Investigations on the influence of the boundary conditions when computing the effective crack energy of random heterogeneous materials using fast marching methods
From MaRDI portal
Publication:2692886
DOI10.1007/s00466-022-02241-3OpenAlexW4308280830MaRDI QIDQ2692886
Matti Schneider, Jonas Lendvai, Felix Ernesti
Publication date: 17 March 2023
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-022-02241-3
boundary conditionsrepresentative volume elementstochastic homogenizationfast marching methodeffective crack energy
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A note on two problems in connexion with graphs
- An introduction to computational micromechanics.
- When and how do cracks propagate?
- A dual algorithm for the solution of nonlinear variational problems via finite element approximation
- Approximation of the effective conductivity of ergodic media by periodization
- Determination of the size of the representative volume element for random composites: Statistical and numerical approach.
- Approximations of effective coefficients in stochastic homogenization
- Numerical experiments in revisited brittle fracture
- A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites.
- Representative volume element size for elastic composites: A numerical study
- Graph theory. Favorite conjectures and open problems -- 2
- Fast-marching methods for curvature penalized shortest paths
- A numerical method for computing the overall response of nonlinear composites with complex microstructure
- A numerical approximation to the elastic properties of sphere-reinforced composites.
- Revisiting brittle fracture as an energy minimization problem
- Computing the effective crack energy of heterogeneous and anisotropic microstructures via anisotropic minimal surfaces
- A FFT solver for variational phase-field modeling of brittle fracture
- Homogenization of interfacial energies and construction of plane-like minimizers in periodic media through a cell problem
- Fast implicit solvers for phase-field fracture problems on heterogeneous microstructures
- Homogenization of free discontinuity problems
- Stochastic homogenisation of free-discontinuity problems
- Modelling crack growth by level sets in the extended finite element method
- The Power Laws of Geodesics in Some Random Sets with Dilute Concentration of Inclusions
- Optimal approximations by piecewise smooth functions and associated variational problems
- A General Framework for a Class of First Order Primal-Dual Algorithms for Convex Optimization in Imaging Science
- The extended/generalized finite element method: An overview of the method and its applications
- Combinatorial Continuous Maximum Flow
- Approximation of functional depending on jumps by elliptic functional via t-convergence
- Three-dimensional non-planar crack growth by a coupled extended finite element and fast marching method
- Maximal flow through a domain
- Computation of limit loads
- Solution of Interface Problems by Homogenization. I
- The Theory of Composites
- Crack propagation in continuous media
- A fast marching level set method for monotonically advancing fronts.
- A finite element method for crack growth without remeshing
- Morphological Models of Random Structures
- VI. The phenomena of rupture and flow in solids
This page was built for publication: Investigations on the influence of the boundary conditions when computing the effective crack energy of random heterogeneous materials using fast marching methods