PENALTY METHOD FOR AN UNILATERAL CONTACT PROBLEM WITH COULOMB'S FRICTION FOR LOCKING MATERIALS

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BOURICHI S.; ESSOU EL.H.

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Paper Information

Journal: INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION Year:2016 | Volume:6 | Issue:1 Page(s): 61-81

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Title

PENALTY METHOD FOR AN UNILATERAL CONTACT PROBLEM WITH COULOMB'S FRICTION FOR LOCKING MATERIALS

Author(s)

BOURICHI S. | ESSOU EL.H. | Issue Writer Certificate

Keywords

LOCKING MATERIAL

UNILATERAL CONTACT

COULOMB'S FRICTION

VARIATIONAL INEQUALITY

PENALTY METHOD

FINITE ELEMENT

Abstract

In this work, we study a UNILATERAL CONTACT problem with non local friction of Coulomb between a LOCKING MATERIAL and a rigid foundation. In the first step, we present the mathematical model for a static process, we establish the variational formulation in the form of a VARIATIONAL INEQUALITY and we prove the existence and uniqueness of the solution. In the second step, using the PENALTY METHOD we introduce the penalty numerical problem in the form of variational equality where we replace the law behavior and the law contact of Signorini. Then we show the convergence of the continuous penalty solution as the penalty parameter tends to infinity. Then, the analysis of the FINITE ELEMENT discretized PENALTY METHOD is carried out.

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References

A NEW APPROACH TO SOLVE DIFFERENTIAL EQUATIONS ARISING IN FLUID MECHANICS

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APA: Copy

BOURICHI, S., & ESSOU, EL.H.. (2016). PENALTY METHOD FOR AN UNILATERAL CONTACT PROBLEM WITH COULOMB'S FRICTION FOR LOCKING MATERIALS. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, 6(1), 61-81. SID. https://sid.ir/paper/328338/en

Vancouver: Copy

BOURICHI S., ESSOU EL.H.. PENALTY METHOD FOR AN UNILATERAL CONTACT PROBLEM WITH COULOMB'S FRICTION FOR LOCKING MATERIALS. INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION[Internet]. 2016;6(1):61-81. Available from: https://sid.ir/paper/328338/en

IEEE: Copy

S. BOURICHI, and EL.H. ESSOU, “PENALTY METHOD FOR AN UNILATERAL CONTACT PROBLEM WITH COULOMB'S FRICTION FOR LOCKING MATERIALS,” INTERNATIONAL JOURNAL OF MATHEMATICAL MODELLING & COMPUTATION, vol. 6, no. 1, pp. 61–81, 2016, [Online]. Available: https://sid.ir/paper/328338/en

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