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  1. Zeitschrift für angewandte Mathematik und Physik
  2. Zeitschrift für angewandte Mathematik und Physik : Volume 55
  3. Zeitschrift für angewandte Mathematik und Physik : Volume 55, Issue 1, January 2004
  4. Dynamic frictionless contact with adhesion
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Zeitschrift für angewandte Mathematik und Physik : Volume 67
Zeitschrift für angewandte Mathematik und Physik : Volume 66
Zeitschrift für angewandte Mathematik und Physik : Volume 65
Zeitschrift für angewandte Mathematik und Physik : Volume 64
Zeitschrift für angewandte Mathematik und Physik : Volume 63
Zeitschrift für angewandte Mathematik und Physik : Volume 62
Zeitschrift für angewandte Mathematik und Physik : Volume 61
Zeitschrift für angewandte Mathematik und Physik : Volume 60
Zeitschrift für angewandte Mathematik und Physik : Volume 59
Zeitschrift für angewandte Mathematik und Physik : Volume 58
Zeitschrift für angewandte Mathematik und Physik : Volume 57
Zeitschrift für angewandte Mathematik und Physik : Volume 56
Zeitschrift für angewandte Mathematik und Physik : Volume 55
Zeitschrift für angewandte Mathematik und Physik : Volume 55, Issue 6, November 2004
Zeitschrift für angewandte Mathematik und Physik : Volume 55, Issue 5, September 2004
Zeitschrift für angewandte Mathematik und Physik : Volume 55, Issue 4, July 2004
Zeitschrift für angewandte Mathematik und Physik : Volume 55, Issue 3, May 2004
Zeitschrift für angewandte Mathematik und Physik : Volume 55, Issue 2, March 2004
Zeitschrift für angewandte Mathematik und Physik : Volume 55, Issue 1, January 2004
Stable boundary layers in a diffusion problem with nonlinear reaction at the boundary
Blow-up for semilinear parabolic equations with nonlinear memory
Monotonicity of solutions and blow-up for semilinear parabolic equations with nonlinear memory
Dynamic frictionless contact with adhesion
Global stability of solutions with discontinuous initial data containing vacuum states for the isentropic Euler equations
Nonlinear electrohydrodynamic instability of a finitely conducting cylinder: Effect of interfacial surface charges
The temperature-jump problem based on the CES model of the linearized Boltzmann equation
Rate-independent plasticity and statistically stored dislocations
A simple solution of the bridged crack problem
Some solutions for a compressible isotropic elastic material
Microstructure evolution model in micromagnetics
Zeitschrift für angewandte Mathematik und Physik : Volume 54
Zeitschrift für angewandte Mathematik und Physik : Volume 53
Zeitschrift für angewandte Mathematik und Physik : Volume 52
Zeitschrift für angewandte Mathematik und Physik : Volume 51
Zeitschrift für angewandte Mathematik und Physik : Volume 50
Zeitschrift für angewandte Mathematik und Physik : Volume 49
Zeitschrift für angewandte Mathematik und Physik : Volume 48

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Dynamic frictionless contact with adhesion

Content Provider SpringerLink
Author Sofonea, M. Chau, O. Shillor, M.
Copyright Year 2004
Abstract A model for the dynamic, adhesive, frictionless contact between a viscoelastic body and a deformable foundation is described. The adhesion process is modeled by a bonding field on the contact surface. The contact is described by a modified normal compliance condition. The tangential shear due to the bonding field is included. The problem is formulated as a coupled system of a variational equality for the displacements and a differential equation for the bonding field. The existence of a unique weak solution for the problem is established, together with a partial regularity result. The existence proof proceeds by construction of an appropriate mapping which is shown to be a contraction on a Hilbert space.
Ending Page 47
Page Count 16
Starting Page 32
File Format PDF
ISSN 00442275
e-ISSN 14209039
Journal Zeitschrift für angewandte Mathematik und Physik
Issue Number 1
Volume Number 55
Language English
Publisher Birkhäuser-Verlag
Publisher Date 2004-01-01
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Nonlinear second-order hyperbolic equations fixed point dynamic contact normal compliance viscoelastic material existence and uniqueness Adhesion Existence of solutions monotone operator Contact Chemical and reactive effects
Content Type Text
Resource Type Article
Subject Applied Mathematics Physics and Astronomy
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