DataVXInternational Journal of FracturePaper
journal article·2024-07

Boundary element method: cells with embedded discontinuity modeling the fracture process zone in 3D failure analysis

A. P. Chaves, R. G. Peixoto, R. P. Silva

International Journal of Fracture· Volume 247· Issue 1
Publisher page
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 · High-Velocity Impact and Material Behavior · Metal Forming Simulation Techniques

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (70)

Show source-provided references
1. Armero F, Garikipati KA (1996) An analysis of strong discontinuities in multiplicative finite strain plasticity and their relation with the numerical simulation of strain localization in solids. Int J Solids Struct 33:2863–2885. https://doi.org/10.1016/0020-7683(95)00257-X10.1016/0020-7683(95)00257-X ↗
2. Arrea M, Ingraffea AR (1982) Mixed-mode crack propagation in mortar and concrete. Technical report, 81-13, Department of Structural Engineering, Cornell University, Ithaca, USA
3. Baz̆ant ZP, Oh B (1983) Crack band theory for fracture of concrete. Mater Struct 16:155–177. https://doi.org/10.1007/BF0248626710.1007/BF02486267 ↗
4. Benedetti L, Cervera M, Chiumenti M (2017) 3D numerical modelling of twisting cracks under bending and torsion of skew notched beams. Eng Fract Mech 176:235–256. https://doi.org/10.1016/j.engfracmech.2017.03.02510.1016/j.engfracmech.2017.03.025 ↗
5. Brokenshire DR (1996) A study of torsion fracture tests. PhD thesis, Cardiff University, UK
6. Bui HD (1978) Some remarks about the formulation of three-dimensional thermoelastoplastic problems by integral equations. Int J Solids Struct 14:935–939. https://doi.org/10.1016/0020-7683(78)90069-010.1016/0020-7683(78)90069-0 ↗
7. Burud NB, Kishen JC (2021) Response based damage assessment using acoustic emission energy for plain concrete. Constr Build Mater 269:121241. https://doi.org/10.1016/j.conbuildmat.2020.12124110.1016/j.conbuildmat.2020.121241 ↗
8. Chaves EWV (2003) A three dimensional setting for strong discontinuities modelling in failure mechanics. PhD thesis, Universitat Politécnica de Catalunya, Barcelona
9. Chaves AP, Peixoto RG, da Silva RP (2021) Three dimensional cells with embedded strong discontinuity for material failure analysis by the boundary element method. Eng Anal Boundary Elem 133:107–119. https://doi.org/10.1016/j.enganabound.2021.08.01910.1016/j.enganabound.2021.08.019 ↗
10. Chaves AP, Peixoto RG, da Silva RP (2023) Analysis of 3D quasi-brittle solids failures by crack growth using the strong discontinuity approach with the boundary element method. Int J Solids Struct 275:112269. https://doi.org/10.1016/j.ijsolstr.2023.11226910.1016/j.ijsolstr.2023.112269 ↗
11. de Borst R (2022) Fracture and damage in quasi-brittle materials: A comparison of approaches. Theoret Appl Fract Mech 122:103652. https://doi.org/10.1016/j.tafmec.2022.10365210.1016/j.tafmec.2022.103652 ↗
12. Dias IF, Oliver J, Lloberas-Valls O (2018) Strain-injection and crack-path field techniques for 3D crack-propagation modelling in quasi-brittle materials. Int J Fract 212:67–87. https://doi.org/10.1007/s10704-018-0293-810.1007/s10704-018-0293-8 ↗
13. Gasser TC, Holzapfel GA (2006) 3D crack propagation in unreinforced concrete. A two-step algorithm for tracking 3D crack paths. Comput Methods Appl Mech Eng 195:5198–5219. https://doi.org/10.1016/j.cma.2005.10.02310.1016/j.cma.2005.10.023 ↗
