Deep drawing is an important process used for producing cups from sheet metal in large quantities. The process parameters and viscosity of fluid is maintained the major role in the hydro forming-deep drawing process. Hydraulic pressure can enhance the capabilities of the basic deep drawing process for making metal cups. Hydraulic pressure contributes positively in several ways to the deep drawi...

Blank size and form represent one of the main sources of variation in lithic assemblages. They reflect economic properties of blanks and factors such as efficiency and use life. These properties require reliable measures of size, namely edge length and surface area. These measures, however, are not easily captured with calipers. Most attempts to quantify these features employ estimates; however...

In this paper, we are interested in the application to video segmentation of the discrete shape optimization problem

We consider a non-local shape optimization problem, which is motivated by a simple model for swarming and other self-assembly/aggregation models, and prove the existence of different phases. A technical key ingredient, which we establish, is that a strictly subharmonic function cannot be constant on a set of positive measure.

The behaviour of solutions to fourth order problems is studied through the decomposition into a system of second order ones, which leads to relaxed formulations with the introduction of measure terms. This allows to solve a shape optimization problem for a simply supported thin plate. Ref. S.I.S.S.A. 32/97/M (March 97) Asymptotic behaviour of solutions of fourth order Dirichlet problems 1

We consider a non-local shape optimization problem, which is motivated by a simple model for swarming and other self-assembly/aggregation models, and prove the existence of different phases. A technical key ingredient, which we establish, is that a strictly subharmonic function cannot be constant on a set of positive measure.

Using gradient-based optimization combined with numerical solutions of the Helmholtz equation, we design an acoustic device with high transmission efficiency and even directivity throughout a two-octave-wide frequency range. The device consists of a horn, whose flare is subject to boundary shape optimization, together with an area in front of the horn, where solid material arbitrarily can be di...

Shape optimization problem for a nonlinear elastic plate governed by von Karman equation is considered. Using material derivative method, sensitivity analysis of the solution to the von Karman system with respect to the variation of the domain is performed and a necessary optimality condition is derived.

This paper is devoted to the analysis of multiphase shape optimization problems, which can formally be written as min { g ( (F1(Ω1), . . . , Fh(Ωh) ) +m ∣∣ h ⋃ i=1 Ωi ∣∣ : Ωi ⊂ D, Ωi ∩ Ωj = ∅}, where D ⊆ R is a given bounded open set, |Ωi| is the Lebesgue measure of Ωi and m is a positive constant. For a large class of such functionals, we analyse qualitative properties of the cells and the int...