Optimal shape design and unilateral boundary value problems: Part II
✍ Scribed by J. Haslinger; P. Neittaanmäki; T. Tiihonen; A. Kaarna
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 877 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0143-2087
No coin nor oath required. For personal study only.
✦ Synopsis
The shape optimization of an elastic body in contact with a rigid surface is considered. An existence result for optimal shapes as well as a numerical realization are stated. From several numerical results it can be seen that minimizing the total potential energy of the system leads to an even distribution of contact forces on the contact boundary, even in the cases when the contact involves friction.
📜 SIMILAR VOLUMES
A boundary integral formulation for shape optimization is presented in linear elasticity problems with zoned-inhomogeneous bodies. Sensitivity formula for arbitrary functional with respect to the interface shape variation is derived based on a boundary integral identity. Analytic as well as numerica
The method presented in Part I of this paper' is extended to problems governed by a system of partial differential equations. The basic clarity and simplicity of the method is preserved. The domain of integration is covered by a net of orthogonal (not necessarily equidistant) straight lines. Choosi