14. Guiggiani M, Gigante A (1990) A general algorithm for multidimensional Cauchy principal value integrals in the boundary element method. J Appl Mech 57(4):906–915. https://doi.org/10.1115/1.289766010.1115/1.2897660 ↗
15. Ha K, Baek H, Park K (2015) Convergence of fracture process zone size in cohesive zone modeling. Appl Math Model 39:5828–5836. https://doi.org/10.1016/j.apm.2015.03.03010.1016/j.apm.2015.03.030 ↗
16. Hu X, Li Q, Wu Z et al (2022) Modelling fracture process zone width and length for quasi-brittle fracture of rock, concrete and ceramics. Eng Fract Mech 259:108158. https://doi.org/10.1016/j.engfracmech.2021.10815810.1016/j.engfracmech.2021.108158 ↗
17. Jäger P, Steinmann P, Kuhl E (2008) On local tracking algorithms for the simulation of three-dimensional discontinuities. Comput Mech 42:395–406. https://doi.org/10.1007/s00466-008-0249-310.1007/s00466-008-0249-3 ↗
18. Jefferson AD, Barr BIG, Bennett T et al (2004) Three dimensional finite element simulations of fracture tests using the craft concrete model. Comput Concr 1(3):261–284. https://doi.org/10.12989/cac.2004.1.3.26110.12989/cac.2004.1.3.261 ↗
19. Jin H, Runesson K, Mattiasson K (1989) Boundary element formulation in finite deformation plasticity using implicit integration. Comput Struct 31:25–34. https://doi.org/10.1016/0045-7949(89)90164-810.1016/0045-7949(89)90164-8 ↗
20. Jirásek M (2007) Mathematical analysis of strain localization. Rev Eur Gén Civ 11:977–991. https://doi.org/10.1080/17747120.2007.969297310.1080/17747120.2007.9692973 ↗
21. Karihaloo BL (1995) Fracture mechanics and structural concrete. Longman Scientific and Technical, Essex
22. Larsson R, Runesson K (1996) Element-embedded localization band based on regularized displacement discontinuity. J Eng Mech 122:402–411. https://doi.org/10.1061/(ASCE)0733-9399(1996)122:5(402)10.1061/(ASCE)0733-9399(1996)122:5(402) ↗
23. Liao H, Xu Z (1992) A method for direct evaluation of singular integral in direct boundary element method. Int J Numer Meth Eng 35:1473–1485. https://doi.org/10.1002/nme.162035070610.1002/nme.1620350706 ↗
24. Limin W, Xia L, Xu S et al (2018) Micro-crack damage in strip of fracture process zone. Int J Solids Struct 147:29–39. https://doi.org/10.1016/j.ijsolstr.2018.04.00810.1016/j.ijsolstr.2018.04.008 ↗
25. Lin Q, Wang S, Pan PZ et al (2020) Imaging opening-mode fracture in sandstone under three-point bending: a direct identification of the fracture process zone and traction-free crack based on cohesive zone model. Int J Rock Mech Min Sci 136:104516. https://doi.org/10.1016/j.ijrmms.2020.10451610.1016/j.ijrmms.2020.104516 ↗
26. Manzoli OL, Venturini WS (2004) Uma formulação do MEC para simulação numérica de descontinuidades fortes. Rev Int Mét Numér Cál Dis Ing 20(3):215–234
27. Manzoli OL, Venturini WS (2007) An implicit BEM formulation to model strong discontinuities. Comput Mech 40:901–909. https://doi.org/10.1007/s00466-006-0149-310.1007/s00466-006-0149-3 ↗
28. Manzoli O, Oliver X, Cervera M (1998) Localización de deformación: Análisis y simulación numérica de discontinuidades en mecánica de sólidos. Monografía n. 44, Centro Internacional de Métodos Numéricos en Ingeniería (CIMNE), Barcelona
