Received:

Revised:

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Published online:

DOI:
10.5802/crmeca.14

Revised:

Accepted:

Published online:

Keywords:
Ductile, Brittle, Fracture, Porosity, Crack, Topological defect

Author's affiliations:

Amit Acharya ^{1}

License: CC-BY 4.0

Copyrights: The authors retain unrestricted copyrights and publishing rights

@article{CRMECA_2020__348_4_275_0, author = {Amit Acharya}, title = {A possible link between brittle and ductile failure by viewing fracture as a topological defect}, journal = {Comptes Rendus. M\'ecanique}, pages = {275--284}, publisher = {Acad\'emie des sciences, Paris}, volume = {348}, number = {4}, year = {2020}, doi = {10.5802/crmeca.14}, language = {en}, }

TY - JOUR AU - Amit Acharya TI - A possible link between brittle and ductile failure by viewing fracture as a topological defect JO - Comptes Rendus. Mécanique PY - 2020 SP - 275 EP - 284 VL - 348 IS - 4 PB - Académie des sciences, Paris DO - 10.5802/crmeca.14 LA - en ID - CRMECA_2020__348_4_275_0 ER -

Amit Acharya. A possible link between brittle and ductile failure by viewing fracture as a topological defect. Comptes Rendus. Mécanique, Volume 348 (2020) no. 4, pp. 275-284. doi : 10.5802/crmeca.14. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.14/

[1] A nonlinear anisotropic elastic–inelastic constitutive model for polycrystalline ceramics and minerals with application to boron carbide, Int. J. Solids Struct., Volume 64 (2015), pp. 191-207 | DOI

[2] Experiments on fracture trajectories in ceramic samples with voids, J. Eur. Ceram. Soc., Volume 36 (2016) no. 9, pp. 2277-2281 | DOI

[3] Failure of metals I: Brittle and ductile fracture, Acta Mater., Volume 107 (2016), pp. 424-483 | DOI

[4] Fracture mechanism maps in stress space, Acta Metall., Volume 36 (1988) no. 5, pp. 1213-1228 | DOI

[5] 2D and 3D visualization of ductile fracture, Adv. Eng. Mater., Volume 8 (2006) no. 6, pp. 469-472 | DOI

[6] Ductile fracture by hole growth in shear bands, Int. J. Fract. Mech., Volume 2 (1966) no. 4, pp. 614-627 | DOI

[7] Fracture and singularities of the mass-density gradient field, J. Elast., Volume 132 (2018) no. 2, pp. 243-260 | DOI | MR | Zbl

[8] Modification of the Gurson model for shear failure, Eur. J. Mech. A, Volume 27 (2008) no. 1, p. 1 | DOI | Zbl

[9] Ductile failure modeling, Int. J. Fract., Volume 201 (2016) no. 1, pp. 29-80 | DOI

[10] A study of conditions for dislocation nucleation in coarser-than-atomistic scale models, J. Mech. Phys. Solids, Volume 75 (2015), pp. 76-92 | DOI

[11] Numerical experiments in revisited brittle fracture, J. Mech. Phys. Solids, Volume 48 (2000) no. 4, pp. 797-826 | DOI | MR | Zbl

[12] A phase-field description of dynamic brittle fracture, Comput. Methods Appl. Mech. Eng., Volume 217 (2012), pp. 77-95 | DOI | MR | Zbl

[13] Micromechanics: Overall Properties of Heterogeneous Materials, Elsevier, 2013

[14] Self-consistent analysis of waves in rocks containing arrays of cracks, Seismic Anisotropy, Society of Exploration Geophysicists, 1996, pp. 318-356 | DOI

[15] Behaviour of voids in a shear field, Int. J. Fract., Volume 158 (2009) no. 1, pp. 41-49 | DOI | Zbl

[16] Laws of crack motion and phase-field models of fracture, J. Mech. Phys. Solids, Volume 57 (2009) no. 2, pp. 342-368 | DOI | Zbl

[17] A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits, Comput. Methods Appl. Mech. Eng., Volume 199 (2010) no. 45, pp. 2765-2778 | DOI | MR | Zbl

[18] Regularized formulation of the variational brittle fracture with unilateral contact: numerical experiments, J. Mech. Phys. Solids, Volume 57 (2009) no. 8, pp. 1209-1229 | DOI | Zbl

[19] A coupled crystal plasticity FEM and phase-field model for crack evolution in microstructures of 7000 series aluminum alloys, Eng. Fract. Mech., Volume 230 (2020), 106970 | DOI

[20] Plasticity aspects of fracture, Engineering Fundamentals and Environmental Effects (H. Leibowitz, ed.), Elsevier, 1971, pp. 47-225 | DOI

[21] Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures, Eng. Fract. Mech., Volume 21 (1985) no. 1, pp. 31-48 | DOI

[22] On fracture locus in the equivalent strain and stress triaxiality space, Int. J. Mech. Sci., Volume 46 (2004) no. 1, pp. 81-98 | DOI

[23] Rupture mechanisms in combined tension and shear—experiments, Int. J. Solids Struct., Volume 44 (2007) no. 6, pp. 1768-1786 | DOI | Zbl

[24] Constitutive modeling of void shearing effect in ductile fracture of porous materials, Eng. Fract. Mech., Volume 75 (2008) no. 11, pp. 3343-3366 | DOI

[25] A homogenization-based damage model for stiffness loss in ductile metal-matrix composites, J. Mech. Phys. Solids, Volume 137 (2020), 103812 | DOI | MR

[26] Nonlinear composites, Advances in Applied Mechanics, Volume 34, Elsevier, 1997, pp. 171-302 | DOI

[27] Finite element implementation of gradient plasticity models Part I: Gradient-dependent yield functions, Comput. Methods Appl. Mech. Eng., Volume 163 (1998) no. 1-4, pp. 11-32 | DOI | Zbl

[28] Finite element implementation of gradient plasticity models Part II: Gradient-dependent evolution equations, Comput. Methods Appl. Mech. Eng., Volume 163 (1998) no. 1-4, pp. 33-53 | DOI | Zbl

[29] Recent extensions of Gurson’s model for porous ductile metals, Continuum Micromechanics, Springer, 1997, pp. 61-130 | DOI | Zbl

[30] Collapse and coalescence of spherical voids subject to intense shearing: studied in full 3D, Int. J. Fract., Volume 177 (2012) no. 2, pp. 97-108 | DOI

[31] Application of a model of plastic porous materials including void shape effects to the prediction of ductile failure under shear-dominated loadings, J. Mech. Phys. Solids, Volume 94 (2016), pp. 148-166 | DOI | MR

[32] Phase-field modelling of ductile fracture: a variational gradient-extended plasticity-damage theory and its micromorphic regularization, Phil. Trans. R. Soc. A, Volume 374 (2016) no. 2066, 20150170 | DOI | MR | Zbl

[33] Phase-field modeling of ductile fracture, Comput. Mech., Volume 55 (2015) no. 5, pp. 1017-1040 | DOI | MR | Zbl

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