On micro-to-macro connections in domain decomposition multiscale methods
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Publication:695889
DOI10.1016/j.cma.2012.03.022zbMath1253.74093OpenAlexW2072743133MaRDI QIDQ695889
Oriol Lloberas-Valls, Daniel J. Rixen, Lambertus Johannes Sluys, Angelo Simone
Publication date: 17 December 2012
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.2012.03.022
domain decomposition methodsstrain localizationmultiscale analysismicroquasi-brittle materialsmacro connection
Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (12)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Homogenization-based multiscale crack modelling: from micro-diffusive damage to macro-cracks
- Domain decomposition techniques for the efficient modeling of brittle heterogeneous materials
- Multiscale cohesive failure modeling of heterogeneous adhesives
- Coupled-volume multi-scale modelling of quasi-brittle material
- An introduction to computational micromechanics.
- Non-overlapping domain decomposition methods in structural mechanics
- Robust FETI-DP methods for heterogeneous three dimensional elasticity problems
- The variational multiscale method -- a paradigm for computational mechanics
- A multilevel finite element method (FE\(^{2}\)) to describe the response of highly nonlinear structures using generalized continua.
- Simulation of the multi-scale convergence in computational homogenization approaches
- \(FE^2\) multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials
- A numerical method for computing the overall response of nonlinear composites with complex microstructure
- Interface element method (IEM) for a partitioned system with non-matching interfaces
- Computational micro-to-macro transitions of discretized microstructures undergoing small strains
- The mortar finite element method with Lagrange multipliers
- Multiscale modeling of concrete. From mesoscale to macroscale
- Elastic properties of reinforced solids: Some theoretical principles
- Domain decomposition methods for large linearly elliptic three-dimensional problems
- Multiscale domain decomposition analysis of quasi-brittle heterogeneous materials
- Multi-scale domain decomposition method for large-scale structural analysis with a zooming technique: Application to plate assembly
- An enhanced multi-scale approach for masonry wall computations with localization of damage
- Clustered generalized finite element methods for mesh unrefinement, non-matching and invalid meshes
- On theL2 and theH1 couplings for an overlapping domain decomposition method using Lagrange multipliers
- Locality constraints within multiscale model for non-linear material behaviour
- An Analysis of a FETI–DP Algorithm on Irregular Subdomains in the Plane
- A variational multiscale method to model crack propagation at finite strains
- Processing nonlinear multipoint constraints in the finite element method
- Domain Decomposition Methods for Problems with Partial Refinement
- 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
- Non‐conforming mesh gluing in the finite elements method
- The Arlequin method as a flexible engineering design tool
- An approach to micro-macro modeling of heterogeneous materials
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