29. Manzoli OL, Pedrini RA, Venturini WS (2009) Strong discontinuity analysis in solid mechanics using boundary element method. In: Sapountzakis EJ, Aliabadi MH (eds) Advances in boundary element techniques X - proceedings of the 10th international conference (BETEQ 2009), Athens, Greece, pp 323–329
30. Mendonça TS, Peixoto RG, Ribeiro GO (2020) A new class of cells with embedded discontinuity for fracture analysis by the boundary element method. Int J Numer Meth Eng 121:3869–3892. https://doi.org/10.1002/nme.638710.1002/nme.6387 ↗
31. Mosler J (2005) Numerical analyses of discontinuous material bifurcation: strong and weak discontinuities. Comput Methods Appl Mech Eng 194:979–1000. https://doi.org/10.1016/j.cma.2004.06.01810.1016/j.cma.2004.06.018 ↗
32. Most T, Bucher C (2007) Energy-based simulation of concrete cracking using an improved mixed-mode cohesive crack model within a meshless discretization. Int J Numer Anal Meth Geomech 31:285–305. https://doi.org/10.1002/nag.53610.1002/nag.536 ↗
33. Mota A, Chen Q, Foulk JW III et al (2016) A cartesian parametrization for the numerical analysis of material instability. Int J Numer Methods Eng 108:156–180. https://doi.org/10.1002/nme.522810.1002/nme.5228 ↗
34. Ngo D, Scordelis AC (1967) Finite element analysis of reinforced concrete beams. ACI J 64:152–163. https://doi.org/10.14359/755110.14359/7551 ↗
35. Ohno K, Uji K, Ueno A et al (2014) Fracture process zone in notched concrete beam under three-point bending by acoustic emission. Constr Build Mater 67:139–145. https://doi.org/10.1016/j.conbuildmat.2014.05.012. (1. Special Issue of KIFA-6 2. Utilization of Crumb Rubber in Asphalt Mixtures)10.1016/j.conbuildmat.2014.05.012 ↗
36. Oliver J (1995) Continuum modelling of strong discontinuities in solid mechanics using damage models. Comput Mech 17:49–61. https://doi.org/10.1007/BF0035647810.1007/BF00356478 ↗
37. Oliver J (1996) Modelling strong discontinuities in solid mechanics via softening constitutive equations. Part 1: Fundamentals. Int J Numer Meth Eng 39:3575–3600. https://doi.org/10.1002/(SICI)1097-0207(19961115)39:21<3575::AID-NME65>3.0.CO;2-E10.1002/(SICI)1097-0207(19961115)39:21<3575::AID-NME65>3.0.CO;2-E ↗
38. Oliver J (1996) Modelling strong discontinuities in solid mechanics via strain softening constitutive equations. Part 2: Numerical simulation. Int J Numer Meth Eng 39:3601–3623. https://doi.org/10.1002/(SICI)1097-0207(19961115)39:21<3601::AID-NME64>3.0.CO;2-410.1002/(SICI)1097-0207(19961115)39:21<3601::AID-NME64>3.0.CO;2-4 ↗
39. Oliver J (2000) On the discrete constitutive models induced by strong discontinuity kinematics and continuum constitutive equations. Int J Solids Struct 37:7207–7229. https://doi.org/10.1016/S0020-7683(00)00196-710.1016/S0020-7683(00)00196-7 ↗
40. Oliver J, Huespe AE (2004) Continuum approach to material failure in strong discontinuity settings. Comput Methods Appl Mech Eng 193:3195–3220. https://doi.org/10.1016/j.cma.2003.07.01310.1016/j.cma.2003.07.013 ↗
41. Oliver J, Cervera M, Oller S, et al (1990) Isotropic damage models and smeared crack analysis of concrete. In: Bicanic N (ed) SCI-C Computer aided analysis and design of concrete structures, pp 945–957
