Topology optimization of incompressible media using mixed finite elements

DOI10.1016/j.cma.2007.02.013zbMath1173.74372OpenAlexW1985503928MaRDI QIDQ1033237

Paolo Venini, Matteo Bruggi

Publication date: 6 November 2009

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.2007.02.013

zbMATH Keywords

mixed finite elementstopology optimizationincompressible media

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Topological methods for optimization problems in solid mechanics (74P15)

Related Items (13)

Polygonal composite elements for stress-constrained topology optimization of nearly incompressible materials ⋮ On the virtual element method for topology optimization on polygonal meshes: a numerical study ⋮ Stress-based topology optimization method for steady-state fluid-structure interaction problems ⋮ Topology optimization method with finite elements based on the \(k-\varepsilon\) turbulence model ⋮ Topology optimization for turbulent flow with Spalart-Allmaras model ⋮ Brittle and ductile failure constraints of stress-based topology optimization method for fluid-structure interactions ⋮ An alternative truly-mixed formulation to solve pressure load problems in topology optimization ⋮ Space-time topology optimization for one-dimensional wave propagation ⋮ Modeling cohesive crack growth via a truly-mixed formulation ⋮ P1-nonconforming quadrilateral finite element for topology optimization ⋮ A guide to the finite and virtual element methods for elasticity ⋮ Eigenvalue-based optimization of incompressible media using mixed finite elements with application to isolation devices ⋮ Topological derivative-based topology optimization of incompressible structures using mixed formulations

Uses Software

• PARDISO

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Topology optimization of channel flow problems
• On fast factorization pivoting methods for sparse symmetric indefinite systems
• Topology optimization using a mixed formulation: an alternative way to solve pressure load problems
• Generating optimal topologies in structural design using a homogenization method
• Some equilibrium finite element methods for two-dimensional elasticity problems
• Material interpolation schemes in topology optimization
• A new class of extremal composites
• Topology optimization with design-dependent loads
• Some convergence results in perimeter-controlled topology optimization
• Topology optimization of acoustic–structure interaction problems using a mixed finite element formulation
• The method of moving asymptotes—a new method for structural optimization
• PEERS: A new mixed finite element for plane elasticity
• Mixed and Hybrid Finite Element Methods
• Solutions to shape and topology eigenvalue optimization problems using a homogenization method
• Topology optimization of fluids in Stokes flow
• Numerical methods for the topology optimization of structures that exhibit snap-through
• On the Finite Element Method for Mixed Variational Inequalities Arising in Elastoplasticity
• Topology and shape optimization for elastoplastic structural response.
• Topology optimization of nonlinear elastic structures and compliant mechanisms

This page was built for publication: Topology optimization of incompressible media using mixed finite elements