The aim of this paper is to adapt the Viability Theorem from differential inclusions (governing the evolution of vectors in a finite dimensional space) to so-called morphological inclusions (governing the evolution of nonempty compact subsets of the Euclidean space). In this morphological framework, the evolution of compact subsets of RN is described by means of flows along bounded Lipschitz ve...

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...

Abstract The trend towards flexible, agile, and resource-efficient production systems requires a continuous development of processes as well tools in the area forming technology. To create load-adjusted weight-optimized tool structures, we present an overview new algorithm-driven design optimization workflow based on mixed-integer linear programming. Loads boundary conditions for mathematical a...

Unlike existing uniform thickness structures, tailor rolled blank (TRB) which allows continuous metal thickness charges has been recently gaining comprehensive attention due to its excellent lightweight potential. The aim of this study is to combine the advantages of the TRB manufacturing technology with the structural optimization methodology to design the front longitudinal beam under impact ...

The Semantic Web (SW) is an evolving extension of the World Wide Web in which the content can be expressed not only in natural language, but also in formal languages (e.g. RDF/S) that can be read and used by software agents, permitting them to find, share and integrate information more easily. The semantically structured content is expressed using RDF triples and a set of such triples constitut...

This work is a development from the INETFORSMEP European project. It was proposed to realize a global optimization of a deep drawing industrial progression (made of several stages) for a cup manufacture. The objectives of the process were the thickness decrease and the geometrical parameters (especially the height). This paper completes this previous work in the aim of mastering the contour def...

In this paper we consider hemivariational inequalities of hyperbolic type. The existence result for hemivariational inequality is given and the existence theorem for the optimal shape design problem is shown.