42. Oliver J, Cervera M, Manzoli O (1998) On the use of strain-softening models for the simulation of strong discontinuities in solids. In: de Borst R, van der Giessen E (eds) Material instabilities in solids (Chap 8). Wile, Chichester, pp 107–123
43. Oliver J, Cervera M, Manzoli O (1999) Strong discontinuities and continuum plasticity models: the strong discontinuity approach. Int J Plast 15:319–351. https://doi.org/10.1016/S0749-6419(98)00073-410.1016/S0749-6419(98)00073-4 ↗
44. Oliver J, Huespe AE, Pulido MDG et al (2002) From continuum mechanics to fracture mechanics: the strong discontinuity approach. Eng Fract Mech 69:113–136. https://doi.org/10.1016/S0013-7944(01)00060-110.1016/S0013-7944(01)00060-1 ↗
45. Oliver J, Huespe AE, Blanco S et al (2006) Stability and robustness issues in numerical modeling of material failure with the strong discontinuity approach. Comput Methods Appl Mech Eng 195:7093–7114. https://doi.org/10.1016/j.cma.2005.04.01810.1016/j.cma.2005.04.018 ↗
46. Oliver J, Huespe AE, Cante JC et al (2010) On the numerical resolution of the discontinuous material bifurcation problem. Int J Numer Method Eng 83:786–804. https://doi.org/10.1002/nme.287010.1002/nme.2870 ↗
47. Ortiz M, Leroy Y, Needleman A (1987) A finite element method for localized failure analysis. Comput Methods Appl Mech Eng 61:189–214. https://doi.org/10.1016/0045-7825(87)90004-110.1016/0045-7825(87)90004-1 ↗
48. Ottosen NS, Runesson K (1991) Properties of discontinuous bifurcation solutions in elasto-plasticity. Int J Solids Struct 27:401–421. https://doi.org/10.1016/0020-7683(91)90131-X10.1016/0020-7683(91)90131-X ↗
49. Paredes JA, Oller S, Barbat AH (2016) New tension-compression damage model for complex analysis of concrete structures. J Eng Mech ASCE 142:04016072. https://doi.org/10.1061/(ASCE)EM.1943-7889.000113010.1061/(ASCE)EM.1943-7889.0001130 ↗
50. Peixoto RG, Anacleto FES, Ribeiro GO et al (2016) A solution strategy for non-linear implicit BEM formulation using a unified constitutive medelling framework. Eng Anal Boundary Elem 64:295–310. https://doi.org/10.1016/j.enganabound.2015.11.01710.1016/j.enganabound.2015.11.017 ↗
51. Peixoto RG, Ribeiro GO, Pitangueira RLS et al (2017) The strong discontinuity approach as a limit case of strain localization in the implicit BEM formulation. Eng Anal Boundary Elem 80:127–141. https://doi.org/10.1016/j.enganabound.2017.02.00810.1016/j.enganabound.2017.02.008 ↗
52. Peixoto RG, Ribeiro GO, Pitangueira RLS (2018) A boundary element method formulation for quasi-brittle material fracture analysis using the continuum strong discontinuity approach. Eng Fract Mech 202:47–74. https://doi.org/10.1016/j.engfracmech.2018.09.01210.1016/j.engfracmech.2018.09.012 ↗
53. Petersson PE (1981) Crack growth and developement of fracture zones in plain concrete and similar materials. Technical report, TVBM-1006, Division of Building Materials, Lund Institute of Technology, Lund, Sweden
54. Raiss M, Dougill J, Newman J (1989) Observation of the development of fracture process zones in concrete. In: Shah SP, Swartz SE, Barr B (eds) Fracture of concrete and rock: recent developments. Elsevier Applied Science, London, pp 243–253
55. Rashid Y (1968) Ultimate strength analysis of prestressed concrete pressure vessels. Nucl Eng Des 7(4):334–344. https://doi.org/10.1016/0029-5493(68)90066-610.1016/0029-5493(68)90066-6 ↗
