Domain decomposition techniques for the efficient modeling of brittle heterogeneous materials

DOI10.1016/j.cma.2011.01.008zbMath1228.74089OpenAlexW2053094297MaRDI QIDQ653702

Oriol Lloberas-Valls, Lambertus Johannes Sluys, Angelo Simone, Daniel J. Rixen

Publication date: 19 December 2011

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.2011.01.008

zbMATH Keywords

domain decomposition methodsstrain localizationbrittle materialsFETIdamage predictor

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element methods applied to problems in solid mechanics (74S05) Brittle damage (74R05)

Related Items (15)

Multiscale domain decomposition analysis of quasi-brittle heterogeneous materials ⋮ Regularization of first order computational homogenization for multiscale analysis of masonry structures ⋮ Reduced order variational multiscale enrichment method for thermo-mechanical problems ⋮ A domain decomposition approach for the simulation of fracture phenomena in polycrystalline microsystems ⋮ Reduced order variational multiscale enrichment method for elasto-viscoplastic problems ⋮ Bridging multiple structural scales with a generalized finite element method ⋮ The domain interface method in non-conforming domain decomposition multifield problems ⋮ Variational multiscale enrichment method with mixed boundary conditions for modeling diffusion and deformation problems ⋮ On micro-to-macro connections in domain decomposition multiscale methods ⋮ A multiscale method for periodic structures using domain decomposition and ECM-hyperreduction ⋮ Domain Decomposition and Parallel Direct Solvers as an Adaptive Multiscale Strategy for Damage Simulation in Quasi-Brittle Materials ⋮ An overlapping domain decomposition preconditioning method for monolithic solution of shear bands ⋮ Enabling fast, stable and accurate peridynamic computations using multi-time-step integration ⋮ An adaptive concurrent multiscale model for concrete based on coupling finite elements ⋮ Variational multiscale enrichment method with mixed boundary conditions for elasto-viscoplastic problems

Uses Software

• METIS

Cites Work

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• The reduced model multiscale method (R3M) for the nonlinear homogenization of hyperelastic media at finite strains
• Reuse, recycle, reduce (3R) - strategies for the calculation of transient magnetic fields
• Non-overlapping domain decomposition methods in structural mechanics
• Strain-based transient-gradient damage model for failure analyses
• From continuous to discontinuous failure in a gradient-enhanced continuum damage model.
• Iterative accelerating algorithms with Krylov subspaces for the solution to large-scale nonlinear problems
• Incremental spectral preconditioners for sequences of linear systems
• Domain decomposition methods for large linearly elliptic three-dimensional problems
• High-performance parallel simulation of structure degradation using non-local damage models
• A variational multiscale method to model crack propagation at finite strains
• A method of finite element tearing and interconnecting and its parallel solution algorithm
• A simple and efficient extension of a class of substructure based preconditioners to heterogeneous structural mechanics problems
• GRADIENT ENHANCED DAMAGE FOR QUASI-BRITTLE MATERIALS
• Comparison of nonlocal approaches in continuum damage mechanics
• Application of the FETI method to ASCI problems?scalability results on 1000 processors and discussion of highly heterogeneous problems
• Coupling of substructures for dynamic analyses.
• Methods of conjugate gradients for solving linear systems

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