Large strain phase-field-based multi-material topology optimization

DOI10.1002/nme.4962zbMath1352.74251OpenAlexW1931942673MaRDI QIDQ2952855

Ristinmaa, Matti, Niklas Ivarsson, Mathias Wallin

Publication date: 30 December 2016

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.4962

zbMATH Keywords

finite strainstopology optimizationmulti-material

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Topological methods for optimization problems in solid mechanics (74P15)

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A level set-based optimized design of multi-material compliant mechanisms considering stress constraints ⋮ Stiffness and strength topology optimization for bi‐disc systems based on dual sequential quadratic programming ⋮ Integrated multi-material and multi-scale optimization of compliant structure with embedded movable piezoelectric actuators ⋮ Topology optimization of bistable elastic structures -- an application to logic gates ⋮ Multi-material continuum topology optimization with arbitrary volume and mass constraints ⋮ An incremental form interpolation model together with the Smolyak method for multi-material topology optimization ⋮ Adaptive multi-material topology optimization with hyperelastic materials under large deformations: a virtual element approach ⋮ Stiffness optimization of non-linear elastic structures

Cites Work

• Unnamed Item
• Unnamed Item
• Optimal topologies derived from a phase-field method
• Topology optimization of hyperelastic bodies including non-zero prescribed displacements
• On compliance and buckling objective functions in topology optimization of snap-through problems
• Structural topology optimization based on non-local shepard interpolation of density field
• Multimaterial structural topology optimization with a generalized Cahn-Hilliard model of multiphase transition
• A topology optimization method for geometrically nonlinear structures with meshless analysis and independent density field interpolation
• Materials with prescribed constitutive parameters: An inverse homogenization problem
• Material interpolation schemes in topology optimization
• Boundary effects in a phase-field approach to topology optimization
• Shape and topology optimization based on the phase field method and sensitivity analysis
• Role of plasticity on indentation behavior: relations between surface and subsurface responses
• Topology synthesis of large-displacement compliant mechanisms
• Filters in topology optimization based on Helmholtz-type differential equations
• Howard's algorithm in a phase-field topology optimization approach
• Phase-field Approaches to Structural Topology Optimization
• A phase-field model for compliance shape optimization in nonlinear elasticity
• Some Convergence Results for Howard's Algorithm
• Design-dependent loads in topology optimization
• An element removal and reintroduction strategy for the topology optimization of structures and compliant mechanisms
• Numerical methods for the topology optimization of structures that exhibit snap-through
• Phase‐Field Relaxation of Topology Optimization with Local Stress Constraints
• Topology optimization of nonlinear elastic structures and compliant mechanisms
• Topology optimization using regularized intermediate density control

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