Design sensitivity analysis for nonlinear thermal systems

Daniel A. Tortorelli, Robert B. Haber, Stephen C.Y. Lu

Research output: Contribution to journalArticlepeer-review

Abstract

The Lagrange multiplier method and convolution theory are used to formulate design sensitivities for nonlinear transient thermal systems. Variations of a general design functional are expressed in explicit form with respect to variations in structural shape and the conventional design quantities, i.e., material properties, applied loads, prescribed boundary conditions and initial conditions. The design functional depends on these explicit quantities and the implicit repsonse fields: temperature, temperature gradient, heat flux vector and reaction surface flux. A finite element implementation of the methodology illustrates the formulation.

Original languageEnglish (US)
Pages (from-to)61-77
Number of pages17
JournalComputer Methods in Applied Mechanics and Engineering
Volume77
Issue number1-2
DOIs
StatePublished - Dec 1989
Externally publishedYes

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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