Fracture properties prediction of clay/epoxy nanocomposites with interphase zones using a phase field model

Hbaieb, 2007, Modelling stiffness of polymer/clay nanocomposites, Polymer, 48, 901, 10.1016/j.polymer.2006.11.062

Gao, 2012

Schadler, 2007, Nanocomposites: model interfaces, Nat Mater, 6, 257, 10.1038/nmat1873

Adamson AW, Gast AP, et al. Physical chemistry of surfaces; 1967.

Dominkovics Z. Polymer/layered silicate nanocomposites: structure formation, interactions and deformation mechanisms. PhD thesis; Budapest University of Technology and Economics; 2011.

Drzal, 1986, The interphase in epoxy composites

Herrera-Franco, 1992, Comparison of methods for the measurement of fibre/matrix adhesion in composites, Composites, 23, 2, 10.1016/0010-4361(92)90282-Y

Mortazavi, 2013, Experimental and multiscale modeling of thermal conductivity and elastic properties of pla/expanded graphite polymer nanocomposites, Thermochim Acta, 552, 106, 10.1016/j.tca.2012.11.017

Mortazavi, 2013, Combined molecular dynamics-finite element multiscale modeling of thermal conduction in graphene epoxy nanocomposites, Carbon, 60, 356, 10.1016/j.carbon.2013.04.048

Galeski, 2003, Strength and toughness of crystalline polymer systems, Prog Polym Sci, 28, 1643, 10.1016/j.progpolymsci.2003.09.003

Gloaguen, 2001, Plastic deformation behaviour of thermoplastic/clay nanocomposites, Polymer, 42, 5841, 10.1016/S0032-3861(00)00901-0

Dominkovics, 2011, Estimation of interphase thickness and properties in pp/layered silicate nanocomposites, Euro Polym J, 47, 1765, 10.1016/j.eurpolymj.2011.06.010

Pukánszky, 2005, Interfaces and interphases in multicomponent materials: past, present, future, Euro Polym J, 41, 645, 10.1016/j.eurpolymj.2004.10.035

Ji, 2002, Tensile modulus of polymer nanocomposites, Polym Eng Sci, 42, 983, 10.1002/pen.11007

Pukanszky, 1990, Influence of interface interaction on the ultimate tensile properties of polymer composites, Composites, 21, 255, 10.1016/0010-4361(90)90240-W

Zare, 2015, Thickness, modulus and strength of interphase in clay/polymer nanocomposites, Appl Clay Sci, 105, 66, 10.1016/j.clay.2014.12.016

Zare, 2014, Determination of polymer-nanoparticles interfacial adhesion and its role in shape memory behavior of shape memory polymer nanocomposites, Int J Adhes Adhes, 54, 67, 10.1016/j.ijadhadh.2014.05.004

Vu-Bac, 2015, A unified framework for stochastic predictions of mechanical properties of polymeric nanocomposites, Comput Mater Sci, 96, 520, 10.1016/j.commatsci.2014.04.066

Vu-Bac, 2014, Uncertainty quantification for multiscale modeling of polymer nanocomposites with correlated parameters, Compos Part B-Eng, 68, 446, 10.1016/j.compositesb.2014.09.008

Hamdia, 2015, Predicting the fracture toughness of PNCS: a stochastic approach based on ann and anfis, Comput Mater Sci, 102, 304, 10.1016/j.commatsci.2015.02.045

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

Hamdia, 2016, Fracture toughness of polymeric particle nanocomposites: evaluation of models performance using bayesian method, Compos Sci Technol, 126, 122, 10.1016/j.compscitech.2016.02.012

Almasi, 2015, Stochastic analysis of the interphase effects on the mechanical properties of clay/epoxy nanocomposites, Compos Struct, 133, 1302, 10.1016/j.compstruct.2015.07.061

Mortazavi, 2013, Interphase effect on the elastic and thermal conductivity response of polymer nanocomposite materials: 3d finite element study, Comput Mater Sci, 69, 100, 10.1016/j.commatsci.2012.11.035

Saber-Samandari, 2006, The effect of interphase on the elastic modulus of polymer based nanocomposites, Key Eng Mater, 312, 199, 10.4028/www.scientific.net/KEM.312.199

Fertig, 2004, Influence of constituent properties and microstructural parameters on the tensile modulus of a polymer/clay nanocomposite, Compos Sci Technol, 64, 2577, 10.1016/j.compscitech.2004.06.002

Chia, 2007, Finite element modelling epoxy/clay nanocomposites, Key Eng Mater, 334, 785, 10.4028/www.scientific.net/KEM.334-335.785

Chia, 2009, Finite element modelling clay nanocomposites and interface effects on mechanical properties, 241

De Borst, 2004, Cohesive-zone models, higher-order continuum theories and reliability methods for computational failure analysis, Int J Numer Meth Eng, 60, 289, 10.1002/nme.963

Peng, 2012, Modeling of nano-reinforced polymer composites: microstructure effect on young’s modulus, Comput Mater Sci, 60, 19, 10.1016/j.commatsci.2012.03.010

Odegard, 2005, Modeling of the mechanical properties of nanoparticle/polymer composites, Polymer, 46, 553, 10.1016/j.polymer.2004.11.022

