Free material optimization for stress constraints

DOI10.1007/s00158-007-0095-5zbMath1245.74059OpenAlexW1983448475MaRDI QIDQ445504

Michael Stingl, Michal Kočvara

Publication date: 25 August 2012

Published in: Structural and Multidisciplinary Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00158-007-0095-5

zbMATH Keywords

stress constraintsmaterial optimization

Mathematics Subject Classification ID

Compliance or weight optimization in solid mechanics (74P05)

Related Items

On the efficient solution of a patch problem with multiple elliptic inclusions, Sufficient optimality conditions hold for almost all nonlinear semidefinite programs, Exact analytical solutions for some popular benchmark problems in topology optimization. III: \(L\)-shaped domains, Solving stress constrained problems in topology and material optimization, Topology optimization of a cantilevered piezoelectric energy harvester using stress norm constraints, Gradient-based concurrent topology and anisotropy optimization for mechanical structures, Operations research in the space industry, The stiffest designs of elastic plates: vector optimization for two loading conditions, Free Material Optimization for Plates and Shells, Optimized growth and reorientation of anisotropic material based on evolution equations, PENNON: Software for Linear and Nonlinear Matrix Inequalities, A primal-dual interior point method for large-scale free material optimization

Uses Software

• AMPL
• PENNON
• Ipopt
• PENSDP
• MA27

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Topology optimization of continuum structures with material failure constraints
• Topology optimization for minimum stress design with the homogenization method
• A hierarchical neighbourhood search method for topology optimization
• Mathematical programs with vanishing constraints: optimality conditions and constraint qualifications
• An interior-point algorithm for nonconvex nonlinear programming
• Free material optimization via mathematical programming
• Design of functionally graded composite structures in the presence of stress constraints
• On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
• Inverse homogenization and design of microstructure for pointwise stress control
• PENNON: A code for convex nonlinear and semidefinite programming
• Free Material Design via Semidefinite Programming: The Multiload Case with Contact Conditions
• An Analytical Model to Predict Optimal Material Properties in the Context of Optimal Structural Design