An evolutionary topology optimization approach with variationally controlled growth

DOI10.1016/j.cma.2016.07.022zbMath1439.74278OpenAlexW2486402534WikidataQ59767845 ScholiaQ59767845MaRDI QIDQ2310341

Dustin R. Jantos, Klaus Hackl, Philipp Junker

Publication date: 6 April 2020

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

Full work available at URL: https://doi.org/10.1016/j.cma.2016.07.022

zbMATH Keywords

growthtopology optimizationvariational modelingdiscontinuous Galerkin approachconstraint evolution

Mathematics Subject Classification ID

Approximation methods and heuristics in mathematical programming (90C59) Topological methods for optimization problems in solid mechanics (74P15)

Related Items

Application of Taylor series combined with the weighted least square method to thermodynamic topology optimization, Mechanobiological free energy: a variational approach to tensional homeostasis in tissue equivalents, Optimized growth and reorientation of anisotropic material based on evolution equations, A polytree-based adaptive polygonal finite element method for multi-material topology optimization

Cites Work

• Unnamed Item
• A critical review of established methods of structural topology optimization
• Dynamical systems and topology optimization
• Dynamical systems, SIMP, bone remodeling and time dependent loads
• Bi-directional evolutionary topology optimization using element replaceable method
• Bi-directional evolutionary topology optimization of continuum structures with one or multiple materials
• Topology optimization of thermoelastic structures using level set method
• Computational modeling of growth. A critical review, a classification of concepts and two new consistent approaches
• Structural optimization using sensitivity analysis and a level-set method.
• Material interpolation schemes in topology optimization
• A level set method for structural topology optimization.
• Review of options for structural design sensitivity analysis. I: Linear systems
• The principle of the minimum of the dissipation potential for non-isothermal processes
• Phase-field Approaches to Structural Topology Optimization
• Design-dependent loads in topology optimization
• Large-scale topology optimization in 3D using parallel computing