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Surface Green’s functions in finite plane elastostatics of harmonic materials

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Języki publikacji
EN
Abstrakty
EN
The closed-form representations of surface Green’s functions corresponding to the action of a concentrated force applied at the boundary of a region occupied by a particular class of compressible hyperelastic materials of harmonic type, has been derived. In our analysis, we consider both a bounded region in the form of a circular disk and an unbounded region with either an elliptical hole or a parabolic boundary.
Rocznik
Strony
151--159
Opis fizyczny
Bibliogr. 19 poz.
Twórcy
autor
  • School of Mechanical and Power Engineering East China University of Science and Technology 130 Meilong Road Shanghai 200237, China
autor
  • Department of Mechanical Engineering University of Alberta 10-203 Donadeo Innovation Centre for Engineering Edmonton, Alberta Canada T6G 1H9
Bibliografia
  • 1. N.I. Muskhelishvili, Some Basic Problems of the Mathematical Theory of Elasticity, P. Noordhoff Ltd., Groningen, 1953.
  • 2. S. Timoshenko, J.N. Goodier, Theory of Elasticity, McGraw-Hill Book Co. Inc., New York, 1970.
  • 3. T.C.T. Ting, Anisotropic Elasticity-Theory and Applications, Oxford University Press, New York, 1996.
  • 4. T.C.T. Ting, Y. Hu, H.O.K. Kirchner, Anisotropic elastic materials with a parabolic or hyperbolic boundary: a classical problem revisited, ASME Journal of Applied Mechanics, 68, 537–542, 2001.
  • 5. J.R. Willis, Inclusions and cracks in constrained anisotropic media, [in:] Wu, J.J., Ting, T.C.T., Barnett, D.M. (Eds.), Modern Theory of Anisotropic Elasticity and Applications SIAM, Philadelphia, pp. 87–102, 1991.
  • 6. D. Bigoni, D. Capuani, Green’s function for incremental nonlinear elasticity: shear bands and boundary integral formulation, Journal of the Mechanics and Physics of Solids, 50, 471–500, 2002.
  • 7. D. Bigoni, D. Capuani, Time-harmonic Green’s function and boundary integral formulation for incremental nonlinear elasticity: dynamics of wave patterns and shear bands, Journal of the Mechanics and Physics of Solids, 53, 1163–1187, 2005.
  • 8. L. Argani, D. Bigoni, D. Capuani, N.V. Movchan, Cones of localized shear strain in incompressible elasticity with prestress: Green’s function and integral representations, Proceedings of the Royal Society of London A, 470, 20140423, 2014.
  • 9. F. John, Plane strain problems for a perfectly elastic material of harmonic type, Communications on Pure and Applied Mathematics, XIII, 239–290, 1960.
  • 10. E. Varley, E. Cumberbatch, Finite deformation of elastic materials surrounding cylindrical holes, Journal of Elasticity, 10, 341–405, 1980.
  • 11. C.Q. Ru, On complex-variable formulation for finite plane elastostatics of harmonic materials, Acta Mechanica, 156, 219–234, 2002.
  • 12. C.Q. Ru, P. Schiavone, L.J. Sudak, A. Mioduchowski, Uniformity of stresses inside an elliptical inclusion in finite elastostatics, International Journal of Non-Linear Mechanics, 40, 281–287, 2005.
  • 13. G.F. Wang, P. Schiavone, C.Q. Ru, Harmonic shapes in finite elasticity under nonuniform loading, ASME Journal of Applied Mechanics, 72, 691–694, 2005.
  • 14. G.F. Wang, T.J. Wang, P. Schiavone, The contact problem in a compressible hyperelastic material, ASME Journal of Applied Mechanics, 74, 829–831, 2007.
  • 15. C.I. Kim, P. Schiavone, Designing an inhomogeneity with uniform interior stress in finite plane elastostatics, Acta Mechanica, 197, 285–299, 2008.
  • 16. C.I. Kim, P. Schiavone, Finite plane deformations of a three-phase circular inhomogeneity-matrix system, Journal of Mathematical Analysis and Applications, 353, 161–171, 2009.
  • 17. X. Wang, P. Schiavone, Neutral coated circular inclusions in finite plane elasticity of harmonic materials, European Journal of Mechanics–A/Solids, 33, 75–81, 2012.
  • 18. X. Wang, P. Schiavone, Deformation of harmonic solids with cusp cracks, IMA Journal of Applied Mathematics, 79, 790–803, 2014.
  • 19. X. Wang, P. Schiavone, Harmonic three-phase circular inclusions in finite elasticity, Continuum Mechanics and Thermodynamics, 27, 739–747, 2015.
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-bbe17b77-fd9c-45ef-a6f4-513e121c4bd8
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