Study of mixed-mode fracture in functionally graded material using an adaptive phase-field fracture model
Bibliographic record
Abstract
No abstract is available for this record. The assistant can identify its topic from the title, but cannot infer the study’s results.
Source: Not provided · Quality: missing
Research context
OpenAlex topics: Numerical methods in engineering · Fluid Dynamics Simulations and Interactions · Geotechnical Engineering and Underground Structures
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (87)
Show source-provided references
1. FGM activities in Japan10.1016/S1359-8368(96)00016-9 ↗
2. 30 Years of functionally graded materials: An overview of manufacturing methods, Applications and Future Challenges10.1016/j.compositesb.2020.108376 ↗
3. VI. The phenomena of rupture and flow in solids
4. Irwin · 1957
5. Elastic crack growth in finite elements with minimal remeshing10.1002/(SICI)1097-0207(19990620)45:5<601::AID-NME598>3.0.CO;2-S ↗
6. A finite element method for crack growth without remeshing10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.0.CO;2-J ↗
7. The mathematical theory of equilibrium cracks in brittle fracture10.1016/S0065-2156(08)70121-2 ↗
8. Yielding of steel sheets containing slits10.1016/0022-5096(60)90013-2 ↗
9. T-spline based XIGA for fracture analysis of orthotropic media10.1016/j.compstruc.2014.09.017 ↗
10. The boundary element method for elasticity problems with concentrated loads based on displacement singular elements10.1016/j.enganabound.2018.11.016 ↗
11. An interaction integral and a modified crack closure integral for evaluating piezoelectric crack-tip fracture parameters in BEM10.1016/j.enganabound.2017.04.001 ↗
12. Crack propagation modelling in functionally graded materials using scaled boundary polygons10.1007/s10704-015-9987-3 ↗
13. Scaled boundary polygons with application to fracture analysis of functionally graded materials10.1002/nme.4645 ↗
14. Numerical estimation of stress intensity factors in cracked functionally graded piezoelectric materials–a scaled boundary finite element approach10.1016/j.compstruct.2018.08.006 ↗
15. Thermoelastic fracture analysis of functionally graded materials using the scaled boundary finite element method10.1016/j.engfracmech.2022.108305 ↗
16. Virtual crack closure technique: History, approach, and applications10.1115/1.1595677 ↗
17. Implementation of the virtual crack closure technique in engineering FE calculations10.1016/j.finel.2006.10.004 ↗
18. Revisiting brittle fracture as an energy minimization problem10.1016/S0022-5096(98)00034-9 ↗
19. Regularized formulation of the variational brittle fracture with unilateral contact: Numerical experiments10.1016/j.jmps.2009.04.011 ↗
20. A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits10.1016/j.cma.2010.04.011 ↗
21. A review on phase-field models of brittle fracture and a new fast hybrid formulation10.1007/s00466-014-1109-y ↗
22. A modification of the phase-field model for mixed mode crack propagation in rock-like materials10.1016/j.cma.2017.04.028 ↗
23. A length scale insensitive phase-field damage model for brittle fracture10.1016/j.jmps.2018.06.006 ↗
24. A phase-field crack model based on directional stress decomposition10.1007/s00466-018-1635-0 ↗
25. Phase-field modeling of ductile fracture10.1007/s00466-015-1151-4 ↗
26. A phase-field formulation for fracture in ductile materials: Finite deformation balance law derivation, plastic degradation, and stress triaxiality effects10.1016/j.cma.2016.09.005 ↗
27. A phase-field model for cohesive fracture10.1002/nme.4553 ↗
28. Phase-field modelling of cohesive fracture10.1016/j.euromechsol.2021.104343 ↗
29. Phase-field description of brittle fracture in plates and shells10.1016/j.cma.2016.09.011 ↗
30. Phase field modeling of brittle fracture for enhanced assumed strain shells at large deformations: formulation and finite element implementation10.1007/s00466-017-1386-3 ↗
31. Thermodynamically consistent variational approach for modeling brittle fracture in thick plates by a hybrid phase field model10.1115/1.4045236 ↗
32. Modeling of brittle fracture in thick plates subjected to transient dynamic loads using a hybrid phase field model10.1007/s11012-020-01224-z ↗
33. A phenomenological approach to fatigue with a variational phase-field model: The one-dimensional case10.1016/j.engfracmech.2017.11.036 ↗
34. A phase field modeling approach of cyclic fatigue crack growth10.1007/s10704-020-00468-w ↗
35. A general phase-field model for fatigue failure in brittle and ductile solids10.1007/s00466-021-01996-5 ↗
36. A phase-field description of dynamic brittle fracture10.1016/j.cma.2012.01.008 ↗
37. Phase field approximation of dynamic brittle fracture10.1007/s00466-014-1045-x ↗
38. Evaluation of variational phase-field models for dynamic brittle fracture10.1016/j.engfracmech.2020.107169 ↗
39. 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 ↗
40. A phase-field model for chemo-mechanical induced fracture in lithium-ion battery electrode particles10.1002/nme.5133 ↗
41. A phase field formulation for hydrogen assisted cracking10.1016/j.cma.2018.07.021 ↗
42. Hygroscopic phase field fracture modelling of composite materials
