Optimization of Thermal Conductivities of Isotropic and Orthotropic Solids

[+] Author and Article Information
R. A. Meric

Applied Mathematics Department, Research Institute for Basic Sciences, TUBITAK, Gebze, Kocaeli, Turkey

J. Heat Transfer 107(3), 508-512 (Aug 01, 1985) (5 pages) doi:10.1115/1.3247453 History: Received May 03, 1984; Online October 20, 2009


Optimization of thermal conductivities of isotropic and orthotropic solids is treated as a steady-state optimal control problem. Nonlinear necessary optimum conditions are first derived for the so-called material optimization problem, and a general numerical method of solution is then proposed. The iterative numerical procedure solves the linearized state and co-state equations by the finite element method and minimizes the performance index by the conjugate gradient method. Numerical solutions, checked with exact results when possible, are given for an isotropic infinite plate and a cylinder.

Copyright © 1985 by ASME
Your Session has timed out. Please sign back in to continue.





Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In