Shape optimization with a homogeneous Dirichlet boundary value problem as a state is considered. Three ctitious domain approaches on a xed grid are presented and used as solvers for the state problem. Speciic features of this approach in context of shape optimization, as smoothness of the resulting optimization problem are discussed.

This paper deals with a free boundary problem for both Laplacian and p-Laplacian operators. We begin by proving the existence of solution (which is of class C) for the associated shape optimization problem. Then, after performing the shape derivative we will present two approaches in order to get sufficient conditions of existence of the free boundaries. The first one needs the use of some maxi...

The structural design problems are acknowledged to be commonly multicriteria in nature. The various multi-criteria optimization methods are reviewed and most efficient and easy-to-use Pare to optimal solution method is applied to structural optimization of a sandwich beam.

Tube hydroforming is one type of unconventional metal forming process in which high fluid pressure and axial feed are used to deform a tube blank in the desired shape. Bi-layered tube hydroforming is suitable to produce bi-layered joints which can be used in special applications such as aerospace, oil production, and nuclear power plants. In this work a finite element study was performed using ...

In general, deep drawing products have various cross-section shapes such as cylindrical, rectangular and nonaxisymmetric shapes. The application of the surface area calculation to non-axisymmetric deep drawing process has not been published yet. In this research, a surface area calculation for non-axisymmetric deep drawing products with elliptical shape was constructed for a design of blank sha...

in this article the general non-symmetric parametric form of the incremental secant stiffness matrix for nonlinear analysis of solids have been investigated to present a semi analytical sensitivity analysis approach for geometric nonlinear shape optimization. to approach this aim the analytical formulas of secant stiffness matrix are presented. the models were validated and used to perform inve...

This research introduces an advanced forging method to produce the door frame of the wind turbine tower. The advantage of the new forging method is the increase of raw material utilization ratio and the energy saving. In the conventional method, the door frame is hot forged with a hydraulic press and machined out lots of material because of the big difference between forging shape and final mac...

this article is devoted to the simultaneous optimization of shape and topology of shell structures. the optimum shape is obtained together with the optimum layout for the reinforcement layers at the both sides of the shell surface. to solve this problem the finite element method is employed. it is assumed that each element is comprised of a porous media with microscopic rectangular voids where ...