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Study of variational inequality and equality formulations for elastostatic frictional contact problems

https://doi.org/10.1007/bf02736213
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/(sici)1097-0207(19960115)39:1<165::aid-nme846>3.0.co;2-yopenalex-snapshot
A FRICTIONAL CONTACT ELEMENT FOR STRONGLY CURVED CONTACT PROBLEMS
inferredcites →https://doi.org/10.1002/(sici)1097-0207(19981130)43:6<1053::aid-nme460>3.0.co;2-lopenalex-snapshot
A new strategy for the solution of frictional contact problems
inferredcites →https://doi.org/10.1002/cnm.1640091005openalex-snapshot
Application of augmented Lagrangian techniques for non‐linear constitutive laws in contact interfaces
inferredcites →https://doi.org/10.1002/nme.1620210107openalex-snapshot
A solution method for planar and axisymmetric contact problems
inferredcites →https://doi.org/10.1002/nme.1620280110openalex-snapshot
Frictionless geometrically non‐linear contact using quadratic programming
inferredcites →https://doi.org/10.1002/nme.1620320706openalex-snapshot
Multiplier methods for engineering optimization
inferredcites →https://doi.org/10.1002/nme.1620330407openalex-snapshot
A general finite element approach for contact stress analysis
inferredcites →https://doi.org/10.1002/nme.1620360403openalex-snapshot
An augmented Lagrangian method for discrete large‐slip contact problems
inferredcites →https://doi.org/10.1002/nme.1620362005openalex-snapshot
A continuum‐based finite element formulation for the implicit solution of multibody, large deformation‐frictional contact problems
inferredcites →https://doi.org/10.1002/nme.1620381706openalex-snapshot
On augmented Lagrangian algorithms for thermomechanical contact problems with friction
inferredcites →https://doi.org/10.1007/978-1-4612-5152-1openalex-snapshot
Inequality Problems in Mechanics and Applications: Convex and Nonconvex Energy Functions
inferredcites →https://doi.org/10.1007/978-94-010-9577-8_34openalex-snapshot
A Unified Approach to the Analysis and Design of Elasto-Plastic Structures with Mechanical Contact
inferredcites →https://doi.org/10.1007/bf00927673openalex-snapshot
Multiplier and gradient methods
inferredcites →https://doi.org/10.1007/bf00932519openalex-snapshot
Multibody elastic contact analysis by quadratic programming
inferredcites →https://doi.org/10.1007/bf01580138openalex-snapshot
A dual approach to solving nonlinear programming problems by unconstrained optimization
inferredcites →https://doi.org/10.1007/bf02897875openalex-snapshot
Numerical analysis of coupled thermomechanical frictional contact problems. Computational model and applications
inferredcites →https://doi.org/10.1007/s001580050147openalex-snapshot
Review of formulations for elastostatic frictional contact problems
inferredcites →https://doi.org/10.1016/0020-7683(84)90021-0openalex-snapshot
A theory of friction
inferredcites →https://doi.org/10.1016/0045-7825(76)90018-9openalex-snapshot
A finite element method for a class of contact-impact problems
inferredcites →https://doi.org/10.1016/0045-7825(85)90030-1openalex-snapshot
Sliding interfaces with contact-impact in large-scale Lagrangian computations
inferredcites →https://doi.org/10.1016/0045-7825(85)90088-xopenalex-snapshot
A perturbed Lagrangian formulation for the finite element solution of contact problems
inferredcites →https://doi.org/10.1016/0045-7825(91)90022-xopenalex-snapshot
A mixed formulation for frictional contact problems prone to Newton like solution methods
inferredcites →https://doi.org/10.1016/0045-7949(83)90187-6openalex-snapshot
Numerical analysis of certain contact problems in elasticity with non-classical friction laws
inferredcites →https://doi.org/10.1016/0045-7949(89)90081-3openalex-snapshot
The return mapping method for the integration of friction constitutive relations
inferredcites →https://doi.org/10.1016/0045-7949(91)90229-fopenalex-snapshot
On the rigid body displacements and rotations in unilateral contact problems and applications
inferredcites →https://doi.org/10.1016/0045-7949(92)90540-gopenalex-snapshot
An augmented lagrangian treatment of contact problems involving friction
inferredcites →https://doi.org/10.1016/0168-874x(85)90020-4openalex-snapshot
Concepts and applications of finite element analysis
inferredcites →https://doi.org/10.1016/0377-2217(82)90093-5openalex-snapshot
Practical optimization
inferredcites →https://doi.org/10.1016/s0045-7825(98)00390-9openalex-snapshot
On the numerical modeling of frictional wear phenomena
inferredcites →https://doi.org/10.1093/oso/9780198563839.001.0001openalex-snapshot
Finite Element Procedures for Contact-Impact Problems
inferredcites →https://doi.org/10.1115/1.2791070openalex-snapshot
A Three-Dimensional Frictional Contact Element Whose Stiffness Matrix is Symmetric
inferredcites →https://doi.org/10.1115/1.3641808openalex-snapshot
Impact: The Theory and Physical Behavior of Colliding Solids
inferredcites →https://doi.org/10.1137/1.9781611970845openalex-snapshot
Contact Problems in Elasticity
inferredcites →https://doi.org/10.1515/crll.1882.92.156openalex-snapshot
Ueber die Berührung fester elastischer Körper.
