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REVIEW ARTICLES

New Mixed Finite Element Formulations for Transient and Steady State Creep Problems

[+] Author and Article Information
Abimael F. D. Loula, João Nisan C. Guerreiro

Laboratório Nacional de Computação Científica—LNCC/CNPq, Rua Lauro Muller 455, 22290-Rio de Janeiro, Brazil

Appl. Mech. Rev 42(11S), S150-S156 (Nov 01, 1989) doi:10.1115/1.3152385 History: Online June 03, 2009

Abstract

We apply the mixed Petrov–Galerkin formulation to construct finite element approximations for transient and steady-state creep problems. With the new approach we recover stability, convergence, and accuracy of some Galerkin unstable approximations. We also present the main results on the numerical analysis and error estimates of the proposed finite element approximation for the steady problem, and discuss the asymptotic behavior of the continuum and discrete transient problems.

Copyright © 1989 by The American Society of Mechanical Engineers
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