Topological derivative-based topology optimization of incompressible structures using mixed formulations
From MaRDI portal
Publication:2072701
DOI10.1016/j.cma.2021.114438OpenAlexW4205432777MaRDI QIDQ2072701
Ramon Codina, Henning Venghaus, Inocencio Castañar, Joan Baiges
Publication date: 26 January 2022
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.2021.114438
topology optimizationstabilization methodstopological derivativeincompressible elasticitymixed interpolations
Related Items (1)
Artificial neural network based correction for reduced order models in computational fluid mechanics
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
- Mixed stabilized finite element methods in nonlinear solid mechanics. I: Formulation
- Mixed stabilized finite element methods in nonlinear solid mechanics. II: Strain localization
- Topology optimization of incompressible media using mixed finite elements
- Topology optimization using a mixed formulation: an alternative way to solve pressure load problems
- A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
- A new family of stable elements for nearly incompressible elasticity based on a mixed Petrov-Galerkin finite element formulation
- Generating optimal topologies in structural design using a homogenization method
- The variational multiscale method -- a paradigm for computational mechanics
- Material interpolation schemes in topology optimization
- A consistent relaxation of optimal design problems for coupling shape and topological derivatives
- A mixed three-field FE formulation for stress accurate analysis including the incompressible limit
- Topological derivatives of shape functionals. I: Theory in singularly perturbed geometrical domains
- Topological derivatives of shape functionals. II: First-order method and applications
- Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods
- Stabilized finite element approximation of transient incompressible flows using orthogonal subscales
- A stabilized formulation for incompressible elasticity using linear displacement and pressure interpolations.
- Topological derivatives in shape optimization
- Large-scale stochastic topology optimization using adaptive mesh refinement and coarsening through a two-level parallelization scheme
- Variational approach to relaxed topological optimization: closed form solutions for structural problems in a sequential pseudo-time framework
- A stabilized mixed finite element approximation for incompressible finite strain solid dynamics using a total Lagrangian formulation
- Topological sensitivity analysis in heterogeneous anisotropic elasticity problem. Theoretical and computational aspects
- A new algorithm for topology optimization using a level-set method
- Error-bounds for finite element method
- Topological derivative for multi-scale linear elasticity models applied to the synthesis of microstructures
- The determination of the elastic field of an ellipsoidal inclusion, and related problems
- The elastic field outside an ellipsoidal inclusion
- The method of moving asymptotes—a new method for structural optimization
- The mechanics of rubber elasticity
- Application of a weighted sensitivity approach for topology optimization analysis of time dependent problems based on the density method
- Performance and Scalability of the Block Low-Rank Multifrontal Factorization on Multicore Architectures
- Finite Element Approximation of the Three-Field Formulation of the Stokes Problem Using Arbitrary Interpolations
- A stabilized finite element method for generalized stationary incompressible flows
This page was built for publication: Topological derivative-based topology optimization of incompressible structures using mixed formulations