inferredcites →https://doi.org/10.4324/9781315125831openalex-snapshot
Optimization in Industry

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-3-211-48243-8_6openalex-snapshot
Applied Nonsmooth Mechanics of Deformable Bodies
inferred← citeshttps://doi.org/10.1007/978-3-319-75972-2_10openalex-snapshot
On Solving Contact Problems with Coulomb Friction: Formulations and Numerical Comparisons
inferred← citeshttps://doi.org/10.1007/978-3-7091-2790-2_5openalex-snapshot
Classical and Unilateral Contact Analysis in Statics and Dynamics
inferred← citeshttps://doi.org/10.1007/s00158-004-0423-yopenalex-snapshot
An augmented Lagrangian optimization method for contact analysis problems, 1: formulation and algorithm
inferred← citeshttps://doi.org/10.1007/s00158-004-0424-xopenalex-snapshot
An augmented Lagrangian optimization method for contact analysis problems, 2: numerical evaluation
inferred← citeshttps://doi.org/10.1007/s00158-004-0509-6openalex-snapshot
Review of formulations for structural and mechanical system optimization
inferred← citeshttps://doi.org/10.1007/s11831-015-9158-8openalex-snapshot
Complementarity Problems in Structural Engineering: An Overview
inferred← citeshttps://doi.org/10.1007/s11831-015-9159-7openalex-snapshot
Surface Smoothing Procedures in Computational Contact Mechanics
inferred← citeshttps://doi.org/10.1016/j.compstruc.2018.02.005openalex-snapshot
A linear relaxation model for shape optimization of constrained contact force problem
inferred← citeshttps://doi.org/10.1016/j.compstruc.2020.106296openalex-snapshot
Topology optimization of elastic contact problems with friction using efficient adjoint sensitivity analysis with load increment reduction
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2026.112400openalex-snapshot
A variationally consistent augmented Lagrangian contact framework for peridynamic impact and brittle fracture in plates
inferred← citeshttps://doi.org/10.1016/j.ijmecsci.2019.105362openalex-snapshot
A new method for distortion calculations in additive manufacturing: Contact analysis between a workpiece and clamps
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2016.08.023openalex-snapshot
Numerical analysis on the elastic deformation of the tools in sheet metal forming processes
inferred← citeshttps://doi.org/10.1061/(asce)0733-9399(2005)131:10(1004)openalex-snapshot
Return Mapping Procedure for Frictional Force Calculation: Some Insights
inferred← citeshttps://doi.org/10.1137/s1064827503431946openalex-snapshot
Contact Analysis of Cable Networks by Using Second-Order Cone Programming
inferred← citeshttps://doi.org/10.2514/6.2001-1251openalex-snapshot
A new frictional contact problem formulation using augmented Lagrangian method
inferred← citeshttps://doi.org/10.2514/6.2002-5555openalex-snapshot
Time/Load Step Independent Frictional Contact Analysis Using Optimization
inferred← citeshttps://doi.org/10.3166/reef.14.931-955openalex-snapshot
Application de la méthode asymptotique numérique au contact des dents d’engrenage
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