56. Rice JR, Rudnicki JW (1980) A note on some features of the theory of localization of deformation. Int J Solids Struct 16:597–605. https://doi.org/10.1016/0020-7683(80)90019-010.1016/0020-7683(80)90019-0 ↗
57. Rizzi E, Carol I, Willam K (1995) Localization analysis of elastic degradation with application to scalar damage. J Eng Mech 121(4):541–554. https://doi.org/10.1061/(ASCE)0733-9399(1995)121:4(541)10.1061/(ASCE)0733-9399(1995)121:4(541) ↗
58. Rodrigues EA, Manzoli OL, Bitencourt LAG (2020) 3d concurrent multiscale model for crack propagation in concrete. Comput Methods Appl Mech Eng 361:112813. https://doi.org/10.1016/j.cma.2019.11281310.1016/j.cma.2019.112813 ↗
59. Simo JC, Oliver J, Armero F (1993) An analysis of strong discontinuities induced by strain-softening in rate-independent inelastic solids. Comput Mech 12:277–296. https://doi.org/10.1007/BF0037217310.1007/BF00372173 ↗
60. Stochino F, Qinami A, Kaliske M (2017) Eigenerosion for static and dynamic brittle fracture. Eng Fract Mech 182:537–551. https://doi.org/10.1016/j.engfracmech.2017.05.02510.1016/j.engfracmech.2017.05.025 ↗
61. Telles JCF, Carrer JAM (1991) Implicit procedures for the solution of elastoplastic problems by the boundary element method. Math Comput Model 15:303–311. https://doi.org/10.1016/0895-7177(91)90075-I10.1016/0895-7177(91)90075-I ↗
62. Veselý V, Frantík P (2014) An application for the fracture characterisation of quasi-brittle materials taking into account fracture process zone influence. Adv Eng Softw 72:66–76. https://doi.org/10.1016/j.advengsoft.2013.06.00410.1016/j.advengsoft.2013.06.004 ↗
63. Wittmann FH, Hu X (1991) Fracture process zone in cementitious materials. Springer, Dordrecht, pp 3–18
64. Wu Z, Rong H, Zheng J et al (2011) An experimental investigation on the FPZ properties in concrete using digital image correlation technique. Eng Fract Mech 78(17):2978–2990. https://doi.org/10.1016/j.engfracmech.2011.08.01610.1016/j.engfracmech.2011.08.016 ↗
65. Wu JY, Huang Y, Zhou H et al (2021) Three-dimensional phase-field modeling of mode I + II/III failure in solids. Comput Methods Appl Mech Eng 373:113537. https://doi.org/10.1016/j.cma.2020.11353710.1016/j.cma.2020.113537 ↗
66. Yang Y, Shieh MS (1990) Solution method for nonlinear problems with multiple critical points. AIAA J 28:2110–2116. https://doi.org/10.2514/3.1052910.2514/3.10529 ↗
67. Yu RC, Ruiz G, Chaves EW (2008) A comparative study between discrete and continuum models to simulate concrete fracture. Eng Fract Mech 75(1):117–127. https://doi.org/10.1016/j.engfracmech.2007.03.03110.1016/j.engfracmech.2007.03.031 ↗
68. Zhang Y, Mang HA (2020) Global cracking elements: a novel tool for Galerkin-based approaches simulating quasi-brittle fracture. Int J Numer Meth Eng 121(11):2462–2480. https://doi.org/10.1002/nme.631510.1002/nme.6315 ↗
69. Zhang Y, Zhuang X (2018) Cracking elements: a self-propagating strong discontinuity embedded approach for quasi-brittle fracture. Finite Elem Anal Des 144:84–100. https://doi.org/10.1016/j.finel.2017.10.00710.1016/j.finel.2017.10.007 ↗
70. Zhang Y, Huang J, Yuan Y et al (2021) Cracking elements method with a dissipation-based arc-length approach. Finite Elem Anal Des 195:103573. https://doi.org/10.1016/j.finel.2021.10357310.1016/j.finel.2021.103573 ↗