Adaptive hierarchical refinement of NURBS in cohesive fracture analysis
From MaRDI portal
Publication:6557532
DOI10.1002/nme.5600zbMath1540.74121MaRDI QIDQ6557532
Unnamed Author, Erik Jan Lingen, René de Borst
Publication date: 18 June 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Numerical computation using splines (65D07) 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 (10)
Energy conservation during remeshing in the analysis of dynamic fracture ⋮ Computational morphogenesis: morphologic constructions using polygonal discretizations ⋮ Extended isogeometric analysis for cohesive fracture ⋮ Adaptive isogeometric analysis for phase-field modeling of anisotropic brittle fracture ⋮ X-IGALME: isogeometric analysis extended with local maximum entropy for fracture analysis ⋮ Discrete fracture analysis using locally refined T-splines ⋮ Phase-field modelling of cohesive interface failure ⋮ The role of Bézier extraction in adaptive isogeometric analysis: local refinement and hierarchical refinement ⋮ Locally refined T-splines ⋮ An extended isogeometric collocation method for fracture analysis
Cites Work
- Unnamed Item
- An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces
- A hierarchical approach to adaptive local refinement in isogeometric analysis
- Local refinement of analysis-suitable T-splines
- THB-splines: The truncated basis for hierarchical splines
- Strongly stable bases for adaptively refined multilevel spline spaces
- Goal-adaptive isogeometric analysis with hierarchical splines
- Isogeometric spline forests
- A subdivision-based implementation of the hierarchical b-spline finite element method
- Isogeometric analysis of 2D gradient elasticity
- Isogeometric shell analysis with Kirchhoff-Love elements
- A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits
- A phase-field description of dynamic brittle fracture
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- The variational approach to fracture
- The simulation of dynamic crack propagation using the cohesive segments method
- Geometrical and interfacial nonlinearities in the analysis of delamination in composites
- Computational modelling of impact damage in brittle materials
- A cohesive segments method for the simulation of crack growth
- Numerical experiments in revisited brittle fracture
- A numerical assessment of phase-field models for brittle and cohesive fracture: \(\Gamma\)-convergence and stress oscillations
- On the similarities and differences between classical hierarchical, truncated hierarchical and LR B-splines
- Hierarchical T-splines: analysis-suitability, Bézier extraction, and application as an adaptive basis for isogeometric analysis
- Image-based goal-oriented adaptive isogeometric analysis with application to the micro-mechanical modeling of trabecular bone
- Revisiting brittle fracture as an energy minimization problem
- Powell-Sabin B-splines for smeared and discrete approaches to fracture in quasi-brittle materials
- Gradient damage \textit{vs} phase-field approaches for fracture: similarities and differences
- Isogeometric analysis of the Cahn-Hilliard equation -- a convergence study
- Shape optimisation with multiresolution subdivision surfaces and immersed finite elements
- Bézier extraction and adaptive refinement of truncated hierarchical NURBS
- A NURBS based Galerkin approach for the analysis of solids in boundary representation
- NURBS- and T-spline-based isogeometric cohesive zone modeling of interface debonding
- On adaptive refinement techniques in multi-field problems including cohesive fracture
- Hybrid collocation-Galerkin approach for the analysis of surface represented 3D-solids employing SB-FEM
- Isogeometric analysis of the Cahn-Hilliard phase-field model
- Weighted Extended B-Spline Approximation of Dirichlet Problems
- A new method for modelling cohesive cracks using finite elements
- Adaptive isogeometric methods with hierarchical splines: Error estimator and convergence
- An isogeometric analysis approach to gradient damage models
- Isogeometric finite element data structures based on Bézier extraction of NURBS
- An isogeometric approach to cohesive zone modeling
- Isogeometric finite element data structures based on Bézier extraction of T-splines
- A phase-field model for cohesive fracture
- An isogeometric analysis Bézier interface element for mechanical and poromechanical fracture problems
- Adaptive refinement of hierarchical B-spline finite elements with an efficient data transfer algorithm
- On the numerical integration of isogeometric interface elements
- Powell-Sabin B-splines and unstructured standard T-splines for the solution of the Kirchhoff-Love plate theory exploiting Bézier extraction
- Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations
- The extended/generalized finite element method: An overview of the method and its applications
- Mesh adaptation and transfer schemes for discrete fracture propagation in porous materials
- Elastic crack growth in finite elements with minimal remeshing
- Discrete vs smeared crack models for concrete fracture: bridging the gap
- On the numerical integration of interface elements
- A consistent geometrically non-linear approach for delamination
- A finite element method for crack growth without remeshing
- On subdivision schemes generalizing uniform B-spline surfaces of arbitrary degree
- Isogeometric analysis of fluid-saturated porous media including flow in the cracks
This page was built for publication: Adaptive hierarchical refinement of NURBS in cohesive fracture analysis
