A new multiscale phase field method to simulate failure in composites

Advances in Engineering Software - Tập 126 - Trang 9-33 - 2018
R.U. Patil1, B.K. Mishra1, I.V. Singh1, Tinh Quoc Bui2
1Department of Mechanical and Industrial Engineering, Indian Institute of Technology, Roorkee 247667, Uttarakhand, India
2Department of Civil and Environmental Engineering, Tokyo Institute of Technology, Ookayama, Meguro-ku, Tokyo, Japan

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Evans, 1990, Perspectives on the development of high-toughness ceramics, J Am Ceram Soc, 73, 187, 10.1111/j.1151-2916.1990.tb06493.x

Prasad, 2004, Fracture behaviour of 2D weaved, silica–silica continuous fibre–reinforced, ceramic–matrix composites (CFCCs), Eng Fract Mech, 71, 2589, 10.1016/j.engfracmech.2004.02.005

Li, 2018, Role of interfaces in mechanical properties of ceramic matrix composites, 355

Belytschko, 1994, Fracture and crack growth by element free Galerkin methods, Model Simul Mater Sci Eng, 2, 519, 10.1088/0965-0393/2/3A/007

Pant, 2011, Evaluation of mixed mode stress intensity factors for interface cracks using EFGM, Appl Math Modell, 35, 3443, 10.1016/j.apm.2011.01.010

Belytschko, 1999, Elastic crack growth in finite elements with minimal remeshing, International Journal of Numerical Methods in Engineering, 45, 601, 10.1002/(SICI)1097-0207(19990620)45:5<601::AID-NME598>3.0.CO;2-S

Moes, 1999, A finite element method for crack growth without remeshing, Int J Numer Methods Eng, 46, 131, 10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.0.CO;2-J

Sukumar, 2004, Partition of unity enrichment for bimaterial interface cracks, International Journal of Numerical Methods in Engineering, 59, 1075, 10.1002/nme.902

Singh, 2012, The numerical simulation of fatigue crack growth using extended finite element method, Int J Fatigue, 36, 109, 10.1016/j.ijfatigue.2011.08.010

Patil, 2017, A new multiscale XFEM for the elastic properties evaluation of heterogeneous materials, Int J Mech Sci, 122, 277, 10.1016/j.ijmecsci.2017.01.028

Bansal, 2017, A stochastic XFEM model for the tensile strength prediction of heterogeneous graphite based on microstructural observations, J Nucl Mater, 487, 143, 10.1016/j.jnucmat.2016.12.045

Moës, 2011, A level set based model for damage growth: The thick level set approach, Int J Numer Methods Eng, 86, 358, 10.1002/nme.3069

Sutula, 2018, Minimum energy multiple crack propagation. Part I: Theory and state of the art review, Eng Fract Mech, 191, 205, 10.1016/j.engfracmech.2017.07.028

Sutula, 2018, Minimum energy multiple crack propagation. Part-II: Discrete Solution with XFEM, Eng Fract Mech, 191, 225, 10.1016/j.engfracmech.2017.07.029

Sutula, 2018, Minimum energy multiple crack propagation. Part III: XFEM computer implementation and applications, Eng Fract Mech, 191, 257, 10.1016/j.engfracmech.2017.08.004

Benson, 2010, A generalized finite element formulation for arbitrary basis functions: From Isogeometric analysis to XFEM, International Journal of Numerical Methods in Engineering, 83, 765, 10.1002/nme.2864

Bhardwaj, 2016, Fatigue crack growth analysis of an interfacial crack in heterogeneous materials using homogenized XIGA, Theor Appl Fract Mech, 85, 294, 10.1016/j.tafmec.2016.04.004

Atroshchenko, 2018, Weakening the tight coupling between geometry and simulation in isogeometric analysis: From sub‐and super-geometric analysis to Geometry Independent Field approximaTion (GIFT), Int J Numer Methods Eng, 114, 1131, 10.1002/nme.5778

Poh, 2017, Localizing gradient damage model with decreasing interactions, Int J Numer Methods Eng, 110, 503, 10.1002/nme.5364

Nguyen, 2018, Smoothing gradient damage model with evolving anisotropic nonlocal interactions tailored to low-order finite elements, Comput Meth Appl Mech Eng, 328, 498, 10.1016/j.cma.2017.09.019

Sun, 2016, Homogenization of intergranular fracture towards a transient gradient damage model, J Mech Phys Solids, 95, 374, 10.1016/j.jmps.2016.05.035

Francfort, 1998, Revisiting brittle fracture as an energy minimization problem, J Mech Phys Solids, 46, 1319, 10.1016/S0022-5096(98)00034-9

Bourdin, 2007, Numerical implementation of the variational formulation for quasi-static brittle fracture, Interfaces Free Boundaries, 9, 411, 10.4171/IFB/171

Bourdin, 2008, The Variational Approach to Fracture, J Elasticity, 91, 5, 10.1007/s10659-007-9107-3

Amor, 2009, Regularized formulation of the variational brittle fracture with unilateral contact: numerical experiments, J Mech Phys Solids, 57, 1209, 10.1016/j.jmps.2009.04.011

Miehe, 2010, Thermodynamically consistent phase-field models of fracture: variational principles and multi-field FE implementations, Int J Numer Methods Eng, 83, 1273, 10.1002/nme.2861

Miehe, 2010, A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits, Comput Meth Appl Mech Eng, 199, 2765, 10.1016/j.cma.2010.04.011

