Numerical homogenisation of gradient materials
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Publication:2080417
DOI10.1007/978-3-031-04548-6_24zbMath1496.74012OpenAlexW4285304331MaRDI QIDQ2080417
F. Schmidt, M. Krüger, Christian Hesch
Publication date: 7 October 2022
Full work available at URL: https://doi.org/10.1007/978-3-031-04548-6_24
Homogenization in equilibrium problems of solid mechanics (74Q05) Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids (74-10) Isogeometric methods applied to problems in solid mechanics (74S22)
Cites Work
- Unnamed Item
- Geometrically nonlinear higher-gradient elasticity with energetic boundaries
- A higher-order phase-field model for brittle fracture: formulation and analysis within the isogeometric analysis framework
- Numerical identification procedure between a micro-Cauchy model and a macro-second gradient model for planar pantographic structures
- Isogeometric analysis of 2D gradient elasticity
- Isogeometric shell analysis: the Reissner-Mindlin shell
- Isogeometric shell analysis with Kirchhoff-Love elements
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- A new view on boundary conditions in the grioli-Koiter-Mindlin-toupin indeterminate couple stress model
- Two-scale computational homogenization of electro-elasticity at finite strains
- An isogeometric collocation approach for Bernoulli-Euler beams and Kirchhoff plates
- Two-scale homogenization of electromechanically coupled boundary value problems
- Variational phase-field formulation of non-linear ductile fracture
- A strain-gradient formulation for fiber reinforced polymers: hybrid phase-field model for porous-ductile fracture
- Multidimensional coupling: a variationally consistent approach to fiber-reinforced materials
- A multi-field finite element approach for the modelling of fibre-reinforced composites with fibre-bending stiffness
- Isogeometric analysis of fiber reinforced composites using Kirchhoff-Love shell elements
- Isogeometric analysis and hierarchical refinement for higher-order phase-field models
- Multi-scale second-order computational homogenization of multi-phase materials: a nested finite element solution strategy
- Elastic properties of reinforced solids: Some theoretical principles
- Isogeometric analysis of the Cahn-Hilliard phase-field model
- Multi‐scale constitutive modelling of heterogeneous materials with a gradient‐enhanced computational homogenization scheme
- On constitutive macro-variables for heterogeneous solids at finite strain
