Design sensitivity analysis for nonlinear thermal systems

DOI10.1016/0045-7825(89)90128-XzbMath0724.73160MaRDI QIDQ758304

Stephen C.-Y. Lu, Daniel A. Tortorelli, Robert Bruce Haber

Publication date: 1989

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

Lagrange multiplier methodconvolution theorynonlinear transient thermal systems

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Thermodynamics in solid mechanics (74A15) Optimization of other properties in solid mechanics (74P10) Optimization problems in solid mechanics (74P99)

Related Items

Shape sensitivity and optimization for transient heat diffusion problems using the bem ⋮ Structural topology design with multiple thermal criteria ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Dynamic response sensitivity of inelastic structures

Uses Software

• ABAQUS

Cites Work

• Unnamed Item
• A mixed Eulerian-Lagrangian displacement model for large-deformation analysis in solid mechanics
• Design sensitivity analysis of structural systems
• Shape design sensitivity analysis for non-linear anisotropic heat conducting solids and shape optimization by the BEM
• Shape design sensitivity analysis of a two-dimensional heat transfer system using the boundary element method
• First-order design sensitivities for transient conduction problems by an adjoint method
• Techniques for thermal sensitivity analysis
• Tangent operators, sensitivity expressions, and optimal design of non‐linear elastica in contact with applications to beams