On two formulations of an optimal insulation problem View Full Text


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Article Info

DATE

2007-04

AUTHORS

E. Munoz, G. Allaire, M. P. Bendsøe

ABSTRACT

Two formulations for the design of the optimal insulation of a domain are investigated by computational means. The results illustrate the similarities and differences that result from the two approaches. One method is in the format of a topology design problem of distributing insulating material in a domain surrounding a non-design domain that is heated by a given heat source; this problem is treated in both a relaxed format and a penalized material format. The other approach deals with the optimal distribution of a thin layer of insulation on the boundary of the non-design domain; this problem is more in the realm of shape design, or rather, it is similar to optimal design of support conditions for structures. In both cases, mathematical programming is used, but for the shape design case, it is applied to the non-linear analysis problems that arise when the optimal design is explicitly solved for. More... »

PAGES

363-373

References to SciGraph publications

  • 1997. Calculus of Variations and Homogenization in TOPICS IN THE MATHEMATICAL MODELLING OF COMPOSITE MATERIALS
  • 1984. Numerical simulation for some applied problems originating from continuum mechanics in TRENDS AND APPLICATIONS OF PURE MATHEMATICS TO MECHANICS
  • 1997. Effective Characteristics of Composite Materials and the Optimal Design of Structural Elements in TOPICS IN THE MATHEMATICAL MODELLING OF COMPOSITE MATERIALS
  • 2000. Variational Methods for Structural Optimization in NONE
  • 1988. An optimization problem for thin insulating layers around a conducting medium in BOUNDARY CONTROL AND BOUNDARY VARIATIONS
  • 2000-04. Topology optimization of continuum structures subjected to pressure loading in STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
  • 2001-04. On the trajectories of penalization methods for topology optimization in STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
  • 2005-11. Optimal design of 2D conducting graded materials by minimizing quadratic functionals in the field in STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
  • 2002. Shape Optimization by the Homogenization Method in NONE
  • 1997-02. Optimal distribution of multimaterial composites for torsional beams in STRUCTURAL OPTIMIZATION
  • 1987-07. Reinforcement by a thin layer with oscillating thickness in APPLIED MATHEMATICS & OPTIMIZATION
  • 1999-02. On the Optimal Insulation of Conductors in JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s00158-006-0085-z

    DOI

    http://dx.doi.org/10.1007/s00158-006-0085-z

    DIMENSIONS

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