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Inclined surface cracks in a graded half-plane subjected to frictional sliding contact

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Języki publikacji
EN
Abstrakty
EN
Fracture parameters of an inclined surface crack in a graded half-plane subjected to sliding frictional contact are investigated in this study. The problem is modelled via the finite element method (FEM) under the plane strain assumption employing a newly developed displacement boundary condition. The shear modulus of the half-plane is graded exponentially through the thickness direction by means of the homogeneous finite element approach. The augmented Lagrange algorithm is selected as an iterative contact solver. The mixed mode stress intensity factors (SIFs) which are induced by the contact stresses are evaluated utilizing the Displacement Correlation Technique (DCT). The accuracy of the present procedure is ensured comparing the SIF results to those calculated by an analytical method for vertical surface cracks. Additional SIF curves are generated as functions of the crack inclination in order to reveal the effects of non-homogeneity, punch location, crack length and friction coefficient. The prominent conclusion of this study indicates that the crack orientation has profound effects on the behavior of SIF curves, which has not been presented in any study published so far. Hence, consideration of crack inclination is proved essential to successfully predict fracture behavior of a graded medium under frictional contact.
Rocznik
Strony
915—925
Opis fizyczny
Bibliogr. 23 poz.
Twórcy
autor
  • Eskisehir Osmangazi University, Department of Mechanical Engineering, Eskisehir, Turkey
Bibliografia
  • 1. ANSYS Inc., 2013, Ansys Basic Analysis Procedures Guide – Release 15, Ansys Inc., Canonsburg
  • 2. Arslan O., 2017, Computational contact mechanics analysis of laterally graded orthotropic halfplanes, World Journal of Engineering, 14, 145-154
  • 3. Dag S., 2001, Crack and contact problems in graded materials, Ph.D. Thesis, Lehigh University, Bethlehem
  • 4. Dag S., Apatay T., Guler M.A., Gulgec M., 2012, A surface crack in a graded coating subjected to sliding frictional contact, Engineering Fracture Mechanics, 80, 72-91
  • 5. Dag S., Erdogan F., 2002, A surface crack in a graded medium loaded by a sliding rigid stamp, Engineering Fracture Mechanics, 69, 1729-1751
  • 6. Dag S., Guler M.A., Yildirim B., Ozatag A.C., 2009, Sliding frictional contact between a rigid punch and a laterally graded medium, International Journal of Solids and Structures, 46, 4038-4053
  • 7. Dag S., Yildirim B. and Sarikaya D., 2007, Mixed-mode fracture analysis of orthotropic functionally graded materials under mechanical and thermal loads, International Journal of Solids and Structures, 44, 7816-40
  • 8. El-Borgi S., Keer L., Wissem B.S., 2004, An embedded crack in a functionally graded coating bonded to a homogeneous substrate under frictional Hertzian contact, Wear, 257, 760-776
  • 9. El-Borgi S., Keer L., Wissem B.S., 2013, An embedded crack in a functionally graded orthotropic coating bonded to a homogeneous substrate under frictional Hertzian contact, International Journal of Solids and Structures, 50, 3898-3910
  • 10. Faanes S., 1995, Inclined cracks in fretting fatigue, Engineering Fracture Mechanics, 80, 6, 71-82
  • 11. Giner E., Sabsabi M., Rodenas J.J., Fuenmayor F.J., 2014, Direction of crack propagation in a complete contact fretting-fatigue problem, International Journal of Fatigue, 58, 172-180
  • 12. Hasebe N., Okumura M., Nakamura T., 1989, Frictional punch and crack in plane elasticity, Journal of Engineering Mechanics, 115, 6, 1137-1149
  • 13. Hills D.A., Nowell D., Sackfield A., 1993, Mechanics of Elastic Contacts, Butterworth- -Heinemann, London
  • 14. Jitcharoen J., Padture N.P., Giannakopoulos A.E., Suresh S., 1998, Hertzian-Crack suppression in ceramics with elastic-modulus-graded surfaces, Journal of the American Ceramic Society, 81, 9, 2301-2308
  • 15. Jones R.M., 1998, Mechanics of Composite Materials, Taylor & Francis, Philadelphia
  • 16. Kim J-H., Paulino G.H., 2003, Mixed-mode J-integral formulation and implementation using graded elements for fracture analysis of nonhomogeneous orthotropic materials, Mechanics of Materials, 35, 107-128
  • 17. Lawn B., 1998, Indentation of ceramics with spheres: a century after Hertz, Journal of the American Ceramic Society, 81, 8, 1977-1994
  • 18. Mijar A.R., Arora J.S., 2004, An augmented Lagrangian optimization method for contact analysis problems, 1: formulation and algorithm, Structural Multidisciplinary Optimization, 28, 99-112
  • 19. Perez N., 2004, Fracture Mechanics, Kluwer Academic Publishers, Boston
  • 20. Santare M.H., Lambros J., 2000), Use of graded finite elements to model behavior of nonhomogeneous materials, Journal of Applied Mechanics, 67, 819-822
  • 21. Sarikaya D., Dag S., 2016, Surface cracking in an orthotropic medium subjected to frictional contact, International Journal of Solids and Structures, 90, 1-11
  • 22. Surresh S., 2001, Graded materials for resistance to contact deformation and damage, Science, 292, 5526, 2447-2451
  • 23. Zhang Y., 2012, Overview: damage resistance of graded ceramic restorative materials, Journal of the European Ceramic Society, 32, 11, 2623-2632
Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-e3a7ab23-6e6d-47bc-a04f-1b6694dcc930
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