Analysis of Mode III Fraction in Functionally Graded Plate with Linearly Varying Properties

Subject Areas : Engineering

M.R Torshizian ¹

1 - Mechanical Engineering Department, Mashhad Branch, Islamic Azad University

Received: 2014-04-16 Accepted : 2014-06-18 Published : 2014-09-30

Keywords:

References:

[1] Erdogan F., Kaya A.C., Joseph P.F., 1991, The crack problem in bonded nonhomogeneous materials, Journal of Applied Mechanics 58: 410-418.
[2] Erdogan F., Ozturk M., 1992, Diffusion problems in bonded nonhomogenous materials with an interface cut, International Journal of Solids and Structures 30: 1507-1523.
[3] Wang B., Mai Y., 2003, Anti-plane fracture of a functionally graded material strip, European Journal of Mechanics - A/Solids 22: 357-368.
[4] Chue C., Ou Y.L., 2005, Mode III crack problems for two bonded functionally graded piezoelectric materials, International Journal of Solids and Structures 42: 3321-3237.
[5] Hu K.Q., Zhong Z., Jin B., 2005, Anti-plane shear crack in a functionally gradient piezoelectric layer bonded to dissimilar half spaces, International Journal of Mechanical Sciences 47: 82-93.
[6] Ou Y., Chue C., 2006, Mode III eccentric crack in a functionally graded piezoelectric strip, International Journal of Solids and Structures 43: 6148-6164.
[7] Ma L., Li J., Abdelmoula R., Wu L.Z., 2007, Mode III crack problem in a functionally graded magneto-electro-elastic strip, International Journal of Solids and Structures 44: 5518-5537.
[8] Ma L., Wu L.Z., 2007, Mode III crack problem in a functionally graded coating-homogeneous substrate structure, Mechanical Engineering Science 222: 329-337.
[9] Yong H.D., Zhou Y.H., 2007, A mode 3 crack in a functionally graded piezoelectric strip bonded to two dissimilar piezoelectric half-planes, Composite Structures 79:404-410.
[10] Li Y.D., Lee K.Y., 2007, An anti-plane crack perpendicular to the weak micro discontinuous interface in a bi-FGM structure with exponential and linear non-homogeneities, International Journal of Fracture 146: 203-211.
[11] Li Y.D., Tan W., Lee K.Y., 2008, Stress intensity factor of an anti-plane crack parallel to the weak micro discontinuous interface in a bi-FGM composite, Acta Mechanica Solida Sinica 21: 34-43.
[12] Hsu W.H., Chue C.H., 2009, Mode III fracture problem of an arbitrarily oriented crack in an FGPM strip bonded to a homogeneous piezoelectric half-plane, Meccanica 44: 519-534.
[13] Torshizian M.R., Kargarnovin M.H., 2010, Anti-plane shear of an arbitrarily oriented crack in a functionally graded strip bonded with two dissimilar half-plane, Theoretical and Applied Fracture Mechanics 54: 180-188.
[14] Torshizian M.R., Kargarnovin M.H., Nasirai C., 2011, Mode III fracture of an arbitrarily oriented crack in two dimensional functionally graded material, Mechanics Research Communications 38: 164-169.
[15] Kargarnovin M.H., Nasirai C., Torshizian M.R., 2011, Anti-plane stress intensity, energy release and energy density at crack tips in a functionally graded strip with linearly varying properties, Theoretical and Applied Fracture Mechanics 56: 42-48.
[16] Polyanin A.D., 2002, Handbook of Linear Partial Differential Equations for Engineers and Scientists, Chapman and Hall/CRC.
[17] Jefrey A., Dai H.H, 2008, Handbook of Mathematical Formulas and Integrals, Elsevier Academic Press.
[18] Chan Y.S., Fannjiang A.C., Paulino G.H., 2003, Integral equation with hypersingular kernels theory and applications to fracture mechanics, International Journal of Engineering Science 41: 683-720.
[19] Kronrod A.S., 1965, Nodes and Weights of Quadrature Formulas, Consultants Bureau, New York.