Huang Li-du, Wang Qin-que, Mak Fak-tat Arthur. A Mixed Method for the Creep of a Skin Layer[J]. Applied Mathematics and Mechanics, 1994, 15(12): 1075-1082.
Citation: Huang Li-du, Wang Qin-que, Mak Fak-tat Arthur. A Mixed Method for the Creep of a Skin Layer[J]. Applied Mathematics and Mechanics, 1994, 15(12): 1075-1082.

A Mixed Method for the Creep of a Skin Layer

  • Received Date: 1994-03-15
  • Publish Date: 1994-12-15
  • The creep of a skin layer under a distributed surface pressure was solved by ananalysical method using Hankel transform and Laplace transform.The surface stress boundary conditions lead to a Volterra integral equation of the first kind, which was then solved by a numerical method.The IMSL subroutines DINLAP and DGORUL were employed to numerically obtain the Hankel-Laplace inversion. The calculated displacements at two distinctive moments were compared respectively with those obtained by an elastic solution for either in compressible or compressible solid. The transient creep responses of the skin layer were also presented.
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  • [1]
    Torzilli, P.A, and Y.C.Mow.,On the fundamental fluid transport mechanisms through normal and pathological articular cartilage during function,PartⅡ:The analysis, solution and conclusions, J.Biomecbanics, 8(1976), 587-606.
    [2]
    Mow, V.C.and J.M, Mansour, The nonlinear interaction between cartilage deformation and interstitial fluid flow, J.Biomechanics, 10 (1977), 31-39.
    [3]
    Mow, V.C.,S, C.Kuei, W, M. Lai and C.G, Armstrong, Biphasic creep and stress relaxation of articular cartilage in compression:Theory and experiments,J, Biomechanical Engineering, 102(1980), 73-84.
    [4]
    Mow, V.C.,M, K. Kwan,W, M, Lai and W, H, Holmes, A finite deformation theory for nonlinear permeable soft hydrated biological tissues, in Frontiers in Biomechanics, cd. by G.W, Schmid-Schonbein, S, L, Y.Woo and B, W,Zweifach, Springer-Verlag (1986).
    [5]
    Bowen, R.M,,Theory of mixtures, Continuum Phgsics, j,ed. by A, C.Eringen, Academic Press, New York (1978).
    [6]
    Crane, R.E.,A, E.Green and P.M. Naghdi, A mixture of viscoelastic materials with different constituent temperatures, Quart.J.Mech, Appl, Maih,,23(1970), 171-184.
    [7]
    Green, A, E.and P.M, Naghdi, The flow of fluid through an elastic solid,Acta Mech.,9(1970), 329-340.
    [8]
    Mak, A, F, T.,W, M, Lai and V.C.Mow, Biphasic indentation of articular cartilage, Part Ⅰ:Theoretical analysis, J.Biomechanics, 20(1987), 703-714.
    [9]
    Monaneo, J, and R,E.Gibscn, Displawement functions and linear transforms applied to diffusior. through porous-lastic media, Q::art.J.Mech, Appl.Math,,Z3 (1980), 98-111.
    [10]
    Poulos, H, G, and E, H, Da.vis, Elastic Solutions for Soil and Rock Mechanics,Wiley(1974).
    [11]
    Sneddon, I, N.,Fourier Transforms, McGraw-Hill, New York(1951).
    [12]
    钱伟长、叶开沅、《弹性力学》,科学出版社(1980).
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