Analysis of a Functionally Graded Finite Wedge Under Antiplane Deformation
Subject Areas :
Mechanics of Solids
A. R Shahani
1
,
I Shakeri
2
1 - Faculty of Mechanical Engineering, Department of Applied Mechanics, K.N. Toosi University of Technology, Tehran, Iran
2 - Laboratory of Fracture Mechanics, Department of Applied Mechanics, K.N. Toosi University of Technology, Tehran, Iran
Received: 2022-03-22
Accepted : 2022-05-25
Published : 2022-09-01
Keywords:
References:
Tranter C.J., 1948, The use of the Mellin transform in finding the stress distribution in an infinite wedge, The Quarterly Journal of Mechanics and Applied Mathematics 1: 125-130.
Williams M.L., 1952, Stress singularities resulting from various boundary conditions in angular corners of plates in extension, Journal of Applied Mechanics 19: 526-528.
Bogy D.B., 1972, The plane solution for anisotropic elastic wedges under normal and shear loading, Journal of Applied Mechanics 39: 1103-1109.
Kuo M.C., Bogy D.B., 1974, Plane solutions for the displacement and traction-displacement problems for anisotropic elastic wedges, Journal of Applied Mechanics 41: 197-202.
Kuo M.C., Bogy D.B., 1974, Plane solutions for traction problems on orthotropic unsymmetrical wedges and symmetrically twinned wedges, Journal of Applied Mechanics 41: 203-208.
Dempsey J.P., Sinclair G.B., 1979, On the stress singularities in the plane elasticity of the composite wedge, Journal of Elasticity 9: 373-391.
Dempsey J.P., 1981, The wedge subjected to tractions: a paradox resolved, Journal of Elasticity 11: 1-10.
Ting T.C.T., 1984, The wedge subjected to tractions: a paradox re-examined, Journal of Elasticity 14: 235-247.
Ting T.C.T., 1985, Elastic wedge subjected to antiplane shear traction – a paradox explained, The Quarterly Journal of Mechanics and Applied Mathematics 38: 245-255.
Ma C.C., Hour B.L., 1989, Analysis of dissimilar anisotropic wedges subjected to antiplane shear deformation, International Journal of Solids and Structures 25: 1295-1309.
Kargarnovin M.H., Shahani A.R., Fariborz S.J., 1997, Analysis of an isotropic finite wedge under antiplane deformation, International Journal of Solids and Structures 34: 113-128.
Shahani A.R., 1999, Analysis of an anisotropic finite wedge under antiplane deformation, Journal of Elasticity 56: 17-32.
Shahani A.R., Adibnazari S., 2000, Analysis of perfectly bonded wedges and bonded wedges with an interfacial crack under antiplane shear loading, International Journal of Solids and Structures 37: 2639-2650.
Shahani A.R., 2003, Mode III stress intensity factors for edge-cracked circular shafts, bonded wedges, bonded half planes and DCB’s, International Journal of Solids and Structures 40: 6567-6576.
Faal R.T., Fotuhi A.R., Fariborz S.J., Daghyani H.R., 2004, Antiplane stress analysis of an isotropic wedge with multiple cracks, International Journal of Solids and Structures 41: 4535-4550.
Lin R.L., Ma C.C., 2004, Theoretical full-field analysis of dissimilar isotropic composite annular wedges under anti-plane deformations, International Journal of Solids and Structures 41: 6041-6080.
Shahani A.R., 2005, Some problems in the antiplane shear deformation of bi-material wedges, International Journal of Solids and Structures 42: 3093-3113.
Shahani A.R., 2006, Mode III stress intensity factors in an interfacial crack in dissimilar bonded materials, Archive of Applied Mechanics 75: 405-411.
Faal R.T., Fariborz S.J., Daghyani H.R., 2007, Stress analysis of a finite wedge weakened by cavities, International Journal of Mechanical Sciences 49: 75-85.
Shahani A.R., 2007, On the antiplane shear deformation of finite wedges, Applied Mathematical Modelling 31: 141-151.
Chen C.H., Wang C.L., Ke C.C., 2009, Analysis of composite finite wedges under anti-plane shear, International Journal of Mechanical Sciences 51: 583-597.
Shahani A.R., Ghadiri M., 2009, Analysis of bonded finite wedges with an interfacial crack under antiplane shear loading, The Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 223(10): 2213-2223.
Shahani A.R., Ghadiri M., 2010, Analysis of anisotropic sector with a radial crack under anti-plane shear loading, International Journal of Solids and Structures 47: 1030-1039.
Ghadiri M., Shahani A.R., 2012, Mode III fracture analysis of an anisotropic finite wedge with an interfacial crack, Mathematics and Mechanics of Solids 7: 1-14.
Ghadiri M., Shahani A.R., 2014, Analysis of bonded anisotropic wedges with interface crack under anti-plane shear loading, Applied Mathematicsand Mechanics 35(5): 637-654.
Eder M.A., Sarhadi A., 2020, A semi-analytical stress correction method for bi-material Mode-III V-notches, Theoretical and Applied Fracture Mechanics 106: 102443.
Sneddon I.N., 1972, The Use of Integral Transforms, McGraw-Hill, New York.
Stakgold I., 2011, Green’s Functions and Boundary Value Problems, Wiley, New York.
Duffy D.G., 2015, Green’s Functions with Application, CRC Press, Boca Raton.
Dassault Systèmes, 2014, Abaqus Product Documentation: Abaqus Analysis User’s Manual, Providence, RI, Version 6.14-2.