Decomposition methods for adherence problems in finite elasticity

DOI10.1016/0045-7825(88)90107-7zbMath0626.73028OpenAlexW1996845317MaRDI QIDQ581046

Jianyong Qiao, Sumit K. Garg

Publication date: 1988

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: http://purl.umn.edu/4573

zbMATH Keywords

decompositionaugmented Lagrangian approachoperator splittingiterative techniqueUzawa algorithmincompressibilityimplicit time discretizationaugmented Lagrangiansaddle-point problemunilateral contactlinear elasticity problemfriction forcesframe-indifferenceadhesion problemfixed stiffness matrixhomogeneous local finite elasticityincompressible elastic bodieslocal adhesion problemsnonlinear constrained problemssuccessive solutionthree- dimensional finite elasticity

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Nonlinear elasticity (74B20) Contact in solid mechanics (74M15) Theories of friction (tribology) (74A55)

Related Items (2)

Unnamed Item ⋮ Damage theory applied to the analysis of composite materials subjected to a loss of adherence between its constituents

Cites Work

• Duality methods for solving variational inequalities
• A class of asymmetric simplicial finite element methods for solving finite incompressible elasticity problems
• Multiplier and gradient methods
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• Splitting Algorithms for the Sum of Two Nonlinear Operators
• Numerical Solution of Problems in Incompressible Finite Elasticity by Augmented Lagrangian Methods. I. Two-Dimensional and Axisymmetric Problems
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