Optimization of carbon black polymer composite microstructure for rupture resistance, Journal of Applied Mechanics, vol.84, issue.2, p.21005, 2016. ,
Optimization of composite fracture properties: Method, validation, and applications, Journal of Applied Mechanics, vol.83, issue.7, p.71006, 2016. ,
Topology optimization for maximizing the fracture resistance of quasi-brittle composites, Computer Methods in Applied Mechanics and Engineering, vol.332, pp.234-254, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01674145
Topology optimization of particle-matrix composites for optimal fracture resistance taking into account interfacial damage, International Journal for Numerical Methods in Engineering, vol.115, issue.5, pp.604-626, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01780793
A phase field method to simulate crack nucleation and propagation in strongly heterogeneous materials from direct imaging of their microstructure, Engineering Fracture Mechanics, vol.139, pp.18-39, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01140963
Initiation and propagation of complex 3d networks of cracks in heterogeneous quasi-brittle materials: Direct comparison between in situ testing-microct experiments and phase field simulations, Journal of the Mechanics and Physics of Solids, vol.95, pp.320-350, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01331213
Reformulation of elasticity theory for discontinuities and long-range forces, Journal of the Mechanics and Physics of Solids, vol.48, issue.1, pp.175-209, 2000. ,
Application of the discrete element method to crack propagation and crack branching in a vitreous dense biopolymer material, International Journal of Solids and Structures, vol.49, issue.13, pp.1893-1899, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-00747483
An analysis of decohesion along an imperfect interface, Non-Linear Fracture, pp.21-40, 1990. ,
Computational modelling of impact damage in brittle materials, International Journal of solids and structures, vol.33, pp.2899-2938, 1996. ,
Fully automatic modelling of cohesive discrete crack propagation in concrete beams using local arc-length methods, International Journal of Solids and Structures, vol.41, issue.3-4, pp.801-826, 2004. ,
A finite element method for the simulation of strong and weak discontinuities in solid mechanics, Computer methods in applied mechanics and engineering, vol.193, pp.3523-3540, 2004. ,
A finite element method for crack growth without remeshing, International journal for numerical methods in engineering, vol.46, issue.1, pp.131-150, 1999. ,
Extended finite element method for three-dimensional crack modeling, International Journal for Numerical Methods in Engineering, vol.48, issue.11, pp.1549-70, 2000. ,
Simulation of strain localization: a reappraisal of the cosserat continuum, Engineering computations, vol.8, issue.4, pp.317-332, 1991. ,
Gradient-enhanced damage for quasi-brittle materials, International Journal for Numerical Methods in Engineering, vol.39, issue.39, pp.3391-3403, 1996. ,
Nonlocal damage theory, J. Eng. Mech, vol.113, pp.1512-1533, 1987. ,
Revisiting brittle fracture as an energy minimization problem, Journal of the Mechanics and Physics of Solids, vol.46, issue.8, pp.1319-1342, 1998. ,
The variational approach to fracture, Journal of elasticity, vol.91, issue.1-3, pp.5-148, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00551079
A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits, Computer Methods in Applied Mechanics and Engineering, vol.199, pp.2765-2778, 2010. ,
Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field fe implementations, International Journal for Numerical Methods in Engineering, vol.83, issue.10, pp.1273-1311, 2010. ,
A phase-field description of dynamic brittle fracture, Computer Methods in Applied Mechanics and Engineering, vol.217, pp.77-95, 2012. ,
A review on phase-field models of brittle fracture and a new fast hybrid formulation, Computational Mechanics, vol.55, issue.2, pp.383-405, 2015. ,
On the choice of parameters in the phase field method for simulating crack initiation with experimental validation, International Journal of Fracture, vol.197, issue.2, pp.213-226, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01258035
