Predictions of fracture load,crack initiation angle,and trajectory for V-notched Brazilian disk specimens under mixed mode I/II loading with negative mode I contributions
Restricted accessResearch articleFirst published online August, 2018
Predictions of fracture load,crack initiation angle,and trajectory for V-notched Brazilian disk specimens under mixed mode I/II loading with negative mode I contributions
In this paper, first the fracture load, the crack initiation angle and the crack trajectory are experimentally measured for the round-tip V-notched Brazilian disk specimen made of polymethyl-methacrylate under compressive-shear loading. Then, the fracture load and the crack initiation angle are predicted by using the extended finite element method on the basis of the linear cohesive crack criterion. The fracture trajectory of the round-tip V-notched Brazilian disk specimens is also estimated by means of the extended finite element method and the incremental methods. Both the experimental observations and the theoretical fracture models indicate that although the notch bisector line is under compressive-shear loading, one half of the notch border still sustains tensile stresses and fracture takes place from this half. A very good agreement is shown to exist between the theoretical predictions and the experimental results for various notch opening angles and different notch radii.
AmeliAPapiniMSpeltJK (2011) Evolution of crack path and fracture surface with degradation in rubber-toughened epoxy adhesive joints: application to open-faced specimens. International Journal of Adhesion and Adhesives31(6): 530–540.
2.
ASTM D5045-14 (2013) Standard test methods for plane-strain fracture toughness and strain energy release rate of plastic materials 1. In: ASTM International. West Conshohocken, PA. pp.1–9.
3.
ASTM D638-14 (2014) Standard test method for tensile properties of plastics. In: ASTM International. West Conshohocken, PA. pp.1–15.
4.
AyatollahiMRBertoFLazzarinP (2011) Mixed mode brittle fracture of sharp and blunt V-notches in polycrystalline graphite. Carbon49(7): 2465–2474.
5.
AyatollahiMRNejatiM (2011a) Determination of NSIFs and coefficients of higher order terms for sharp notches using finite element method. International Journal of Mechanical Sciences53(3): 164–177.
6.
AyatollahiMRNejatiM (2011b) Experimental evaluation of stress field around the sharp notches using photoelasticity. Materials & Design32(2): 561–569.
7.
AyatollahiMRTorabiAR (2010a) Investigation of mixed mode brittle fracture in rounded-tip V-notched components. Engineering Fracture Mechanics77(16): 3087–3104.
AyatollahiMRTorabiARBahramiB (2016) On the necessity of using critical distance model in mixed mode brittle fracture prediction of V-notched Brazilian disk specimens under negative mode I conditions. Theoretical and Applied Fracture Mechanics84: 38–48.
10.
AyatollahiMRTorabiARBahramiB (2017) Comprehensive notch shape factors for V-notched Brazilian disk specimens loaded under mixed mode I/II from pure opening mode to pure closing mode. Archive of Applied Mechanics87: 299–313.
11.
AyatollahiMRTorabiARFiroozabadiM (2015) Theoretical and experimental investigation of brittle fracture in V-notched PMMA specimens under compressive loading. Engineering Fracture Mechanics135: 187–205.
12.
AyatollahiMRTorabiARRahimiAS (2016) Brittle fracture assessment of engineering components in the presence of notches: a review. Fatigue and Fracture of Engineering Materials and Structures39(3): 267–291.
13.
BarenblattGI (1962) The mathematical theory of equilibrium cracks in brittle fracture. Advances in Applied Mechanics7: 55–129.
14.
BelytschkoTBlackT (1998) Elastic crack growth in finite elements with minimal remeshing. International Journal of Numerical Methods in Engineering45(5): 601–620.
15.
BertoFLazzarinP (2009) A review of the volume-based strain energy density approach applied to V-notches and welded structures. Theoretical and Applied Fracture Mechanics52(3): 183–194.
16.
BertoFLazzarinP (2014) Recent developments in brittle and quasi-brittle failure assessment of engineering materials by means of local approaches. Materials Science and Engineering R75(1): 1–48.
17.
ChurchmanCMDiniDHillsDA (2006) Closure at the root of a sharp notch. International Journal of Mechanical Sciences48: 1063–1071.
18.
CitarellaRCricrìG (2010) Comparison of DBEM and FEM crack path predictions in a notched shaft under torsion. Engineering Fracture Mechanics77(11): 1730–1749.
19.
CotterellB (1972) Brittle fracture in compression. International Journal of Fracture Mechanics8: 195–208.
20.
ErdoganFSihGC (1963) On the crack extension in plates under plane loading and transverse shear. Journal of Basic Engineering. American Society of Mechanical Engineers 85(4): 519–525.
