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A high-fidelity isogeometric simulation methodology for fracture in porous media

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Publications

Geometrically nonlinear extended isogeometric analysis for cohesive fracture with applications to delamination in composites

Author(s): Farshid Fathi, René de Borst
Published in: Finite Elements in Analysis and Design, Issue 191, 2021, Page(s) 103527, ISSN 0168-874X
DOI: 10.1016/j.finel.2021.103527

Convergence in non‐associated plasticity and fracture propagation for standard, rate‐dependent, and Cosserat continua

Author(s): Tim Hageman, Sepideh Alizadeh Sabet, René Borst
Published in: International Journal for Numerical Methods in Engineering, Issue 122/3, 2021, Page(s) 777-795, ISSN 0029-5981
DOI: 10.1002/nme.6561

Fluid flow in fractured and fracturing porous media: A unified view

Author(s): René de Borst
Published in: Mechanics Research Communications, Issue 80, 2017, Page(s) 47-57, ISSN 0093-6413
DOI: 10.1016/j.mechrescom.2016.05.004

Powell–Sabin B-splines for smeared and discrete approaches to fracture in quasi-brittle materials

Author(s): Stefan May, René de Borst, Julien Vignollet
Published in: Computer Methods in Applied Mechanics and Engineering, Issue 307, 2016, Page(s) 193-214, ISSN 0045-7825
DOI: 10.1016/j.cma.2016.04.023

Isogeometric analysis of fluid-saturated porous media including flow in the cracks

Author(s): J. Vignollet, S. May, R. de Borst
Published in: International Journal for Numerical Methods in Engineering, Issue 108/9, 2016, Page(s) 990-1006, ISSN 0029-5981
DOI: 10.1002/nme.5242

A classification of poromechanical interface elements

Author(s): René de Borst
Published in: Journal of Modeling in Mechanics and Materials, Issue 1/1, 2017, ISSN 2328-2355
DOI: 10.1515/jmmm-2016-0160

Adaptive hierarchical refinement of NURBS in cohesive fracture analysis

Author(s): Lin Chen, Erik Jan Lingen, René de Borst
Published in: International Journal for Numerical Methods in Engineering, Issue 112/13, 2017, Page(s) 2151-2173, ISSN 0029-5981
DOI: 10.1002/nme.5600

The role of Bézier extraction in adaptive isogeometric analysis: Local refinement and hierarchical refinement

Author(s): R. de Borst, L. Chen
Published in: International Journal for Numerical Methods in Engineering, Issue 113/6, 2018, Page(s) 999-1019, ISSN 0029-5981
DOI: 10.1002/nme.5696

Adaptive refinement of hierarchical T-splines

Author(s): L. Chen, R. de Borst
Published in: Computer Methods in Applied Mechanics and Engineering, Issue 337, 2018, Page(s) 220-245, ISSN 0045-7825
DOI: 10.1016/j.cma.2018.03.032

Locally Refined T-splines

Author(s): L. Chen, R. de Borst
Published in: International Journal for Numerical Methods in Engineering, Issue 114/6, 2018, Page(s) 637-659, ISSN 0029-5981
DOI: 10.1002/nme.5759

Discrete fracture analysis using locally refined T-splines

Author(s): L. Chen, C. V. Verhoosel, R. de Borst
Published in: International Journal for Numerical Methods in Engineering, Issue 116/2, 2018, Page(s) 117-140, ISSN 0029-5981
DOI: 10.1002/nme.5917

Phase-field modelling of interface failure in brittle materials

Author(s): Arne Claus Hansen-Dörr, René de Borst, Paul Hennig, Markus Kästner
Published in: Computer Methods in Applied Mechanics and Engineering, Issue 346, 2019, Page(s) 25-42, ISSN 0045-7825
DOI: 10.1016/j.cma.2018.11.020

Cohesive fracture analysis using Powell-Sabin B-splines

Author(s): Lin Chen, René de Borst
Published in: International Journal for Numerical and Analytical Methods in Geomechanics, Issue 43, 2019, Page(s) 625-640, ISSN 0363-9061
DOI: 10.1002/nag.2882

The Benefits of Using a Consistent Tangent Operator for Viscoelastoplastic Computations in Geodynamics

Author(s): Thibault Duretz, Alban Souche, René Borst, Laetitia Le Pourhiet
Published in: Geochemistry, Geophysics, Geosystems, Issue 19, 2018, Page(s) 4904 – 4924, ISSN 1525-2027
DOI: 10.1029/2018gc007877

Implications of single or multiple pressure degrees of freedom at fractures in fluid-saturated porous media

Author(s): K.M. Pervaiz Fathima, René de Borst
Published in: Engineering Fracture Mechanics, Issue 213, 2019, Page(s) 1-20, ISSN 0013-7944
DOI: 10.1016/j.engfracmech.2019.03.037

Isogeometric analysis of fracture propagation in saturated porous media due to a pressurised non-Newtonian fluid

