Powell-Sabin B-splines for smeared and discrete approaches to fracture in quasi-brittle materials
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Publication:2308562
DOI10.1016/j.cma.2016.04.023zbMath1436.74071OpenAlexW2345651109MaRDI QIDQ2308562
Julien Vignollet, Stefan May, René de Borst
Publication date: 3 April 2020
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.2016.04.023
Numerical computation using splines (65D07) Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05)
Related Items (5)
Feature-preserving rational Bézier triangles for isogeometric analysis of higher-order gradient damage models ⋮ A finite element framework based on bivariate simplex splines on triangle configurations ⋮ Phase-field modelling of cohesive fracture ⋮ A stabilized Powell-Sabin finite-element method for the 2D Euler equations in supersonic regime ⋮ The use of Powell-Sabin B-splines in a higher-order phase-field model for crack kinking
Uses Software
Cites Work
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- Robustness of isogeometric structural discretizations under severe mesh distortion
- Isogeometric analysis with Powell-Sabin splines for advection-diffusion-reaction problems
- Numerical solution of partial differential equations with Powell-Sabin splines
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- A two-scale model for fluid flow in an unsaturated porous medium with cohesive cracks
- Two tetrahedral \(C^1\) cubic macro elements
- A trivariate Powell-Sabin interpolant
- Strain-based transient-gradient damage model for failure analyses
- Computational modelling of impact damage in brittle materials
- On calculating normalized Powell-Sabin B-splines
- A cohesive segments method for the simulation of crack growth
- A new method for modelling cohesive cracks using finite elements
- An isogeometric analysis approach to gradient damage models
- An isogeometric approach to cohesive zone modeling
- The role of the Bézier extraction operator for T-splines of arbitrary degree: linear dependencies, partition of unity property, nesting behaviour and local refinement
- Powell-Sabin B-splines and unstructured standard T-splines for the solution of the Kirchhoff-Love plate theory exploiting Bézier extraction
- A two-scale approach for fluid flow in fractured porous media
- Computation of post-bifurcation and post-failure behavior of strain-softening solids
- Piecewise Quadratic Approximations on Triangles
- Elastic crack growth in finite elements with minimal remeshing
- GRADIENT ENHANCED DAMAGE FOR QUASI-BRITTLE MATERIALS
- Comparison of nonlocal approaches in continuum damage mechanics
- Energy release control for numerical simulations of failure in quasi-brittle solids
- A Simple Mesh Generator in MATLAB
- Discrete vs smeared crack models for concrete fracture: bridging the gap
- A consistent geometrically non-linear approach for delamination
- A finite element method for crack growth without remeshing
- A critical comparison of nonlocal and gradient-enhanced softening continua
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