Optimal control and optimization of functionally graded materials for thermomechanical processes

The present communication is concerned with the control and/or optimization of a two-phase isotropic composite under time-dependent thermomechanical loadings. A control-like problem and a structural optimization problem are formulated using a common framework. In both cases the material properties a...

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Bibliographic Details
Published inInternational journal of solids and structures Vol. 39; no. 12; pp. 3175 - 3197
Main Author Turteltaub, Sergio
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 01.06.2002
Elsevier Science
Subjects
Exact sciences and technology
Functionally graded material
Fundamental areas of phenomenology (including applications)
Inverse problem
Optimal design
Parameter identification
Physics
Solid mechanics
Static elasticity
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Parameter identification
Functionally graded material
Optimal design
Inverse problem
Thermal stress
Parameter estimation
Refractory material
Multiobjective programming
Thermomechanical properties
Numerical method
Thermal barrier
Modeling
Optimization
Thermodynamics
Functionnally graded material
System identification
Structural analysis
Dynamic load
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Summary:The present communication is concerned with the control and/or optimization of a two-phase isotropic composite under time-dependent thermomechanical loadings. A control-like problem and a structural optimization problem are formulated using a common framework. In both cases the material properties are used as primary design variables and no a priori assumptions are made regarding the spatial distribution of each phase. For optimal control problems, the objective is to minimize the difference between field variables and target fields and for structural optimization problems the objective is to minimize the product of conjugate thermodynamical variables. Within this context, it is shown that for the minimum structural compliance problem, the optimal distribution of material properties depends on the loading history, even though the deformations are elastic. For a simplified thermal barrier design, it is shown that the problem requires simultaneous control of stresses and thermal energy via a multi-objective formulation.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0020-7683
1879-2146
DOI:10.1016/S0020-7683(02)00243-3