Memorias de investigación
Communications at congresses:
Optimal boundary geometry in an elasticity problem: a systematic adjoint approach
Year:2009

Research Areas
  • Architecture

Information
Abstract
In different problems of Elasticity the definition of the optimal geometry of the boundary, according to a given objective function, is an issue of great interest. Finding the shape of a hole in the middle of a plate subjected to an arbitrary loading such that the stresses along the hole minimizes some functional or the optimal middle curved concrete vault for a tunnel along which a uniform minimum compression are two typical examples. In these two examples the objective functional depends on the geometry of the boundary that can be either a curve (in case of 2D problems) or a surface boundary (in 3D problems). Typically, optimization is achieved by means of an iterative process which requires the computation of gradients of the objective function with respect to design variables. Gradients can by computed in a variety of ways, although adjoint methods either continuous or discrete ones are the more efficient ones when they are applied in different technical branches. In this paper the adjoint continuous method is introduced in a systematic way to this type of problems and an illustrative simple example, namely the finding of an optimal shape tunnel vault immersed in a linearly elastic terrain, is presented.
International
Si
Congress
Evolution and trends in design, analysis and construction of shell and spatial structures. Symposium of the IASS
960
Place
Vlencia, Spain
Reviewers
Si
ISBN/ISSN
978-84-8363-461-5
Start Date
28/09/2009
End Date
02/10/2009
From page
509
To page
524
Proceedings of the International Association for Shell and Spatial Structures (IASS) Symposium 2009, Valencia Evolution and Trends in Design, Analysis and Construction of Shell and Spatial Structures
Participants

Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Cálculo estructural aplicado a la Ing. Civil
  • Departamento: Matemática e Informática Aplicadas a la Ingeniería Civil
  • Departamento: Mecánica de Medios Continuos y Teoría de Estructuras
  • Departamento: Ingeniería Civil: Hidráulica y Energética