Multi-material Phase Field Approach to Structural Topology Optimization

DOI10.1007/978-3-319-05083-6_15zbMath1327.49068arXiv1312.2356OpenAlexW1514909268MaRDI QIDQ2945488

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Publication date: 11 September 2015

Published in: International Series of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.2356

zbMATH Keywords

gradient projection methodshape sensitivity analysisshape and topology optimizationphase field approach

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Topological methods for optimization problems in solid mechanics (74P15) Compliance or weight optimization in solid mechanics (74P05) Methods of reduced gradient type (90C52) Numerical methods for variational inequalities and related problems (65K15)

Related Items (15)

Domain decomposition in time for PDE-constrained optimization ⋮ Boundary effects in a phase-field approach to topology optimization ⋮ Total variation regularization of multi-material topology optimization ⋮ A level set-based optimized design of multi-material compliant mechanisms considering stress constraints ⋮ A multi-material topology optimization algorithm based on the topological derivative ⋮ An Extension of the Projected Gradient Method to a Banach Space Setting with Application in Structural Topology Optimization ⋮ A convex analysis approach to multi-material topology optimization ⋮ Sharp-interface limit of a multi-phase spectral shape optimization problem for elastic structures ⋮ Fully Adaptive and Integrated Numerical Methods for the Simulation and Control of Variable Density Multiphase Flows Governed by Diffuse Interface Models ⋮ Cahn-Hilliard phase field theory coupled to mechanics: fundamentals, numerical implementation and application to topology optimization ⋮ Shape and topology optimization involving the eigenvalues of an elastic structure: a multi-phase-field approach ⋮ Topology optimization of multiple anisotropic materials, with application to self-assembling diblock copolymers ⋮ Graded-material design based on phase-field and topology optimization ⋮ Sharp Interface Limit for a Phase Field Model in Structural Optimization ⋮ Numerical Approximation of Phase Field Based Shape and Topology Optimization for Fluids

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