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Volume 2, Issue 6
Modelling and Analysis of a Class of Metal-Forming Problems

T. A. Angelov

Adv. Appl. Math. Mech., 2 (2010), pp. 722-745.

Published online: 2010-02

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  • 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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@Article{AAMM-2-722, author = {T. A. and Angelov and and 20423 and and T. A. Angelov}, title = {Modelling and Analysis of a Class of Metal-Forming Problems}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2010}, volume = {2}, number = {6}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.09-m0975}, url = {http://global-sci.org/intro/article_detail/aamm/8357.html} }
TY - JOUR T1 - Modelling and Analysis of a Class of Metal-Forming Problems AU - Angelov , T. A. JO - Advances in Applied Mathematics and Mechanics VL - 6 SP - 722 EP - 745 PY - 2010 DA - 2010/02 SN - 2 DO - http://doi.org/10.4208/aamm.09-m0975 UR - https://global-sci.org/intro/article_detail/aamm/8357.html KW - AB -

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.

T. A. Angelov. (1970). Modelling and Analysis of a Class of Metal-Forming Problems. Advances in Applied Mathematics and Mechanics. 2 (6). 722-745. doi:10.4208/aamm.09-m0975
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