43. A phase-field model for electro-mechanical fracture with an open-source implementation of it using Gridap in Julia10.1177/10812865221133860 ↗
44. Minimization principles for the coupled problem of Darcy–Biot-type fluid transport in porous media linked to phase field modeling of fracture10.1016/j.jmps.2015.04.006 ↗
45. Phase field modeling of brittle compressive-shear fractures in rock-like materials: A new driving force and a hybrid formulation10.1016/j.cma.2019.06.021 ↗
46. Phase field modeling of damage in glassy polymers10.1016/j.jmps.2015.12.021 ↗
47. Phase field modelling of crack propagation in functionally graded materials10.1016/j.compositesb.2019.04.003 ↗
48. Crack propagation in functionally graded 2D structures: A finite element phase-field study10.1016/j.tws.2020.106734 ↗
49. Phase field modeling of fracture in functionally graded materials: Γ-convergence and mechanical insight on the effect of grading
50. A phase-field study of crack propagation and branching in functionally graded materials using explicit dynamics10.1016/j.tafmec.2020.102681 ↗
51. Adaptive phase field modelling of crack propagation in orthotropic functionally graded materials10.1016/j.dt.2020.03.004 ↗
52. Phase-field regularized cohesive zone model (CZM) and size effect of concrete10.1016/j.engfracmech.2018.04.038 ↗
53. A phase-field model for strength and fracture analyses of fiber-reinforced composites10.1016/j.compscitech.2018.10.031 ↗
54. A phase field approach to simulate intralaminar and translaminar fracture in long fiber composite materials10.1016/j.compstruct.2019.02.007 ↗
55. A length scale insensitive anisotropic phase field fracture model for hyperelastic composites10.1016/j.ijmecsci.2020.105941 ↗
56. Phase field modelling of fracture and fatigue in Shape Memory Alloys10.1016/j.cma.2020.113504 ↗
57. A phase-field model for fracture in biological tissues10.1007/s10237-015-0702-0 ↗
58. An adaptive finite element approximation of a variational model of brittle fracture10.1137/080741033 ↗
59. Adaptive phase field analysis with dual hierarchical meshes for brittle fracture10.1016/j.engfracmech.2019.106608 ↗
60. Adaptive isogeometric analysis for phase-field modeling of anisotropic brittle fracture10.1002/nme.6457 ↗
61. A dynamic description of material brittle failure using a hybrid phase-field model enhanced by adaptive isogeometric analysis10.1016/j.euromechsol.2022.104783 ↗
62. Adaptive consistent element-free Galerkin method for phase-field model of brittle fracture10.1007/s00466-019-01679-2 ↗
63. Consistent element-free Galerkin method for three-dimensional crack propagation based on a phase-field model10.1016/j.commatsci.2020.109694 ↗
64. Multilevel global–local techniques for adaptive ductile phase-field fracture10.1016/j.cma.2021.114175 ↗
65. Adaptive phase-field modeling of brittle fracture using the scaled boundary finite element method10.1016/j.cma.2019.06.002 ↗
66. Adaptive phase field method using novel physics based refinement criteria10.1016/j.cma.2021.113874 ↗
67. Adaptive phase-field modeling of brittle fracture using a robust combination of error-estimator and markers10.1016/j.engfracmech.2022.108758 ↗
68. Measurement of mixed-mode delamination fracture toughness of unidirectional glass/epoxy composites with mixed-mode bending apparatus10.1016/0266-3538(96)00005-X ↗
69. A phase field model with the mixed-mode driving force of power-law relation10.1016/j.engfracmech.2022.108265 ↗
70. Elastic–plastic analysis of two-dimensional functionally graded materials under thermal loading10.1016/j.ijsolstr.2009.03.008 ↗
71. State of the art in functionally graded materials10.1016/j.compstruct.2021.113596 ↗
72. On the numerical modelling and analysis of multi-directional functionally graded composite structures: A review10.1016/j.compstruct.2019.111837 ↗
73. Braides · 1998
74. Dal Maso · 2012
75. Numerical experiments in revisited brittle fracture10.1016/S0022-5096(99)00028-9 ↗
76. Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations10.1002/nme.2861 ↗
77. Hierarchical tree-based finite element mesh generation10.1002/(SICI)1097-0207(19990610)45:4<447::AID-NME592>3.0.CO;2-# ↗
78. Interface element method (IEM) for a partitioned system with non-matching interfaces10.1016/S0045-7825(02)00255-4 ↗
79. A finite element for transition from a fine to a coarse grid10.1002/nme.1620120104 ↗
80. Variable-node element families for mesh connection and adaptive mesh computation10.12989/sem.2012.43.3.349 ↗
81. Adaptive refinement analysis using hybrid-stress transition elements10.1016/j.compstruc.2006.08.013 ↗
82. Adaptation of quadtree meshes in the scaled boundary finite element method for crack propagation modelling10.1016/j.engfracmech.2015.06.083 ↗
83. A smoothed finite element method for mechanics problems10.1007/s00466-006-0075-4 ↗
84. Mean value coordinates10.1016/S0167-8396(03)00002-5 ↗
85. A FEniCS implementation of the phase field method for quasi-static brittle fracture10.1007/s11709-018-0471-9 ↗
86. Simulation of crack propagation in functionally graded materials under mixed-mode and non-proportional loading
87. Probabilistic investigation into brittle fracture of functionally graded materials using phase-field method10.1016/j.engfracmech.2023.109344 ↗