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Numerical Analysis Applied to Nonlinear Problems

Published online by Cambridge University Press:  01 October 2015

E. Pineda León ,
A. Rodríguez-Castellanos  and
M.H. Aliabadi
E. Pineda León
Affiliation:
Escuela Superior de Ingeniería y Arquitectura, Instituto Politécnico Nacional, Unidad Profesional Adolfo López Mateos s/n, México D.F.
A. Rodríguez-Castellanos
Affiliation:
Instituto Mexicano del Petróleo, Eje Central Lázaro Cárdenas 152, Gustavo A Madero, México D.F.
M.H. Aliabadi
Affiliation:
Department of Aeronautical Engineering, Imperial College London, South Kensington campus, London SW72AZ
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Abstract

The present paper shows the applicability of the Dual Boundary Element Method to analyze plastic, visco-plastic and creep behavior in fracture mechanics problems. Several models with a crack, including a square plate, a holed plate and a notched plate are analyzed. Special attention is taken when the discretization of the domain is done. 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 this kind of non-linear 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 such as KI, KII, J- and C- integrals are also included. In general, the results, for the plastic, visco-plastic and creep cases, show 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.

Keywords

Non-linear analysisboundary element methodfracture mechanics

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Type
Articles
Information
MRS Online Proceedings Library (OPL) , Volume 1765: Symposium 4A – Advanced Structural Materials—2014 , 2015 , pp. 51 - 57
Copyright
Copyright © Materials Research Society 2015 

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