Dynamics and control of viscoelastic solids with contact and friction effects

DOI10.1016/0362-546X(89)90050-3zbMath0677.73075MaRDI QIDQ3833758

J. Tinsley Oden, Luther W. White

Publication date: 1989

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

regularizationexistence of optimal controlsinterface constitutive laws

Mathematics Subject Classification ID

Variational inequalities (49J40) Contact in solid mechanics (74M15) Theories of friction (tribology) (74A55) Dynamical problems in solid mechanics (74Hxx)

Related Items (4)

Time-discretized variational formulation of non-smooth frictional contact ⋮ Optimal control of an elastic contact problem involving Tresca fraction law ⋮ On the dynamic vibrations of an elastic beam in frictional contact with a rigid obstacle ⋮ Finite element analysis of nonsmooth contact

Cites Work

• A system of rigid bodies with dry friction
• Models and computational methods for dynamic friction phenomena
• Existence and local uniqueness of solutions to contact problems in elasticity with nonlinear friction laws
• Existence and uniqueness results for dynamic contact problems with nonlinear normal and friction interface laws
• Mechanical Systems of Rigid Bodies Subject to Unilateral Constraints
• Coulomb Friction in Two‐Dimensional Rigid Body Systems
• A class of nonlinear differential equations of second order in time
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