A B-spline based gradient-enhanced micropolar implicit material point method for large localized inelastic deformations

Neuner, M.; Dummer, A.; Abrari Vajari, S.; Gamnitzer, P.; Gimperlein, H.; Linder, C.; Hofstetter, G.

doi:10.1016/j.cma.2024.117291

Title: A B-spline based gradient-enhanced micropolar implicit material point method for large localized inelastic deformations

Journal Article · 01 November 2024 · Computer Methods in Applied Mechanics and Engineering

DOI: https://doi.org/10.1016/j.cma.2024.117291 · OSTI ID:2439312

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; Hofstetter, G.

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Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0003962

OSTI ID:: 2439312

Journal Information:: Computer Methods in Applied Mechanics and Engineering, Journal Name: Computer Methods in Applied Mechanics and Engineering Journal Issue: C Vol. 431; ISSN 0045-7825

Publisher:: ElsevierCopyright Statement

Country of Publication:: Netherlands

Language:: English

References (71)

Gradient Enhanced Damage for Quasi-Brittle Materials Peerlings, R. H. J.; De Borst, R.; Brekelmans, W. A. M. International Journal for Numerical Methods in Engineering, Vol. 39, Issue 19 https://doi.org/10.1002/(SICI)1097-0207(19961015)39:19<3391::AID-NME7>3.0.CO;2-D	journal	October 1996
Bifurcations in finite element models with a non-associated flow law De Borst, R. International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 12, Issue 1 https://doi.org/10.1002/nag.1610120107	journal	January 1988
Evaluation of material point method for use in geotechnics Solowski, W. T.; Sloan, S. W. International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 39, Issue 7, 685-701 https://doi.org/10.1002/nag.2321	journal	November 2014
The particle finite element method: a powerful tool to solve incompressible flows with free-surfaces and breaking waves Idelsohn, S. R.; Oñate, E.; Pin, F. Del International Journal for Numerical Methods in Engineering, Vol. 61, Issue 7 https://doi.org/10.1002/nme.1096	journal	September 2004
Analysis and reduction of quadrature errors in the material point method (MPM) Steffen, Michael; Kirby, Robert M.; Berzins, Martin International Journal for Numerical Methods in Engineering, Vol. 76, Issue 6 https://doi.org/10.1002/nme.2360	journal	November 2008
A convected particle domain interpolation technique to extend applicability of the material point method for problems involving massive deformations Sadeghirad, A.; Brannon, R. M.; Burghardt, J. International Journal for Numerical Methods in Engineering, Vol. 86, Issue 12 https://doi.org/10.1002/nme.3110	journal	March 2011
An arbitrary order variationally consistent integration for Galerkin meshfree methods: A VARIATIONALLY CONSISTENT INTEGRATION FOR MESHFREE METHODS Chen, Jiun-Shyan; Hillman, Michael; Rüter, Marcus International Journal for Numerical Methods in Engineering, Vol. 95, Issue 5 https://doi.org/10.1002/nme.4512	journal	June 2013
Second-order convected particle domain interpolation (CPDI2) with enrichment for weak discontinuities at material interfaces: ENRICHED SECOND-ORDER CONVECTED PARTICLE DOMAIN INTERPOLATION (CPDI2) Sadeghirad, A.; Brannon, R. M.; Guilkey, J. E. International Journal for Numerical Methods in Engineering, Vol. 95, Issue 11 https://doi.org/10.1002/nme.4526	journal	July 2013
Phase-field material point method for brittle fracture: Phase-Field Material Point Method for Brittle Fracture Kakouris, E. G.; Triantafyllou, S. P. International Journal for Numerical Methods in Engineering, Vol. 112, Issue 12 https://doi.org/10.1002/nme.5580	journal	August 2017
