Fracture Toughness Determination on an SCB Specimen by Meshless Methods
Source abstract
Abstract
This work investigates fracture characteristics of a marble semi-circular bend (SCB) specimen with a pre-defined crack under a compressive loading condition. It aims at evaluating how the fracture toughness can be affected by the crack and span length variation. Numerically, the model is solved using meshless methods, extended to the linear elastic fracture mechanics (LEFM), resorting to radial point interpolation method (RPIM) and its natural neighbor versions (NNRPIMv1 and NNRPIMv2). Alternatively, to validate the meshless method results, the problem is resolved following the finite element method (FEM) model based on the standard 2D constant strain triangle elements. As a result, fracture toughness and the critical strain energy release rate are characterized following the testing method on the cracked straight through semi-circular bend specimen (CSTSCB). A comparison is drawn amongst the theoretical, meshless methods and FEM results to evaluate the capability of advanced numerical methods. Encouraging results have been accomplished leading to validate the supporting numerical methodologies.
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Research context
OpenAlex topics: Numerical methods in engineering · Rock Mechanics and Modeling · Geotechnical Engineering and Underground Structures
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
FEUP, Faculty of Engineering, University of Porto, Dr. Roberto Frias Street, 4200-465 Porto, Portugal
INEGI, Institute of Science and Innovation in Mechanical and Industrial Engineering, Dr. Roberto Frias Street, 400, 4200-465 Porto, Portugal
ISEP, Mechanical Engineering Department, School of Engineering, Polytechnic Porto, Rua Dr. António Bernardino de Almeida, 431, 4249-015 Porto, Portugal
References (39)
Show source-provided references
1. Broek, D. (1982). Determination of Stress Intensity Factors BT—Elementary Engineering Fracture Mechanics, Springer.10.1007/978-94-009-4333-9 ↗
2. On the validity of linear elastic fracture mechanics methods to measure the fracture toughness of adhesive joints10.1016/j.ijsolstr.2015.11.016 ↗
3. Lancaster, E. (2005). Chapter 4—The technical background. Constructing Correct Software, Woodhead Publishing.
4. Vasiliev, V.V., and Morozov, E.V. (2013). Chapter 3—Mechanics of a unidirectional ply. Constructing Correct Software, Elsevier.10.1016/B978-0-08-098231-1.00003-0 ↗
5. Fracture toughness-based models for damage simulation of pultruded GFRP materials10.1016/j.compositesb.2020.107818 ↗
6. The effect of stress concentrations on the fracture strength of polymethylmethacrylate10.1016/j.msea.2004.05.012 ↗
7. Study of the fracture toughness by finite element methods10.1016/S0020-7683(99)00108-0 ↗
8. New specimen for fracture toughness determination for rock and other materials10.1007/BF01157555 ↗
9. Chong, K., and Kuruppu, M.D. (1987, January 17–19). Fracture toughness determination of rocks with core-based specimens. Proceedings of the International Conference on Fracture of Concrete and Rock, Houston, TX, USA.
10. Specimen size requirements for determining the inherent fracture toughness of rocks according to the ISRM suggested methods10.1016/0148-9062(91)90075-W ↗
11. Suggested method for determining mode I fracture toughness using Cracked Chevron Notched Brazilian Disc (CCNBD) specimens10.1016/0148-9062(94)00015-U ↗
12. Suggested methods for determining the fracture toughness of rock10.1016/0148-9062(88)91871-2 ↗
13. ISRM-suggested method for determining the mode i static fracture toughness using semi-circular bend specimen10.1007/s00603-013-0422-7 ↗
14. Element-free Galerkin methods10.1002/nme.1620370205 ↗
15. Modelling interacting cracks through a level set using the element-free Galerkin method10.1016/j.ijmecsci.2017.10.009 ↗
16. A meshless approach to non-local damage modelling of concrete10.1016/j.enganabound.2017.04.002 ↗
17. Vieira, A.F.C. (2017). The Simulation of Concrete Materials Using a Damage Model Combined with an Advanced Discretization Meshless Technique. Material Modelling: Applications, Challenges and Research; Series in Mechanical Engineering Theory and Applications, Nova Science Publishers, Inc.. [1st ed.].
18. Material characterization and damage assessment of an AA5352 aluminium alloy using digital image correlation10.1177/0309324719892727 ↗
19. Extending radial point interpolating meshless methods to the elasto-plastic analysis of aluminium alloys10.1016/j.enganabound.2018.02.008 ↗
20. Elastoplastic response and failure assessment of steel alloys: Empirical and computational analyses10.1111/ffe.12914 ↗
21. Stress Intensity Factors of Semi-Circular Bend Specimens with Straight-Through and Chevron Notches10.1007/s00603-015-0830-y ↗
22. Sofiani, F.M., Farahani, B.V., and Belinha, J. (2019). Fracture Analysis of Semi-circular Bend (SCB) Specimen: A Numerical Study. Structural Integrity, Springer.10.1007/978-3-030-13980-3_52 ↗
23. Stress intensity factor calculation through thermoelastic stress analysis, finite element and RPIM meshless method10.1016/j.engfracmech.2017.04.027 ↗
24. Extending a radial point interpolation meshless method to non-local constitutive damage models10.1016/j.tafmec.2016.08.008 ↗
25. Belinha, J. (2014). Meshless Methods in Biomechanics: Bone Tissue Remodelling Analysis, Springer.10.1007/978-3-319-06400-0 ↗
26. The Axisymmetric Analysis of Circular Plates Using the Radial Point Interpolation Method10.1080/15502287.2015.1103819 ↗
27. A nonlinear simulation of a bi-failure specimen through improved discretisation methods: A validation study10.1177/0309324718795055 ↗
28. A vector identity for the Dirichlet tessellation10.1017/S0305004100056589 ↗
29. Analysis of 3D solids using the natural neighbour radial point interpolation method10.1016/j.cma.2006.11.002 ↗
30. The natural radial element method10.1002/nme.4427 ↗
31. Stress intensity factors for semi-circular specimens under three point bending10.1016/0013-7944(93)90030-V ↗
32. Mode I fracture toughness determination with straight notched disk bending method10.1016/j.ijrmms.2011.09.019 ↗
33. Schijve, J. (2008). Fatigue of Structures and Materials, Springer. [2nd ed.].10.1007/978-1-4020-6808-9 ↗
34. On the Stress Distribution at the Base of a Stationary Crack10.1115/1.4011454 ↗
35. Combined Mode Fracture Toughness Measurement by the Disk Test10.1115/1.3443468 ↗
36. A point interpolation meshless method based on radial basis functions10.1002/nme.489 ↗
37. A new Meshless Local Petrov-Galerkin (MLPG) approach10.1007/s004660050346 ↗
38. Concept of stress dead zone in cracked plates: Theoretical, experimental, and computational studies10.1111/ffe.12988 ↗
39. Mixed mode fracture analysis of semi-circular bend (SCB) specimen: A numerical study based on extended finite element method10.1016/j.compgeo.2016.10.012 ↗