Li, 2016

Borden, 2014, A higher-order phase-field model for brittle fracture: Formulation and analysis within the isogeometric analysis framework, Comput Meth Appl Mech Eng, 273, 100, 10.1016/j.cma.2014.01.016

Ambati, 2015, A review on phase-field models of brittle fracture and a new fast hybrid formulation, Comput Mech, 55, 383, 10.1007/s00466-014-1109-y

Doan, 2016, Hybrid phase field simulation of dynamic crack propagation in functionally graded glass-filled epoxy, Compos Part B, 99, 266, 10.1016/j.compositesb.2016.06.016

Doan, 2017, A rate-dependent hybrid phase field model for dynamic crack propagation, J Appl Phys, 122, 115102, 10.1063/1.4990073

Amiri, 2014, Phase-field modeling of fracture in linear thin shells, Theor Appl Fract Mech, 69, 102, 10.1016/j.tafmec.2013.12.002

Areias, 2016, Phase-field analysis of finite-strain plates and shells including element subdivision, Comput Meth Appl Mech Eng, 312, 322, 10.1016/j.cma.2016.01.020

Msekh, 2015, Abaqus implementation of phase-field model for brittle fracture, Comput Mater Sci, 96, 472, 10.1016/j.commatsci.2014.05.071

Liu, 2016, Abaqus implementation of monolithic and staggered schemes for quasi-static and dynamic fracture phase-field model, Comput Mater Sci, 121, 35, 10.1016/j.commatsci.2016.04.009

Zhou, 2018, Phase field modeling of quasi-static and dynamic crack propagation: COMSOL implementation and case studies, Adv Eng Software, 122, 31, 10.1016/j.advengsoft.2018.03.012

Zhou, 2018, Phase field modelling of crack propagation, branching and coalescence in rocks, Theor Appl Fract Mech, 96, 174, 10.1016/j.tafmec.2018.04.011

Zhou, 2018, A phase-field modeling approach of fracture propagation in poroelastic media, Eng Geol, 240, 189, 10.1016/j.enggeo.2018.04.008

Nguyen, 2015, A phase field method to simulate crack nucleation and propagation in strongly heterogeneous materials from direct imaging of their microstructure, Eng Fract Mech, 139, 18, 10.1016/j.engfracmech.2015.03.045

Chakraborty, 2016, A phase-field approach to model multi-axial and microstructure dependent fracture in nuclear grade graphite, J Nucl Mater, 475, 200, 10.1016/j.jnucmat.2016.04.006

Hamdia, 2015, Uncertainty quantification of the fracture properties of polymeric nanocomposites based on phase field modelling, Compos Struct, 133, 1177, 10.1016/j.compstruct.2015.08.051

Msekh, 2018, Fracture properties prediction of clay/epoxy nanocomposites with interphase zones using a phase field model, Eng Fract Mech, 188, 287, 10.1016/j.engfracmech.2017.08.002

Mahnken, 2013, Goal-oriented adaptive refinement for phase field modeling with finite elements, Int J Numer Methods Eng, 94, 418, 10.1002/nme.4464

Heister, 2018, A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach, Comput Meth Appl Mech Eng, 290, 466, 10.1016/j.cma.2015.03.009

Lee, 2016, Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model, Comput Meth Appl Mech Eng, 305, 111, 10.1016/j.cma.2016.02.037

Zhang, 2018, Moving mesh finite element simulation for phase-field modeling of brittle fracture and convergence of Newton's iteration, J Comput Phys, 356, 127, 10.1016/j.jcp.2017.11.033

Areias, 2016, Damage and fracture algorithm using the screened Poisson equation and local remeshing, Eng Fract Mech, 158, 116, 10.1016/j.engfracmech.2015.10.042

Areias, 2018, Effective 2D and 3D crack propagation with local mesh refinement and the screened Poisson equation, Eng Fract Mech, 189, 339, 10.1016/j.engfracmech.2017.11.017

Badnava, 2018, An h-adaptive thermo-mechanical phase field model for fracture, Finite Elem Anal Des, 138, 31, 10.1016/j.finel.2017.09.003

Zhang, 2010, Extended multiscale finite element method for mechanical analysis of heterogeneous materials, Acta Mechanica Sinica, 26, 899, 10.1007/s10409-010-0393-9

Wu, 2015, A Concurrent Multiscale Method for Simulation of Crack Propagation, Acta Mech Solida Sin, 28, 235, 10.1016/S0894-9166(15)30011-2

Patil, 2018, An adaptive multiscale phase field method for brittle fracture, Comput Meth Appl Mech Eng, 329, 254, 10.1016/j.cma.2017.09.021

Miehe, 2001, Algorithms for computation of stresses and elasticity moduli in terms of Seth–Hill's family of generalized strain tensors, Comm, 17, 337

Moran, 1987, A general treatment of crack tip contour integrals, Int J Fract, 27, 295, 10.1007/BF00276359

Borden, 2012, A phase-field description of dynamic brittle fracture, Comput Meth Appl Mech Eng, 217–220, 77, 10.1016/j.cma.2012.01.008

Evans, 1991, The role of interfaces in fiber-reinforced brittle matrix composites, Compos Sci Technol, 42, 3, 10.1016/0266-3538(91)90010-M

Chawla, 2006, 275

Chawla, 1993, 162

Kriz, 1979

Kriz, 1984, Influence of ply cracks on fracture strength of graphite/epoxy laminates at 76K, Am Soc Testing Mater, 836, 250

González, 2006, Multiscale modeling of fracture in fiber-reinforced composites, Acta Materialia, 54, 4171, 10.1016/j.actamat.2006.05.007