VERIFIED CALCULATION OF AN ERROR BOUND FOR A SIMPLIFIED ELASTOPLASTICITY MODEL

J ROHE

uafx@rz.uni-karlsruhe.de

Mathematisches Institut I
Universität Karlsruhe
D-76128 Karlsruhe, Germany

We consider a simplified model for nonlinear plasticity. Let ,

the equilibrium set, and

Then, the convex minimisation problem to be considered is

We will propose a method for enclosing the solution when ist a bounded, simply connected, polygonal domain in . If there exists a unique solution. If an approximation for it in is known, an error bound can be given in the norm using duality methods. The main difficulty is the construction of an initial element in

EPSRC Gregynog Workshop, 21-26 July 2002