Distillation of the material point method cell crossing error leading to a novel quadrature‐based C ₀ remedy Wilson, Peter; Wüchner, Roland; Fernando, Dilum International Journal for Numerical Methods in Engineering, Vol. 122, Issue 6 https://doi.org/10.1002/nme.6588	journal	January 2021
Extended B‐spline‐based implicit material point method Yamaguchi, Yuya; Moriguchi, Shuji; Terada, Kenjiro International Journal for Numerical Methods in Engineering, Vol. 122, Issue 7 https://doi.org/10.1002/nme.6598	journal	December 2020
Implicit time integration for the material point method: Quantitative and algorithmic comparisons with the finite element method Guilkey, J. E.; Weiss, J. A. International Journal for Numerical Methods in Engineering, Vol. 57, Issue 9 https://doi.org/10.1002/nme.729	journal	January 2003
Elastic materials with couple-stresses Toupin, R. A. Archive for Rational Mechanics and Analysis, Vol. 11, Issue 1 https://doi.org/10.1007/BF00253945	journal	January 1962
Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen Kröner, Ekkehart Archive for Rational Mechanics and Analysis, Vol. 4, Issue 1 https://doi.org/10.1007/BF00281393	journal	January 1959
Bifurcation analysis of the triaxial test on rock specimens. A theoretical model for shape and size effect Sulem, J.; Vardoulakis, I. Acta Mechanica, Vol. 83, Issue 3-4 https://doi.org/10.1007/BF01172981	journal	September 1990
The thermodynamics of elastic materials with heat conduction and viscosity Coleman, Bernard D.; Noll, Walter Archive for Rational Mechanics and Analysis, Vol. 13, Issue 1 https://doi.org/10.1007/BF01262690	journal	December 1963
Overview and applications of the reproducing Kernel Particle methods Liu, W. K.; Chen, Y.; Jun, S. Archives of Computational Methods in Engineering, Vol. 3, Issue 1 https://doi.org/10.1007/BF02736130	journal	March 1996
A stabilized mixed implicit Material Point Method for non-linear incompressible solid mechanics Iaconeta, I.; Larese, A.; Rossi, R. Computational Mechanics, Vol. 63, Issue 6 https://doi.org/10.1007/s00466-018-1647-9	journal	October 2018
A variationally consistent reproducing kernel enhanced material point method and its applications to incompressible materials Rodriguez, Cameron; Huang, Tsung-Hui Computational Mechanics, Vol. 73, Issue 3 https://doi.org/10.1007/s00466-023-02381-0	journal	September 2023
A Lagrangian reproducing kernel particle method for metal forming analysis Chen, Jiun-Shyan; Pan, C.; Roque, C. M. O. L. Computational Mechanics, Vol. 22, Issue 3 https://doi.org/10.1007/s004660050361	journal	September 1998
Elastoviscoplastic constitutive frameworks for generalized continua Forest, S.; Sievert, R. Acta Mechanica, Vol. 160, Issue 1-2 https://doi.org/10.1007/s00707-002-0975-0	journal	January 2003
Continuum hydrodynamics of dry granular flows employing multiplicative elastoplasticity Fávero Neto, Alomir H.; Borja, Ronaldo I. Acta Geotechnica, Vol. 13, Issue 5 https://doi.org/10.1007/s11440-018-0700-3	journal	August 2018
Simulation of debris flow on an instrumented test slope using an updated Lagrangian continuum particle method Fávero Neto, Alomir H.; Askarinejad, Amin; Springman, Sarah M. Acta Geotechnica, Vol. 15, Issue 10 https://doi.org/10.1007/s11440-020-00957-1	journal	April 2020
Nonconforming Dirichlet boundary conditions in implicit material point method by means of penalty augmentation Chandra, Bodhinanda; Singer, Veronika; Teschemacher, Tobias Acta Geotechnica, Vol. 16, Issue 8 https://doi.org/10.1007/s11440-020-01123-3	journal	January 2021
Fault propagation and surface rupture in geologic materials with a meshfree continuum method del Castillo, Enrique M.; Fávero Neto, Alomir H.; Borja, Ronaldo I. Acta Geotechnica, Vol. 16, Issue 8 https://doi.org/10.1007/s11440-021-01233-6	journal	July 2021
