ANALYSIS OF A RIGID-PLASTIC ROLLING PROBLEM WITH SLIGHTLY COMPRESSIBLE MATERIAL MODEL-Reference-Cited by-同舟云学术

ANALYSIS OF A RIGID-PLASTIC ROLLING PROBLEM WITH SLIGHTLY COMPRESSIBLE MATERIAL MODEL

Published:2006-06 Issue:02 Volume:03 Page:245-262
ISSN:0219-8762
Container-title:International Journal of Computational Methods
language:en
Short-container-title:Int. J. Comput. Methods

Author:

ANGELOV T. A.¹

Affiliation:

1. Institute of Mechanics, Bulgarian Academy of Sciences, "Acad.G.Bonchev" Street, Block 4, 1113 Sofia, Bulgaria

Abstract

A steady-state rolling problem with rigid-plastic, strain-rate sensitive, slightly compressible material model and nonlinear Coulomb friction law is considered. For the corresponding variational problem, existence, uniqueness and convergence results, at compressibility parameter approaching zero, are obtained. A regularized variational problem is stated and studied and its finite element approximation is analyzed. Two computational algorithms are proposed and applied to solve an illustrative example.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Mathematics,Computer Science (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219876206000795

Reference11 articles.

1. A secant-modulus method for a rigid-plastic rolling problem

2. Existence and uniqueness of the solution of a rigid-plastic rolling problem

3. Numerical Methods for Nonlinear Variational Problems

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2. ANALYSIS OF A CLASS RIGID-PLASTIC ROLLING PROBLEMS BY A MODIFIED SECANT-MODULUS METHODS;International Journal of Applied Mechanics;2012-03

3. SOLVABILITY OF A QUASI-STEADY ROLLING PROBLEM WITH SLIGHTLY COMPRESSIBLE MATERIAL MODEL;International Journal of Computational Methods;2007-06