Approach for multi-valued integer programming in multi-material topology optimization: random discrete steepest descent (RDSD) algorithm
DOI10.1016/J.CMA.2024.117449MaRDI QIDQ6643610
Zhenzeng Lei, Gengdong Cheng, Zeyu Deng, Yuan Liang
Publication date: 26 November 2024
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
topology optimizationmulti-materialdiscrete convex analysismulti-valued integer programmingrandom discrete steepest descent (RDSD) algorithm
Mixed integer programming (90C11) Topological methods for optimization problems in solid mechanics (74P15)
Cites Work
- Title not available (Why is that?)
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- Optimization by Simulated Annealing
- Material interpolation schemes for unified topology and multi-material optimization
- Convexity and Steinitz's exchange property
- Global optimization of truss topology with discrete bar areas. II: Implementation and numerical results
- Material interpolation schemes in topology optimization
- Topology optimization via sequential integer programming and canonical relaxation algorithm
- Topology optimization of multi-material structures considering a piecewise interface stress constraint
- On the design of multimaterial structural topologies using integer programming
- A new multi-material topology optimization algorithm and selection of candidate materials
- Cutting plane versus compact formulations for uncertain (integer) linear programs
- A mass constraint formulation for structural topology optimization with multiphase materials
- An Automatic Method of Solving Discrete Programming Problems
- Discrete material optimization of general composite shell structures
- Cutting-set methods for robust convex optimization with pessimizing oracles
- Exact penalty functions in nonlinear programming
- A Finite Element Analysis of Optimal Variable Thickness Sheets
- Discrete Convex Analysis
- An Introduction to the Topological Derivative Method
- Multi-material structural discrete variable topology optimization with minimum length scale control under mass constraint
- A single variable stress-based multi-material topology optimization method with three-dimensional unstructured meshes
- Reformulation for stress topology optimization of continuum structures by floating projection
- Topological derivative based sensitivity analysis for three-dimensional discrete variable topology optimization
- Improving the joint quality in density-based multi-material topology optimization with minimum length scale control
- Stress-related discrete variable topology optimization with handling non-physical stress concentrations
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