Numerical homogenization of hybrid metal foams using the finite cell method

DOI10.1016/j.camwa.2015.05.009zbMath1443.74251OpenAlexW768066628MaRDI QIDQ2006452

Alexander Düster, Meysam Joulaian, Stephan Heinze

Publication date: 11 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2015.05.009

zbMATH Keywords

numerical homogenizationfinite cell methodwindow methodAl/Ni foamhybrid metal foams

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Homogenization in equilibrium problems of solid mechanics (74Q05)

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Cites Work

• Geometric modeling, isogeometric analysis and the finite cell method
• The finite cell method for linear thermoelasticity
• Plasticity of pressure-sensitive materials
• Local enrichment of the finite cell method for problems with material interfaces
• High order X-FEM and levelsets for complex microstructures: uncoupling geometry and approximation
• Numerical integration of polynomials and discontinuous functions on irregular convex polygons and polyhedrons
• Finite element analysis on implicitly defined domains: an accurate representation based on arbitrary parametric surfaces
• Shell finite cell method: a high order fictitious domain approach for thin-walled structures
• Introduction to computational micromechanics
• Fixed-point fluid-structure interaction solvers with dynamic relaxation
• \(pq\)-adaptive solid finite elements for three-dimensional plates and shells
• Numerical homogenization of hardened cement paste
• The finite cell method for three-dimensional problems of solid mechanics
• Finite cell method. \(h\)- and \(p\)-extension for embedded domain problems in solid mechanics
• On the optimality of the window method in computational homogenization
• Order relationships for boundary conditions effect in heterogeneous bodies smaller than the representative volume
• Small and large deformation analysis with the \(p\)- and B-spline versions of the finite cell method
• Numerical homogenization of heterogeneous and cellular materials utilizing the finite cell method
• Cellular and porous materials in structures and processes.
• Multi-level \(hp\)-adaptivity: high-order mesh adaptivity without the difficulties of constraining hanging nodes
• The p‐version of the finite element method for three‐dimensional curved thin walled structures
• Uncertainty quantification in homogenization of heterogeneous microstructures modeled by XFEM
• The hp-d -adaptive finite cell method for geometrically nonlinear problems of solid mechanics
• Simple multidimensional integration of discontinuous functions with application to level set methods
• Highly accurate surface and volume integration on implicit domains by means of moment-fitting
• PERFORMANCE OF DIFFERENT INTEGRATION SCHEMES IN FACING DISCONTINUITIES IN THE FINITE CELL METHOD
• Multiscale XFEM-modelling and simulation of the inelastic material behaviour of textile-reinforced polymers
• The extended/generalized finite element method: An overview of the method and its applications
• On the elimination of quadrature subcells for discontinuous functions in the eXtended Finite-Element Method
• Higher-order XFEM for curved strong and weak discontinuities
• THE PARTITION OF UNITY METHOD
• A finite element method for crack growth without remeshing
• The generalized finite element method
• Modeling holes and inclusions by level sets in the extended finite element method
• Non-standard bone simulation: interactive numerical analysis by computational steering