A multi phase-field fracture model for long fiber reinforced composites based on the Puck theory of failure
Source abstract
Abstract
Abstract Phase-Field (PF) methods of fracture have emerged as powerful modeling tools for triggering fracture events in solids. These numerical techniques efficiently alleviate mesh dependent pathologies and are very suitable for characterizing brittle as well as quasi-brittle fracture in a wide range of engineering materials and structures including fiber reinforced composites. In this work, a multi phase-field model relying on the Puck’s failure theory is proposed for triggering intra-laminar cracking in long fiber reinforced composites. The current formulation encompasses the differentiation of fiber and inter-fiber (matrix-dominated) failure phenomena via the consideration of two independent phase-field damage-like variables, and the corresponding evolution equations and length scales. Moreover, for matrix-dominated deformation states, the present formulations endow the incorporation of plastic effects via an invariant-based plasticity model. Special attention is also devoted to its finite element implementation, which is conducted using the user-defined capabilities UMAT and UEL of ABAQUS , in conjunction with the thorough assessment of its thermodynamic consistency. Several representative applications pinpoint the applicability of the proposed computational tool.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Numerical methods in engineering · Mechanical Behavior of Composites · Fatigue and fracture mechanics
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (66)
Show source-provided references
1. Finite deformation irreversible cohesive elements for three-dimensional crack-propagation analysis10.1002/(SICI)1097-0207(19990330)44:9<1267::AID-NME486>3.0.CO;2-7 ↗
2. Characterization of the translaminar fracture cohesive law10.1016/j.compositesa.2016.01.019 ↗
3. A damage model for the simulation of delamination in advanced composites under variable-mode loading10.1016/j.mechmat.2005.10.003 ↗
4. A nonlinear finite thickness cohesive interface element for modeling delamination in fibre-reinforced composite laminates10.1016/j.compositesb.2016.10.042 ↗
5. Numerical simulation of mixed-mode progressive delamination in composite materials10.1177/0021998303034505 ↗
6. On the 3d extension of failure models for adhesive joints under mixed-mode fracture conditions: Lebim and czm10.1016/j.tafmec.2019.01.004 ↗
7. Damage modelling of the elementary ply for laminated composites10.1016/0266-3538(92)90097-M ↗
8. A 3D transversally isotropic constitutive model for advanced composites implemented in a high performance computing code10.1016/j.euromechsol.2018.03.021 ↗
9. Matrix cracking and delamination in laminated composites. Part I: Ply constitutive law, first ply failure and onset of delamination10.1016/j.mechmat.2010.12.003 ↗
10. A continuum damage model for composite laminates: Part II – Computational implementation and validation10.1016/j.mechmat.2007.03.006 ↗
11. Prediction of size effects in notched laminates using continuum damage mechanics10.1016/j.compscitech.2007.02.005 ↗
12. Continuum models for the analysis of progressive failure in composite laminates10.1177/0021998309343054 ↗
13. A consistent anisotropic damage model for laminated fiber-reinforced composites using the 3d-version of the puck failure criterion10.1016/j.ijsolstr.2017.07.023 ↗
14. Revisiting brittle fracture as an energy minimization problem10.1016/S0022-5096(98)00034-9 ↗
15. Numerical experiments in revisited brittle fracture10.1016/S0022-5096(99)00028-9 ↗
16. The variational approach to fracture10.1007/s10659-007-9107-3 ↗
17. Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations10.1002/nme.2861 ↗
18. Phase field modeling of fracture in multi-physics problems. Part II. coupled brittle-to-ductile failure criteria and crack propagation in thermo-elastic–plastic solids10.1016/j.cma.2014.11.017 ↗
19. 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 solids10.1016/j.cma.2014.11.016 ↗
20. Linear and nonlinear solvers for variational phase-field models of brittle fracture10.1002/nme.5300 ↗
21. Validation simulations for the variational approach to fracture10.1016/j.cma.2014.10.052 ↗
22. Crack nucleation in variational phase-field models of brittle fracture10.1016/j.jmps.2017.09.006 ↗
23. Phase-field modeling of brittle and ductile fracture in shells with isogeometric nurbs-based solid-shell elements10.1016/j.cma.2016.02.017 ↗
24. Coupling damage and plasticity for a phase-field regularisation of brittle, cohesive and ductile fracture: One-dimensional examples10.1016/j.ijmecsci.2017.05.047 ↗
25. A phase field formulation for hydrogen assisted cracking10.1016/j.cma.2018.07.021 ↗
26. A 3D finite strain model for intralayer and interlayer crack simulation coupling the phase field approach and cohesive zone model10.1016/j.compstruct.2017.08.095 ↗
27. Modeling complex crack paths in ceramic laminates: a novel variational framework combining the phase field method of fracture and the cohesive zone model10.1016/j.jeurceramsoc.2018.01.035 ↗
28. Phase field modeling of fracture in anisotropic brittle solids10.1016/j.ijnonlinmec.2017.06.018 ↗
29. Crack kinking in a variational phase-field model of brittle fracture with strongly anisotropic surface energy10.1016/j.jmps.2019.01.010 ↗