RKPM2D: an open-source implementation of nodally integrated reproducing kernel particle method for solving partial differential equations Huang, Tsung-Hui; Wei, Haoyan; Chen, Jiun-Shyan Computational Particle Mechanics, Vol. 7, Issue 2 https://doi.org/10.1007/s40571-019-00272-x	journal	August 2019
Application of a particle-in-cell method to solid mechanics Sulsky, Deborah; Zhou, Shi-Jian; Schreyer, Howard L. Computer Physics Communications, Vol. 87, Issue 1-2 https://doi.org/10.1016/0010-4655(94)00170-7	journal	May 1995
Nonlinear theory of simple micro-elastic solids—I Eringen, A. Cemal; Suhubi, E. S. International Journal of Engineering Science, Vol. 2, Issue 2 https://doi.org/10.1016/0020-7225(64)90004-7	journal	May 1964
A particle method for history-dependent materials Sulsky, D.; Chen, Z.; Schreyer, H. L. Computer Methods in Applied Mechanics and Engineering, Vol. 118, Issue 1-2 https://doi.org/10.1016/0045-7825(94)90112-0	journal	September 1994
Shear band formation in Gosford Sandstone Ord, A.; Vardoulakis, I.; Kajewski, R. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 28, Issue 5 https://doi.org/10.1016/0148-9062(91)90078-Z	journal	September 1991
The physics of plastic deformation Aifantis, Elias C. International Journal of Plasticity, Vol. 3, Issue 3 https://doi.org/10.1016/0749-6419(87)90021-0	journal	January 1987
A Lagrangian integration point finite element method for large deformation modeling of viscoelastic geomaterials Moresi, L.; Dufour, F.; Mühlhaus, H. -B. Journal of Computational Physics, Vol. 184, Issue 2 https://doi.org/10.1016/S0021-9991(02)00031-1	journal	January 2003
SPH elastic dynamics Gray, J. P.; Monaghan, J. J.; Swift, R. P. Computer Methods in Applied Mechanics and Engineering, Vol. 190, Issue 49-50 https://doi.org/10.1016/S0045-7825(01)00254-7	journal	October 2001
Reproducing Kernel Particle Methods for large deformation analysis of non-linear structures Chen, Jiun-Shyan; Pan, Chunhui; Wu, Cheng-Tang Computer Methods in Applied Mechanics and Engineering, Vol. 139, Issue 1-4 https://doi.org/10.1016/S0045-7825(96)01083-3	journal	December 1996
Localized failure analysis in elastoplastic Cosserat continua Iordache, Maria-Magdalena; Willam, Kaspar Computer Methods in Applied Mechanics and Engineering, Vol. 151, Issue 3-4 https://doi.org/10.1016/S0045-7825(97)00166-7	journal	January 1998
One-dimensional localisation studied with a second grade model Chambon, R.; Caillerie, D.; El Hassan, N. European Journal of Mechanics - A/Solids, Vol. 17, Issue 4 https://doi.org/10.1016/S0997-7538(99)80026-6	journal	July 1998
Material point method after 25 years: Theory, implementation, and applications de Vaucorbeil, Alban; Nguyen, Vinh Phu; Sinaie, Sina Advances in Applied Mechanics https://doi.org/10.1016/bs.aams.2019.11.001	book	January 2020
Material point method: Overview and challenges ahead Sołowski, Wojciech T.; Berzins, Martin; Coombs, William M. Advances in Applied Mechanics https://doi.org/10.1016/bs.aams.2020.12.002	book	January 2021
Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement Hughes, T. J. R.; Cottrell, J. A.; Bazilevs, Y. Computer Methods in Applied Mechanics and Engineering, Vol. 194, Issue 39-41 https://doi.org/10.1016/j.cma.2004.10.008	journal	October 2005
Material point method with enriched shape function for crack problems Liang, Yong; Benedek, Tamas; Zhang, Xiong Computer Methods in Applied Mechanics and Engineering, Vol. 322, 541-562 https://doi.org/10.1016/j.cma.2017.05.012	journal	May 2017
Modeling strong discontinuities in the material point method using a single velocity field Moutsanidis, Georgios; Kamensky, David; Zhang, Duan Z. Computer Methods in Applied Mechanics and Engineering, Vol. 345 https://doi.org/10.1016/j.cma.2018.11.005	journal	March 2019