21.
FilippiSLazzarinPTovoR (2002) Developments of some explicit formulas useful to describe elastic stress fields ahead of notches in plates. International Journal of Solids and Structures39(17): 4543–4565.
22.
GlinkaG (1985) Energy density approach to calculation of inelastic strain-stress near notches and cracks. Engineering Fracture Mechanics22: 485–508.
23.
GrossBMendelsonA (1972) Plane elastostatic analysis of V-notched plates. International Journal of Fracture Mechanics8(3): 267–276.
24.
HoekEBieniawskiZT (1965) Brittle fracture propagation in rock under compression. International Journal of Fracture Mechanics1: 137–155.
25.
Irwin GR (1957) Analysis of stresses and strains near the end of a crack traversing a plate. In: Applied mechanics division summer conference, California, June 1957.
26.
LajtaiEZ (1974) Brittle fracture in compression. International Journal of Fracture10: 525–536.
27.
LazzarinPBertoFRadajD (2009) Fatigue-relevant stress field parameters of welded lap joints: pointed slit tip compared with keyhole notch. Fatigue & Fracture of Engineering Materials & Structures32(9): 713–735.
28.
LazzarinPTovoR (1996) A unified approach to the evaluation of linear elastic stress fields in the neighborhood of cracks and notches. International Journal of Fracture78(1): 3–19.
29.
LazzarinPZambardiR (2001) A finite-volume-energy based approach to predict the static and fatigue behavior of components with sharp V-shaped notches. International Journal of Fracture112: 275–298.
30.
LewickiDGHandschuhRFSpievakLEet al. (2001) Consideration of moving tooth load in gear crack propagation predictions. Journal of Mechanical Design, Transactions of the ASME. American Society of Mechanical Engineers, 123(1): 118–124.
31.
MarsavinaLConstantinescuDMLinulEet al. (2016) Experimental and numerical crack paths in PUR foams. Engineering Fracture Mechanics167: 68–83.
32.
OvcharenkoYN (2013) Local strain energy density near sharp V-notches in plates. Journal of Applied Mechanics and Technical Physics54: 1003–1010.
33.
PrassianakisJNTheocarisPS (1980) Stress intensity factors at V-notched elastic, symmetrically loaded, plates by the method of caustics. Applied Physics13: 1043–1053.
34.
SeidenfussMSamalMKRoosE (2011) On critical assessment of the use of local and nonlocal damage models for prediction of ductile crack growth and crack path in various loading and boundary conditions. International Journal of Solids and Structures48(24): 3365–3381.
35.
SihGCHoJW (1991) Sharp notch fracture strength characterized by critical energy density. Theoretical and Applied Fracture Mechanics16: 179–214.
StrandbergM (2000) A numerical study of the elastic stress field arising from sharp and blunt V-notches in a SENT-specimen. International Journal of Fracture100(4): 329–342.
38.
TorabiARAmininejadS (2015) Brittle fracture in V-notches with end holes. International Journal of Damage Mechanics24: 529–545.
39.
TorabiARBahramiBAyatollahiMR (2016) Mixed mode I/II brittle fracture in V-notched Brazilian disk specimens under negative mode I conditions. Physical Mesomechanics19(3): 332–348.
40.
TorabiARBertoF (2014) Strain energy density to assess mode II fracture in U-notched disk-type graphite plates. International Journal of Damage Mechanics23(7): 917–930.
41.
TorabiARFakoorMDarbaniMA (2013) Pure shear fracture study in a brittle graphite material containing a U-notch. International Journal of Damage Mechanics23: 839–854.
42.
TorabiARFiroozabadiMAyatollahiMR (2015) Brittle fracture analysis of blunt V-notches under compression. International Journal of Solids and Structures67–68: 219–230.
43.
Ural A, Wawrzynek PA, Ingraffea AR, et al. (2003) Simulating fatigue crack growth in spiral bevel gears using computational fracture mechanics. In: ASME 2003 international design engineering technical conferences and computers and information in engineering conference, Chicago, September 2013, pp.195–199. ASME.
44.
WilliamsML (1952) Stress singularities resulting from various boundary conditions in angular corners of plates in extension. Journal of Applied Mechanics, ASME19(4): 526–528.
45.
Yadegari DehnaviMREshraghiISoltaniN (2013) Investigation of fracture parameters of edge V-notches in a polymer material using digital image correlation. Polymer Testing32(4): 778–784.
46.
YaoXFYehHYXuW (2006) Fracture investigation at V-notch tip using coherent gradient sensing (CGS). International Journal of Solids and Structures43(5): 1189–1200.