A length scale insensitive phase-field damage model for brittle fracture, Journal of the Mechanics and Physics of Solids, vol.119, pp.20-42, 2018. ,
Length scale and mesh bias sensitivity of phase-field models for brittle and cohesive fracture, Engineering Fracture Mechanics, vol.217, p.106532, 2019. ,
Crack nucleation in variational phase-field models of brittle fracture, Journal of the Mechanics and Physics of Solids, vol.110, pp.80-99, 2018. ,
A modification of the phase-field model for mixed mode crack propagation in rock-like materials, Computer Methods in Applied Mechanics and Engineering, vol.322, pp.123-136, 2017. ,
Phase field based peridynamics damage model for delamination of composite structures, Composite Structures, vol.180, pp.972-993, 2017. ,
A time-discrete model for dynamic fracture based on crack regularization, International journal of fracture, vol.168, issue.2, pp.133-143, 2011. ,
Hybrid phase field simulation of dynamic crack propagation in functionally graded glass-filled epoxy, Composites Part B: Engineering, vol.99, pp.266-276, 2016. ,
Abaqus implementation of monolithic and staggered schemes for quasi-static and dynamic fracture phase-field model, Computational Materials Science, vol.121, pp.35-47, 2016. ,
Phase-field modeling of hydraulic fracture, Journal of the Mechanics and Physics of Solids, vol.96, pp.264-290, 2016. ,
Phase field modeling of fracture in multi-physics problems. part iii. crack driving forces in hydro-poro-elasticity and hydraulic fracturing of fluid-saturated porous media, Computer Methods in Applied Mechanics and Engineering, vol.304, pp.619-655, 2016. ,
Phase field modeling of hydraulic fracturing with interfacial damage in highly heterogeneous fluid-saturated porous media, Engineering Fracture Mechanics, vol.186, pp.158-180, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01614404
A phase-field approach embedded in the theory of porous media for the description of dynamic hydraulic fracturing, Computer Methods in Applied Mechanics and Engineering, vol.315, pp.348-368, 2017. ,
Multi-phase-field modeling of anisotropic crack propagation for polycrystalline materials, Computational Mechanics, vol.60, issue.2, pp.289-314, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01499862
Phase-field modeling of anisotropic brittle fracture including several damage mechanisms, Computer Methods in Applied Mechanics and Engineering, vol.336, pp.213-236, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01736465
Phase field modeling of fracture in fiber reinforced composite laminate, International Journal of Mechanical Sciences, vol.161, p.105008, 2019. ,
Phase-field modeling of ductile fracture, Computational Mechanics, vol.55, issue.5, pp.1017-1040, 2015. ,
A phase-field model for ductile fracture at finite strains and its experimental verification, Computational Mechanics, vol.57, issue.1, pp.149-167, 2016. ,
Phase field modeling of fracture in multi-physics problems. part ii. coupled brittle-to-ductile failure criteria and crack propagation in thermo-elastic-plastic solids, Computer Methods in Applied Mechanics and Engineering, vol.294, pp.486-522, 2015. ,
A phase-field formulation for fracture in ductile materials: Finite deformation balance law derivation, plastic degradation, and stress triaxiality effects, Computer Methods in Applied Mechanics and Engineering, vol.312, pp.130-166, 2016. ,
Gradient damage models coupled with plasticity: variational formulation and main properties, Mechanics of Materials, vol.80, pp.351-367, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01667724
Coupled phase-field and plasticity modeling of geological materials: From brittle fracture to ductile flow, Computer Methods in Applied Mechanics and Engineering, vol.330, pp.1-32, 2018. ,
Incorporation of tension-compression asymmetry into plastic damage phase-field modeling of quasi brittle geomaterials, International Journal of Plasticity ,
Large-scale simulations of quasibrittle microcracking in realistic highly heterogeneous microstructures obtained from micro ct imaging, Extreme mechanics letters, vol.17, pp.50-55, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01594674
Transfer learning enhanced physics informed neural network for phase-field modeling of fracture, Theoretical and Applied Fracture Mechanics, vol.120, p.102447, 2020. ,