30. Phase field modeling and simulation of coupled fracture and twinning in single crystals and polycrystals10.1016/j.cma.2016.01.023 ↗
31. Coupled phase field finite element model for crack propagation in elastic polycrystalline microstructures10.1007/s10704-019-00378-6 ↗
32. Finite deformation model for short fibre reinforced composites: application to hybrid metal-composite clinching joints10.1016/j.compstruct.2016.02.045 ↗
33. An invariant-based anisotropic material model for short fiber-reinforced thermoplastics: Coupled thermo-plastic formulation10.1016/j.compositesa.2016.06.015 ↗
34. A new invariant-based thermo-plastic model for finite deformation analysis of short fibre reinforced composites: Development and numerical aspects10.1016/j.compositesb.2017.05.043 ↗
35. Material modeling of short fiber reinforced polymeric composites: Theory, numerical aspects, and application, Doctoral degree, dissertation thesis
36. Macro-mechanical modeling and experimental validation of anisotropic, pressure- and temperature-dependent behavior of short fiber composites10.1016/j.compstruct.2018.12.045 ↗
37. Numerical aspects of anisotropic failure in soft biological tissues favor energy-based criteria: A rate-dependent anisotropic crack phase-field model10.1016/j.cma.2017.11.008 ↗
38. A phase-field approach to model fracture of arterial walls: theory and finite element analysis10.1016/j.cma.2016.04.007 ↗
39. Strength prediction of notched thin ply laminates using finite fracture mechanics and the phase field approach10.1016/j.compscitech.2017.07.020 ↗
40. A phase field approach to simulate intralaminar and translaminar fracture in long fiber composite materials10.1016/j.compstruct.2019.02.007 ↗
41. Phase-field modelling of failure in hybrid laminates10.1016/j.compstruct.2017.08.073 ↗
42. Phase-field modeling of anisotropic brittle fracture including several damage mechanisms10.1016/j.cma.2018.03.012 ↗
43. Fracture of solar-grade anisotropic polycrystalline silicon: a combined phase field–cohesive zone model approach10.1016/j.cma.2017.10.021 ↗
44. A micromechanical analysis of inter-fiber failure in long reinforced composites based on the phase field approach of fracture combined with the cohesive zone model10.1007/s10704-019-00384-8 ↗
45. Failure analysis of frp laminates by means of physically based phenomenological models10.1016/S0266-3538(01)00208-1 ↗
46. Tensile behaviour of thermoplastic composites including temperature, moisture, and hygrothermal effects10.1016/j.polymertesting.2016.03.011 ↗
47. Vogler M, Andrade F, Schöpfer J, Kolling S, Rolfes R, A novel transversely-isotropic 3d elastic-viscoplastic constitutive law for modeling fiber matrix composites. In: 8th European LS-DYNA users conference, Strasbourg, France; 2011.
48. Production simulation by means of a structure tensor based framework of anisotropic plasticity10.1002/pamm.201210390 ↗
49. On the formulation and numerical solution of problems in anisotropic finite plasticity10.1016/S0045-7825(00)00355-8 ↗
50. A thermodynamically consistent framework to couple damage and plasticity microplane-based formulations for fracture modeling: development and algorithmic treatment10.1007/s10704-016-0131-9 ↗
51. Prediction of the postbuckling response of composite airframe panels including ply failure10.1016/j.engfracmech.2010.05.009 ↗
52. A phase-field regularized cohesive zone model for hydrogen assisted cracking
53. Finite element implementation of puck’s failure theory for fibre-reinforced composites under three-dimensional stress10.1177/0021998312451480 ↗
54. Truesdell · 2004
55. A phase field approach for ductile fracture of short fibre reinforced composites10.1016/j.tafmec.2020.102495 ↗
56. Phase field fracture in elasto-plastic solids: Abaqus implementation and case studies10.1016/j.tafmec.2019.102252 ↗
57. Phase field fracture modelling using quasi-newton methods and a new adaptive step scheme
58. Comprehensive implementations of phase-field damage models in abaqus10.1016/j.tafmec.2019.102440 ↗
59. Input data for test cases used in benchmarking triaxial failure theories of composites10.1177/0021998312449886 ↗
60. On the progressive failure simulation and experimental validation of fiber metal laminate bolted joints10.1016/j.compstruct.2019.111368 ↗
61. A co-rotational based anisotropic elasto–plastic model for geometrically non-linear analysis of fibre reinforced polymer composites: formulation and finite element implementation10.3390/ma12111816 ↗
62. Prediction of in situ strengths and matrix cracking in composites under transverse tension and in-plane shear10.1016/j.compositesa.2005.04.023 ↗
63. Ein physikalisch basiertes ermüdungsschädigungsmodell zur degradationsberechnung von faser-kunststoff-verbunden, Doctoral degree, dissertation thesis
64. Numerical modelling and simulation of fatigue damage in carbon fibre reinforced plastics at different stress ratios10.1016/j.tws.2019.03.005 ↗
65. A viscoelastic damage model for nanoparticle/epoxy nanocomposites at finite strain: a multiscale approach10.1016/j.jmps.2019.04.004 ↗
66. Viscoelastic damage behavior of fiber reinforced nanoparticle-filled epoxy nanocomposites: Multiscale modeling and experimental validation10.1016/j.compositesb.2019.107005 ↗