Author(s): Tim Hageman, K.M. Pervaiz Fathima, René de Borst
Published in: Computers and Geotechnics, Issue 112, 2019, Page(s) 272-283, ISSN 0266-352X
DOI: 10.1016/j.compgeo.2019.04.030

Flow of non‐Newtonian fluids in fractured porous media: Isogeometric vs standard finite element discretisation

Author(s): Tim Hageman, René Borst
Published in: International Journal for Numerical and Analytical Methods in Geomechanics, Issue 43/11, 2019, Page(s) 2020-2037, ISSN 0363-9061
DOI: 10.1002/nag.2948

Structural softening, mesh dependence, and regularisation in non‐associated plastic flow

Author(s): Sepideh Alizadeh Sabet, René Borst
Published in: International Journal for Numerical and Analytical Methods in Geomechanics, Issue 43/13, 2019, Page(s) 2170-2183, ISSN 0363-9061
DOI: 10.1002/nag.2973

A convergence study of phase-field models for brittle fracture

Author(s): Thomas Linse, Paul Hennig, Markus Kästner, René de Borst
Published in: Engineering Fracture Mechanics, Issue 184, 2017, Page(s) 307-318, ISSN 0013-7944
DOI: 10.1016/j.engfracmech.2017.09.013

Energy conservation during remeshing in the analysis of dynamic fracture

Author(s): Lin Chen, Bin Li, René Borst
Published in: International Journal for Numerical Methods in Engineering, Issue 120/4, 2019, Page(s) 433-446, ISSN 0029-5981
DOI: 10.1002/nme.6142

Mesh bias and shear band inclination in standard and non-standard continua

Author(s): Sepideh Alizadeh Sabet, René de Borst
Published in: Archive of Applied Mechanics, Issue 89/12, 2019, Page(s) 2577-2590, ISSN 0939-1533
DOI: 10.1007/s00419-019-01593-2

Finite Thickness of Shear Bands in Frictional Viscoplasticity and Implications for Lithosphere Dynamics

Author(s): Thibault Duretz, René Borst, Laetitia Le Pourhiet
Published in: Geochemistry, Geophysics, Geosystems, Issue 20/11, 2019, Page(s) 5598-5616, ISSN 1525-2027
DOI: 10.1029/2019gc008531

On viscoplastic regularisation of strain‐softening rocks and soils

Author(s): René Borst, Thibault Duretz
Published in: International Journal for Numerical and Analytical Methods in Geomechanics, Issue 44/6, 2020, Page(s) 890-903, ISSN 0363-9061
DOI: 10.1002/nag.3046

A convergence study of monolithic simulations of flow and deformation in fractured poroelastic media

Author(s): Tim Hageman, René Borst
Published in: International Journal for Numerical Methods in Engineering, Issue 121/3, 2019, Page(s) 393-410, ISSN 0029-5981
DOI: 10.1002/nme.6213

Toward Robust and Predictive Geodynamic Modeling: The Way Forward in Frictional Plasticity

Author(s): Thibault Duretz, René de Borst, Philippe Yamato, Laetitia Le Pourhiet
Published in: Geophysical Research Letters, Issue 47/5, 2020, ISSN 0094-8276
DOI: 10.1029/2019gl086027

Phase-field modeling of crack branching and deflection in heterogeneous media

Author(s): Arne Claus Hansen-Dörr, Franz Dammaß, René de Borst, Markus Kästner
Published in: Engineering Fracture Mechanics, Issue 232, 2020, Page(s) 107004, ISSN 0013-7944
DOI: 10.1016/j.engfracmech.2020.107004

Considerations on a phase‐field model for adhesive fracture

Author(s): Yousef Ghaffari Motlagh, René de Borst
Published in: International Journal for Numerical Methods in Engineering, Issue 121, 2020, Page(s) 2946 - 2963, ISSN 0029-5981
DOI: 10.1002/nme.6341

Sub-grid models for multiphase fluid flow inside fractures in poroelastic media

Author(s): Tim Hageman, René de Borst
Published in: Journal of Computational Physics, Issue 414, 2020, Page(s) 109481, ISSN 0021-9991
DOI: 10.1016/j.jcp.2020.109481

Extended isogeometric analysis for cohesive fracture

Author(s): Farshid Fathi, Lin Chen, René Borst
Published in: International Journal for Numerical Methods in Engineering, Issue 121, 2020, Page(s) 4584 - 4613, ISSN 0029-5981
DOI: 10.1002/nme.6453

The use of Powell-Sabin B-Splines in a higher-order phase-field model for crack kinking

Author(s): Lin Chen, Bin Li, René de Borst
Published in: Computational Mechanics, Issue 67/1, 2021, Page(s) 127-137, ISSN 0178-7675
DOI: 10.1007/s00466-020-01923-0

Adaptive isogeometric analysis for phase‐field modeling of anisotropic brittle fracture

Author(s): Lin Chen, Bin Li, René Borst
Published in: International Journal for Numerical Methods in Engineering, Issue 121, 2020, Page(s) 4630 - 4648, ISSN 0029-5981
DOI: 10.1002/nme.6457