Optimal boundary geometry in an elasticity problem: a systematic adjoint approach

García-Palacios, Jaime H. and Castro Barbero, Carlos Manuel and Samartín, Avelino (2009). Optimal boundary geometry in an elasticity problem: a systematic adjoint approach. In: "IASS Valencia 2009", 28 de Septiembre – 2 de Octubre, 2009, Valencia (España). ISBN 978-84-8363-461-5.

Description

Title: Optimal boundary geometry in an elasticity problem: a systematic adjoint approach
Author/s:
  • García-Palacios, Jaime H.
  • Castro Barbero, Carlos Manuel
  • Samartín, Avelino
Item Type: Presentation at Congress or Conference (Article)
Event Title: IASS Valencia 2009
Event Dates: 28 de Septiembre – 2 de Octubre, 2009
Event Location: Valencia (España)
Title of Book: Evolution and trends in design, analysis and construction of shell and spatial structures: proceedings of the IASS Symposium 2009
Date: 2009
ISBN: 978-84-8363-461-5
Subjects:
Freetext Keywords: Structural Optimization, Boundary Geometry, Continuous Adjoint Approach,Finite Elements, Numerical techniques
Faculty: E.T.S.I. Caminos, Canales y Puertos (UPM)
Department: Ingeniería Civil: Hidráulica y Energética [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

In different problems of Elasticity the definition of the optimal gcometry 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.

More information

Item ID: 32843
DC Identifier: http://oa.upm.es/32843/
OAI Identifier: oai:oa.upm.es:32843
Deposited by: Biblioteca ETSI Caminos
Deposited on: 24 Nov 2014 15:09
Last Modified: 17 Apr 2015 15:11
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