On the use of domain-based material point methods for problems involving large distortion Wang, L.; Coombs, W. M.; Augarde, C. E. Computer Methods in Applied Mechanics and Engineering, Vol. 355 https://doi.org/10.1016/j.cma.2019.07.011	journal	October 2019
On Lagrangian mechanics and the implicit material point method for large deformation elasto-plasticity Coombs, William M.; Augarde, Charles E.; Brennan, Andrew J. Computer Methods in Applied Mechanics and Engineering, Vol. 358 https://doi.org/10.1016/j.cma.2019.112622	journal	January 2020
IGA-MPM: The Isogeometric Material Point Method Moutsanidis, Georgios; Long, Christopher C.; Bazilevs, Yuri Computer Methods in Applied Mechanics and Engineering, Vol. 372 https://doi.org/10.1016/j.cma.2020.113346	journal	December 2020
A finite micro-rotation material point method for micropolar solid and fluid dynamics with three-dimensional evolving contacts and free surfaces Ma, Ran; Sun, WaiChing Computer Methods in Applied Mechanics and Engineering, Vol. 391 https://doi.org/10.1016/j.cma.2021.114540	journal	March 2022
An implicit Material Point Method for micropolar solids undergoing large deformations O’Hare, Ted J.; Gourgiotis, Panos A.; Coombs, William M. Computer Methods in Applied Mechanics and Engineering, Vol. 419 https://doi.org/10.1016/j.cma.2023.116668	journal	December 2023
Robust and efficient implementation of finite strain generalized continuum models for material failure: Analytical, numerical, and automatic differentiation with hyper-dual numbers Dummer, Alexander; Neuner, Matthias; Gamnitzer, Peter Computer Methods in Applied Mechanics and Engineering, Vol. 426 https://doi.org/10.1016/j.cma.2024.116987	journal	June 2024
Development of an implicit material point method for geotechnical applications Wang, Bin; Vardon, Philip J.; Hicks, Michael A. Computers and Geotechnics, Vol. 71 https://doi.org/10.1016/j.compgeo.2015.08.008	journal	January 2016
Generalized Interpolation Material Point Method modelling of large deformation problems including strain-rate effects – Application to penetration and progressive failure problems Tran, Quoc-Anh; Sołowski, Wojciech Computers and Geotechnics, Vol. 106 https://doi.org/10.1016/j.compgeo.2018.10.020	journal	February 2019
A better understanding of the mechanics of borehole breakout utilizing a finite strain gradient-enhanced micropolar continuum model Neuner, M.; Abrari Vajari, S.; Arunachala, P. K. Computers and Geotechnics, Vol. 153 https://doi.org/10.1016/j.compgeo.2022.105064	journal	January 2023
SPH implementation of a critical state-based hypoplastic model for granular materials in large-deformation problems Zhu, Chengwei; Wu, Wei; Peng, Chong Computers and Geotechnics, Vol. 166 https://doi.org/10.1016/j.compgeo.2023.106011	journal	December 2023
iGIMP: An implicit generalised interpolation material point method for large deformations Charlton, T. J.; Coombs, W. M.; Augarde, C. E. Computers & Structures, Vol. 190 https://doi.org/10.1016/j.compstruc.2017.05.004	journal	October 2017
A 3D gradient-enhanced micropolar damage-plasticity approach for modeling quasi-brittle failure of cohesive-frictional materials Neuner, M.; Gamnitzer, P.; Hofstetter, G. Computers & Structures, Vol. 239 https://doi.org/10.1016/j.compstruc.2020.106332	journal	October 2020
A high performance data parallel tensor contraction framework: Application to coupled electro-mechanics Poya, Roman; Gil, Antonio J.; Ortigosa, Rogelio Computer Physics Communications, Vol. 216 https://doi.org/10.1016/j.cpc.2017.02.016	journal	July 2017
On the prediction of complex shear dominated concrete failure by means of classical and higher order damage-plasticity continuum models Neuner, M.; Hofer, P.; Hofstetter, G. Engineering Structures, Vol. 251 https://doi.org/10.1016/j.engstruct.2021.113506	journal	January 2022
