Year: 2010
Author: T. A. Angelov
Advances in Applied Mathematics and Mechanics, Vol. 2 (2010), Iss. 6 : pp. 722–745
Abstract
A class of steady-state metal-forming problems, with rigid-plastic, incompressible, strain-rate dependent material model and nonlocal Coulomb's friction, is considered. Primal, mixed and penalty variational formulations, containing variational inequalities with nonlinear and nondifferentiable terms, are derived and studied. Existence, uniqueness and convergence results are obtained and shortly presented. A priori finite element error estimates are derived and an algorithm, combining the finite element and secant-modulus methods, is utilized to solve an illustrative extrusion problem.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.09-m0975
Advances in Applied Mathematics and Mechanics, Vol. 2 (2010), Iss. 6 : pp. 722–745
Published online: 2010-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
Author Details
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Modelling and numerical approach to a class of metal-forming problems-Quasi-steady case
Angelov, T. A.
Mathematical Methods in the Applied Sciences, Vol. 34 (2011), Iss. 11 P.1330
https://doi.org/10.1002/mma.1441 [Citations: 1] -
Metal-forming problems with combined hardening
Angelov, T. A.
Applied Mathematics and Mechanics, Vol. 33 (2012), Iss. 2 P.233
https://doi.org/10.1007/s10483-012-1546-8 [Citations: 0]