Abstract
A program was developed that allows one to automate the process of calculating the three-dimensional stress field at a mixed-type crack tip within the ANSYS software. The calculation results are given for the stress intensity factors and components of the non-singular T-stress for the disk model with an inclined crack under compression with a varying thickness of the sample and an approximately constant parameter of mixing of the types of stress (I + II). We note the significant influence of the thickness of the sample on the nonsingular T zz -stress when the value of the T xx stress changes negligibly.
Similar content being viewed by others
References
Matvienko, Yu.G., Modeli i kriterii mekhaniki razrusheniya (Models and Criteria of Fracture Mechanics), Moscow: Fizmatlit, 2006.
Liu, S. and Chao, Y.J., Variation of fracture toughness with constraint, Int. J. Fracture, 2003, vol. 124, pp. 113–117.
Seitl, S. and Knersl, Z., Two parameter fracture mechanics: fatigue crack behavior under mixed mode conditions, Eng. Fracture Mech., 2008, vol. 75, pp. 857–865.
Xhu, X.K. and Chao, Y.J., Specimen size requirements for two-parameter fracture toughness testing, Int. J. Fracture, 2005, vol. 135, pp. 117–136.
Meliani, H.M., Matvienko, Yu.G., and Pluvinage, G., Two-parameter fracture criterion (K ρ, c − T ef, c ) based on notch fracture mechanics, Int. J. Fracture, 2011, vol. 167, pp. 173–182.
Matvienko, Yu.G., Two approaches to tacking nonsingular T-stresses into account in the criteria of fracture mechanics for bodies with notches, J. Mach. Manuf. Reliab., 2011, vol. 40, no. 5, p. 494.
Matvienko, Yu.G., Nonsingular T-stresses in problems on two-parameter fracture mechanic, Zavod. Lab., Diagn. Mater., 2012, no. 2, pp. 51–58.
González-Albuixech, V.F., Giner, E., Fernández-Sáez, J., and Fernández-Canteli, A., Influence of the t 33-stress on the 3-D stress state around corner cracks in an elastic plate, Eng. Fracture Mech., 2011, vol. 78, no. 2, pp. 412–427.
Matvienko, Yu.G., Shlyannikov, V.N., and Boychenko, N.V., In-plane and out-of-plane constraint parameters along a three-dimensional crack-front stress field under creep loading, Fatigue Fract. Eng. Mater. Struct., 2013, vol. 36, no. 1, pp. 14–24.
Matvienko, Yu.G. and Pochinkov, R.A., Effect of nonsingular components of T-stresses onto plastic deformation zones near the tip of normally opened crack, Deform. Razrush. Mater., 2012, no. 3, pp. 6–14.
Meshii, T. and Tanaka, T., Experimental T33-stress formulation of test specimen thickness effect on fracture toughness in the transition temperature region, Eng. Fracture Mech., 2010, vol. 77, pp. 867–877.
Nakamura, T. and Parks, D.M., Determination of elastic T-stress along three-dimensional crack fronts using an interaction integral, Int. J. Solids Struct., 1992, vol. 29, pp. 1597–1611.
Morozov, E.M., Muzemnek, A.Yu., and Shadskii, A.S., ANSYS v rukakh inzhenera: Mekhanika razrusheniya (ANSYS for Engineers: Fracture Mechanics), Moscow: LENAND, 2008.
Aliha, M.R.M., Ayatollahi, M.R., Smith, D.J., and Pavier, M.J., Geometry and size effects on fracture trajectory in a limestone rock under mixed mode loading, Eng. Fracture Mech., 2010, vol. 7, pp. 2200–2212.
Author information
Authors and Affiliations
Additional information
Original Russian Text © Yu.G. Matvienko, A.S. Chernyatin, I.A. Rasumovskii, 2013, published in Problemy Mashinostroeniya i Nadezhnosti Mashin, 2013, No. 4, pp. 40–48.
About this article
Cite this article
Matvienko, Y.G., Chernyatin, A.S. & Rasumovskii, I.A. Numerical analysis of the components of the three-dimensional non-singular stress field at a mixed-type crack tip. J. Mach. Manuf. Reliab. 42, 293–299 (2013). https://doi.org/10.3103/S1052618813040092
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1052618813040092