Revisiting the problem of a crack impinging on an interface: a modeling framework for the interaction between the phase field approach for brittle fracture and the interface cohesive zone model, Computer Methods in Applied Mechanics and Engineering, vol.321, pp.145-172, 2017. ,
Predictions of j integral and tensile strength of clay/epoxy nanocomposites material using phase field model, Composites Part B: Engineering, vol.93, pp.97-114, 2016. ,
Fracture properties prediction of clay/epoxy nanocomposites with interphase zones using a phase field model, Engineering Fracture Mechanics, vol.188, pp.287-299, 2018. ,
Phase-field modelling of interface failure in brittle materials, Computer Methods in Applied Mechanics and Engineering, vol.346, pp.25-42, 2019. ,
A phase-field method for computational modeling of interfacial damage interacting with crack propagation in realistic microstructures obtained by microtomography, Computer Methods in Applied Mechanics and Engineering, vol.312, pp.567-595, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01213943
Phase field modeling of interfacial damage in heterogeneous media with stiff and soft interphases, Engineering Fracture Mechanics, vol.218, p.106574, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-02453807
A phase-field/gradient damage model for brittle fracture in elastic-plastic solids, International Journal of Plasticity, vol.65, pp.269-296, 2015. ,
Approximation of functional depending on jumps by elliptic functional via tconvergence, Communications on Pure and Applied Mathematics, vol.43, issue.8, pp.999-1036, 1990. ,
Regularized formulation of the variational brittle fracture with unilateral contact: Numerical experiments, Journal of the Mechanics and Physics of Solids, vol.57, issue.8, pp.1209-1229, 2009. ,
Numerical evaluation of the phase-field model for brittle fracture with emphasis on the length scale, Computational Mechanics, vol.59, issue.5, pp.737-752, 2017. ,
A variational approach to the phase field modeling of brittle and ductile fracture, International Journal of Mechanical Sciences, vol.144, pp.502-517, 2018. ,
Evolution of rate-independent systems, Evolutionary equations, vol.2, pp.461-559, 2005. ,
A mathematical framework for generalized standard materials in the rate-independent case, Multifield Problems in Solid and Fluid Mechanics, pp.399-428, 2006. ,
The issues of the uniqueness and the stability of the homogeneous response in uniaxial tests with gradient damage models, Journal of the Mechanics and Physics of Solids, vol.59, issue.6, pp.1163-1190, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00578995
Variational approach to fracture mechanics with plasticity, 2013. ,
, Computational Inelasticity, 1998.
Numerical experiments in revisited brittle fracture, Journal of the Mechanics ad Physics of Solids, vol.48, pp.797-826, 2000. ,
An improved description of the exponential xu and needleman cohesive zone law for mixed-mode decohesion, Engineering Fracture Mechanics, vol.73, issue.9, pp.1220-1234, 2006. ,
Phase field modeling of fracture in multi-physics problems. part i. balance of crack surface and failure criteria for brittle crack propagation in thermo-elastic solids, Computer Methods in Applied Mechanics and Engineering, vol.294, pp.449-485, 2015. ,
Phase field modeling of ductile fracture at finite strains: A variational gradient-extended plasticity-damage theory, International Journal of Plasticity, vol.84, pp.1-32, 2016. ,
, Computational methods for plasticity: theory and applications, 2011.
Phase-field modeling of brittle and ductile fracture in shells with isogeometric nurbsbased solid-shell elements, Computer Methods in Applied Mechanics and Engineering, vol.312, pp.351-373, 2016. ,
Discrete crack modelling of ductile fracture driven by non-local softening plasticity, International journal for numerical methods in engineering, vol.66, issue.4, pp.661-688, 2006. ,
, A phase field model for rate-dependent ductile fracture, vol.7, p.180, 2017.
Discontinuous galerkin/extrinsic cohesive zone modeling: Implementation caveats and applications in computational fracture mechanics, Engineering fracture mechanics, vol.128, pp.37-68, 2014. ,
Modelling progressive failure in multi-phase materials using a phase field method, Engineering Fracture Mechanics, vol.209, pp.105-124, 2019. ,