Adam, 2009, Multi-scale modeling of polymer nanocomposites, Nanotech Conf Expo, 2, 515

Qiao, 2009, Simulation of interphase percolation and gradients in polymer nanocomposites, Compos Sci Technol, 69, 491, 10.1016/j.compscitech.2008.11.022

Mesbah, 2009, Experimental characterization and modeling stiffness of polymer/clay nanocomposites within a hierarchical multiscale framework, J Appl Polym Sci, 114, 3274, 10.1002/app.30547

Liu, 2008, Reinforcing efficiency of nanoparticles: a simple comparison for polymer nanocomposites, Compos Sci Technol, 68, 1502, 10.1016/j.compscitech.2007.10.033

Akay, 1990, Flow induced polymer-filler interactions: bound polymer properties and bound polymer-free polymer phase separation and subsequent phase inversion during mixing, Polym Eng Sci, 30, 1361, 10.1002/pen.760302106

Zare, 2015, Estimation of material and interfacial/interphase properties in clay/polymer nanocomposites by yield strength data, Appl Clay Sci, 115, 61, 10.1016/j.clay.2015.07.021

Albdiry, 2013, A critical review on the manufacturing processes in relation to the properties of nanoclay/polymer composites, J Compos Mater, 47, 1093, 10.1177/0021998312445592

Kendall, 1978, Fracture of particulate filled polymers, Brit Polym J, 10, 35, 10.1002/pi.4980100107

Silani, 2014, Stochastic modelling of clay/epoxy nanocomposites, Compos Struct, 118, 241, 10.1016/j.compstruct.2014.07.009

Biqiong, 2006, Elastic moduli of clay platelets, Scripta Mater, 54, 1581, 10.1016/j.scriptamat.2006.01.018

Wang, 2005, Epoxy nanocomposites with highly exfoliated clay: mechanical properties and fracture mechanisms, Macromolecules, 38, 788, 10.1021/ma048465n

Silani, 2014, A semi-concurrent multiscale approach for modeling damage in nanocomposites, Theor Appl Fract Mech, 74, 30, 10.1016/j.tafmec.2014.06.009

Miehe, 2010, Thermodynamically consistent phase-field models of fracture: variational principles and multi-field FE implementations, Int J Numer Meth 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

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, 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

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

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

Areias, 2017, Steiner-point free edge cutting of tetrahedral meshes with applications in fracture, Finite Elem Anal Des, 132, 27, 10.1016/j.finel.2017.05.001

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

Rabczuk, 2010, On three-dimensional modelling of crack growth using partition of unity methods, Comput Struct, 88, 1391, 10.1016/j.compstruc.2008.08.010

Chen, 2012, Extended finite element method with edge-based strain smoothing (ESm-XFEM) for linear elastic crack growth, Comput Meth Appl Mech Eng, 250, 10.1016/j.cma.2011.08.013

Amiri, 2014, XLME interpolants, a seamless bridge between XFEM and enriched meshless methods, Comput Mech, 53, 45, 10.1007/s00466-013-0891-2

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

Sicsic, 2013, From gradient damage laws to Griffith’s theory of crack propagation, J Elast, 113, 55, 10.1007/s10659-012-9410-5

Anderson, 1995

Gross, 2011

Arash, 2016, Coarse-grained model of the J-integral of carbon nanotube reinforced polymer composites, Carbon, 96, 1084, 10.1016/j.carbon.2015.10.058

Msekh, 2016, Predictions of J integral and tensile strength of clay/epoxy nanocomposites material using phase field model, Compos Part B: Eng, 93, 97, 10.1016/j.compositesb.2016.02.022

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

Kuhn, 2015, On degradation functions in phase field fracture models, Comput Mater Sci, 108, 374, 10.1016/j.commatsci.2015.05.034

Zhang, 2017, Numerical evaluation of the phase-field model for brittle fracture with emphasis on the length scale, Comput Mech, 59, 737, 10.1007/s00466-017-1373-8

Asif, 2013, Epoxy clay nanocomposites: processing, properties and applications: a review, Compos Part B, 45, 308, 10.1016/j.compositesb.2012.04.012

Budarapu, 2014, An adaptive multiscale method for quasi-static crack growth, Comput Mech, 53, 1129, 10.1007/s00466-013-0952-6

Budarapu, 2014, Efficient coarse graining in multiscale modeling of fracture, Theor Appl Fract Mec, 69, 126, 10.1016/j.tafmec.2013.12.004

Silani, 2016, Nonlocal damage modelling in clay/epoxy nanocomposites using a multiscale approach, J Comput Sci, 15, 18, 10.1016/j.jocs.2015.11.007

Talebi, 2015, Concurrent multiscale modelling of three dimensional crack and dislocation propagation, Adv Eng Softw, 80, 82, 10.1016/j.advengsoft.2014.09.016

Silani, 2014, A semi-concurrent multiscale approach for modeling damage in nanocomposites, Theor Appl Fract Mec, 74, 30, 10.1016/j.tafmec.2014.06.009

Talebi, 2014, A computational library for multiscale modelling of material failure, Comput Mech, 53, 1047, 10.1007/s00466-013-0948-2