Sensitivity analysis for nonlinear constrained elastostatic systems

Research output: Contribution to journalConference articlepeer-review


Adjoint and direct differentiation methods are used to formulate design sensitivities for nonlinear constrained elastostatic systems. Variations of a general response functional are expressed in explicit form with respect to all design field variations, including shape. The response functional is expressed over the underformed configuration, however the displacement gradient is included so that field quantities that are defined over the deformed configuration, such as Cauchy stress, may be modeled. The finite element method is used to evaluate the sensitivities in an example problem.

Original languageEnglish (US)
Pages (from-to)115-126
Number of pages12
JournalAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
StatePublished - 1990
Externally publishedYes
EventWinter Annual Meeting of the American Society of Mechanical Engineers - Dallas, TX, USA
Duration: Nov 25 1990Nov 30 1990

ASJC Scopus subject areas

  • Mechanical Engineering


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