Nonlinear microstrain theories Forest, Samuel; Sievert, Rainer International Journal of Solids and Structures, Vol. 43, Issue 24 https://doi.org/10.1016/j.ijsolstr.2006.05.012	journal	November 2006
Geometrically non-linear 3D finite-element analysis of micropolar continuum Erdelj, Sara Grbčić; Jelenić, Gordan; Ibrahimbegović, Adnan International Journal of Solids and Structures, Vol. 202 https://doi.org/10.1016/j.ijsolstr.2020.05.025	journal	October 2020
An extended gradient-enhanced damage-plasticity model for concrete considering nonlinear creep and failure due to creep Dummer, Alexander; Neuner, Matthias; Hofstetter, Gunter International Journal of Solids and Structures, Vol. 243 https://doi.org/10.1016/j.ijsolstr.2022.111541	journal	March 2022
An evaluation of explicit time integration schemes for use with the generalized interpolation material point method Wallstedt, P. C.; Guilkey, J. E. Journal of Computational Physics, Vol. 227, Issue 22 https://doi.org/10.1016/j.jcp.2008.07.019	journal	November 2008
Material point method enhanced by modified gradient of shape function Zhang, Duan Z.; Ma, Xia; Giguere, Paul T. Journal of Computational Physics, Vol. 230, Issue 16 https://doi.org/10.1016/j.jcp.2011.04.032	journal	July 2011
A continuum meshfree method for sandbox-style numerical modeling of accretionary and doubly vergent wedges del Castillo, Enrique M.; Fávero Neto, Alomir H.; Borja, Ronaldo I. Journal of Structural Geology, Vol. 153 https://doi.org/10.1016/j.jsg.2021.104466	journal	December 2021
Investigating the mechanical behavior of multiscale porous ultra-high temperature ceramics using a quasi-static material point method Povolny, Stefan J.; Seidel, Gary D.; Tallon, Carolina Mechanics of Materials, Vol. 160 https://doi.org/10.1016/j.mechmat.2021.103976	journal	September 2021
An Implicit Material Point Method Applied to Granular Flows Iaconeta, Ilaria; Larese, Antonia; Rossi, Riccardo Procedia Engineering, Vol. 175 https://doi.org/10.1016/j.proeng.2017.01.017	journal	January 2017
Nonlocal Damage Theory Pijaudier‐Cabot, Gilles; Bažant, Zdeněk P. Journal of Engineering Mechanics, Vol. 113, Issue 10 https://doi.org/10.1061/(ASCE)0733-9399(1987)113:10(1512)	journal	October 1987
Statistical Size Effect in Quasi‐Brittle Structures: I. Is Weibull Theory Applicable? Bazant, Zdenek P.; Xi, Yunping; Reid, Stuart G. Journal of Engineering Mechanics, Vol. 117, Issue 11 https://doi.org/10.1061/(ASCE)0733-9399(1991)117:11(2609)	journal	November 1991
Why Continuum Damage is Nonlocal: Micromechanics Arguments Bažant, Zdeněk P. Journal of Engineering Mechanics, Vol. 117, Issue 5 https://doi.org/10.1061/(ASCE)0733-9399(1991)117:5(1070)	journal	May 1991
Micromorphic Approach for Gradient Elasticity, Viscoplasticity, and Damage Forest, Samuel Journal of Engineering Mechanics, Vol. 135, Issue 3 https://doi.org/10.1061/(ASCE)0733-9399(2009)135:3(117)	journal	March 2009
Finite‐Strain Elastic—Plastic Theory with Application to Plane‐Wave Analysis Lee, E. H.; Liu, D. T. Journal of Applied Physics, Vol. 38, Issue 1 https://doi.org/10.1063/1.1708953	journal	January 1967
The Particle Finite Element Method — an Overview OÑAte, E.; Idelsohn, S. R.; Del Pin, F. International Journal of Computational Methods, Vol. 01, Issue 02 https://doi.org/10.1142/S0219876204000204	journal	September 2004
A discrete numerical model for granular assemblies Cundall, P. A.; Strack, O. D. L. Géotechnique, Vol. 29, Issue 1 https://doi.org/10.1680/geot.1979.29.1.47	journal	March 1979
The thickness of shear bands in granular materials Mühlhaus, H. B.; Vardoulakis, I. Géotechnique, Vol. 37, Issue 3 https://doi.org/10.1680/geot.1987.37.3.271	journal	September 1987

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