scholarly journals Analysis of an evolutionary variational inequality arising in elasticity quasi-static contact problems

2019 ◽  
Author(s):  
Nicolae Pop
Keyword(s):  
Variational Inequality ◽  
Contact Problems ◽  
Evolutionary Variational Inequality ◽  
Static Contact

The Variational Inequality Method on Contact Problems and Its Application Software

1983 ◽  
pp. 387-400
Author(s):  
Cui Jun-Zhi ◽  
Li Guo-Ren ◽  
Li Guang-Zhong ◽  
Liang Fu-Gang ◽  
Haung Yu-Xia ◽  
...  
Keyword(s):  
Variational Inequality ◽  
Contact Problems ◽  
Application Software

The Mixed Fast Multipole Boundary Element Method for Solving Strip Cold Rolling Process

2010 ◽  
Vol 20-23 ◽  
pp. 76-81 ◽  
Author(s):  
Hai Lian Gui ◽  
Qing Xue Huang
Keyword(s):  
Variational Inequality ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Large Scale ◽  
Mixed Boundary ◽  
Contact Problems ◽  
Boundary Integral ◽  
Fast Multipole ◽  
Mixed Variational Inequality ◽  
Element Method

Based on fast multipole boundary element method (FM-BEM) and mixed variational inequality, a new numerical method named mixed fast multipole boundary element method (MFM-BEM) was presented in this paper for solving three-dimensional elastic-plastic contact problems. Mixed boundary integral equation (MBIE) was the foundation of MFM-BEM and obtained by mixed variational inequality. In order to adapt the requirement of fast multipole method (FMM), Taylor series expansion was used in discrete MBIE. In MFM-BEM the calculation time was significant decreased, the calculation accuracy and continuity was also improved. These merits of MFM-BEM were demonstrated in numerical examples. MFM-BEM has broad application prospects and will take an important role in solving large-scale engineering problems.

scholarly journals Contact problems with friction for hemitropic solids: boundary variational inequality approach

2011 ◽  
Vol 90 (2) ◽  
pp. 279-303 ◽  
Author(s):  
A. Gachechiladze ◽  
R. Gachechiladze ◽  
J. Gwinner ◽  
D. Natroshvili
Keyword(s):  
Variational Inequality ◽  
Contact Problems

STATIC CONTACT PROBLEMS—A REVIEW

1992 ◽  
Vol 9 (1) ◽  
pp. 3-37 ◽  
Author(s):  
ZHI‐HUA ZHONG ◽  
JAROSLAV MACKERLE
Keyword(s):  
Contact Problems ◽  
Static Contact

scholarly journals Advanced results on variational inequality formulation in oligopolistic market equilibrium problem

Filomat ◽  
2012 ◽  
Vol 26 (5) ◽  
pp. 935-947 ◽  
Author(s):  
Annamaria Barbagallo
Keyword(s):  
Variational Inequality ◽  
Equilibrium Problem ◽  
Lipschitz Continuity ◽  
Dynamic Equilibrium ◽  
Market Equilibrium ◽  
Equilibrium Solutions ◽  
Evolutionary Variational Inequality ◽  
Oligopolistic Market ◽  
Continuity Result ◽  
Discretization Procedure

The aim of the paper is to study the regularity of the solution to the evolutionary variational inequality governing the dynamic oligopolistic market equilibrium problem in presence of production excesses. More precisely, we obtain a Lipschitz continuity result with respect to time for such a solution. Moreover, we introduce a discretization procedure for computing dynamic equilibrium solutions and we provide a numerical example.

Optimal control of static contact in finite strain elasticity

2020 ◽  
Vol 26 ◽  
pp. 95
Author(s):  
Anton Schiela ◽  
Matthias Stoecklein
Keyword(s):  
Optimal Control ◽  
Finite Strain ◽  
Path Following ◽  
Contact Problems ◽  
Finite Deformations ◽  
Elastic Contact ◽  
Optimal Solutions ◽  
Existence Of Optimal Solutions ◽  
Static Contact ◽  
Convergence Of Sequences

We consider the optimal control of elastic contact problems in the regime of finite deformations. We derive a result on existence of optimal solutions and propose a regularization of the contact constraints by a penalty formulation. Subsequential convergence of sequences of solutions of the regularized problem to original solutions is studied. Based on these results, a numerical path-following scheme is constructed and its performance is tested.

Sign in / Sign up

Export Citation Format

Share Document