One-Dimensional Thermoelastic Contact with a Stress-Dependent Radiation Condition

DOI10.1137/0523080zbMath0770.35035OpenAlexW2027701806MaRDI QIDQ4015332

Meir Shillor, Andro Mikelić, Steve Wright, Peter Shi, Kevin T. Andrews

Publication date: 6 January 1993

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0523080

zbMATH Keywords

a priori estimatesSchauder's fixed point theoremnonlinear perturbationsrigid obstacleuniqueness of the solutionnonlinear and nonlocal boundary conditionSignorini's conditionnonlocal heat equationdisplacement of a long thin elastic rodlocal dependence on the initial-boundary datalocal existence of a strong solutionnonlinear heat transfer coefficientperturbations of monotone operators

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Contact in solid mechanics (74M15) Dynamical problems in solid mechanics (74H99) Elastic materials (74B99) Theories of friction (tribology) (74A55)

Related Items (10)

Thermoelastic contact with Barber's heat exchange condition ⋮ Uniqueness and continuous dependence of solutions to a multidimensional thermoelastic contact problem ⋮ A rod-beam system with dynamic contact and thermal exchange condition ⋮ A parabolic initial-boundary value problem modeling axially symmetric thermoelastic contact ⋮ Existence of A Solution to The N Dimensional Problem of Thermoelastic Contact ⋮ Unnamed Item ⋮ Mathematical and numerical approaches to a one-dimensional dynamic thermoviscoelastic contact problem ⋮ Explicit estimates on a mixed Neumann--Robin--Cauchy problem ⋮ Numerical solutions to one-dimensional problems of thermoelastic contact ⋮ Asymptotic approximations to one-dimensional problems of quasistatic thermoelastic contact

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