Sensitivity analysis of functionals with respect to shape for dynamically loaded nonlocal thermoelastic solids

DOI10.1016/0020-7225(88)90089-4zbMath0661.73005OpenAlexW2126443770MaRDI QIDQ1113714

R. Alsan Meric

Publication date: 1988

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(88)90089-4

zbMATH Keywords

inverse problemperturbationsfree boundary problemsshape sensitivity analysisadjoint variable methodadjoint equations of integro-differential type solved backwards in timedynamically loaded nonlocal thermoelastic solid bodygeneral integral functional of system's responsematerial derivative concept of structural optimizationprimary equations integrated forwardstime-independent domainstotal variation of the general performance criterion with respect to shape variations

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Thermal effects in solid mechanics (74F05) Optimization problems in solid mechanics (74P99)

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Displacement minimization of thermoelastic structures by evolutionary thickness design, Unnamed Item, Shape design sensitivity analysis of thermoelasticity problems, Optimal control of memory dependent nonlocal elastic solids, Sensitivity analysis and optimization of thermo-elasto-plastic processes with applications to welding side heater design

Cites Work

• Sensitivity analysis for a general performance criterion in micropolar thermoelasticity
• Dynamic sensitivity analysis of material and load parameters in nonlocal elasticity
• Design sensitivity analysis of structural systems
• Theory of nonlocal thermoelasticity
• Theory of nonlocal generalised thermoelasticity
• On nonlocal elasticity
• Unnamed Item