Search results for "Shape optimization problem"

showing 2 items of 2 documents

Optimization of the domain in elliptic variational inequalities

1988

This paper is concerned with a nonsmooth shape optimization problem for the Signorini unilateral boundary-value problem. The necessary optimality conditions are derived. The results of computations are presented.

Elliptic curveMathematical optimizationControl and OptimizationApplied MathematicsComputationVariational inequalityShape optimization problemBoundary value problemGradient methodFinite element methodDomain (mathematical analysis)MathematicsApplied Mathematics & Optimization
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Shape Optimization in Contact Problems. 1. Design of an Elastic Body. 2. Design of an Elastic Perfectly Plastic Body

1986

The optimal shape design of a two dimensional body on a rigid foundation is analyzed. The problem is how to find the boundary part of the body where the unilateral boundary conditions are assumed in such a way that a certain energy integral (total potential energy, for example) will be minimized. It is assumed that the material of the body is elastic. Some remarks will be given concerning the design of an elastic perfectly plastic body. Numerical examples will be given.

PhysicsShape designMathematical analysisFoundation (engineering)Boundary (topology)Shape optimizationShape optimization problemBoundary value problemPotential energyEnergy (signal processing)
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