Electron. J. Diff. Eqns., Vol. 2005(2005), No. 147, pp. 1-25.

Quasistatic evolution of damage in an elastic-viscoplastic material

Kenneth Kuttler

The mathematical theory of quasistatic elastic viscoplastic models with damage is studied. The existence of the unique local weak solution is established by using approximate problems and a priori estimates. Pointwise estimates on the damage are obtained using a new comparison technique which removes the necessity of including a subgradient term in the equation for damage.

Submitted September 16, 2005. Published December 12, 2005.
Math Subject Classifications: 74D10, 74R99, 74C10, 35K50, 35K65, 35Q72, 35B05.
Key Words: Existence and uniqueness; damage; comparison theorems; elastic viscoplastic materials.

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Kenneth Kuttler
Department of Mathematics
Brigham Young University
Provo, UT 84602, USA
email: klkuttle@math.byu.edu

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