às análises de fratura e fadiga de componentes tridimensionais pelo Método dos Elementos de Contorno Dual

“…No caso de problemas bidimensionais e fratura, Portela et al (1993), Saleh e Aliabadi (1995), Sollero e Aliabadi (1995) e Aliabadi e Saleh (2002) utilizaram o MEC dual para análises envolvendo a propagação de fissuras em modo misto, a análise de fratura quase-frágil no concreto e a avaliação de FIT em compósitos laminados anisotrópicos. Pineda-León et al (2015) desenvolveram formulações baseadas no MEC dual também para a análise de problemas de fratura elastoplástica, viscoplástica e fratura por fluência. Mi & Aliabadi (1992) estenderam a formulação MEC dual para tratar problemas tridimensionais de fratura.…”