Contact Mechanics of Articular Cartilage Layers: Asymptotic by Ivan Argatov, Gennady Mishuris

By Ivan Argatov, Gennady Mishuris

This e-book provides a accomplished and unifying method of articular touch mechanics with an emphasis on frictionless touch interplay of skinny cartilage layers. the 1st a part of the ebook (Chapters 1–4) stories the result of asymptotic research of the deformational habit of skinny elastic and viscoelastic layers. A complete assessment of the literature is mixed with the authors’ unique contributions. The compressible and incompressible instances are handled individually with a spotlight on certain ideas for asymptotic versions of frictionless touch for skinny transversely isotropic layers bonded to inflexible substrates formed like elliptic paraboloids. the second one half (Chapters five, 6, and seven) bargains with the non-axisymmetric touch of skinny transversely isotropic biphasic layers and offers the asymptotic modelling technique for tibio-femoral touch. The 3rd a part of the ebook contains bankruptcy eight, which covers touch difficulties for skinny bonded inhomogeneous transversely isotropic elastic layers and bankruptcy nine, which addresses a variety of perturbational elements in touch difficulties and introduces the sensitivity of articular touch mechanics.

This ebook is meant for complicated undergraduate and graduate scholars, researchers within the region of biomechanics, and engineers and eager about the research and layout of thin-layer structures.

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Sci. 32, 129–132 (1990) 9. : Imperfect soft and stiff interfaces in two-dimensional elasticity. Mech. Mater. 33, 309–323 (2001) 10. : Nonlinear Solid Mechanics. Bifurcation Theory and Material Instability. Cambridge University Press, Cambridge (2012) 11. : A critical review on idealization and modeling for interaction among soil-foundation-structure system. Comput. Struct. 80, 1579–1594 (2002) 12. : Les inéquations en mécanique et en physique. Dunod, Paris (1972) 13. : Three-dimensional stress distributions in hexagonal aeolotropic crystals.

36) and depends on the punch shape function ϕ(y). 59) is given by Eq. 42), takes the form p(y) = A33 δ0 − ϕ(y) h + . 62) + with the maximum contact pressure p0 = A33 δ0 . 62) over the contact area and taking into account Eqs. 63), we obtain the force-displacement relationship F= π h R1 R2 A33 δ02 . 64) 14 1 Deformation of a Thin Bonded Transversely Isotropic Elastic Layer Thus, for a thin compressible elastic layer, the contact pressure beneath the punch in the leading asymptotic term is proportional to the local indentation [see Eqs.

Mathematical Modeling of Solids with Nonregular Boundaries. CRC-Press, Boca Raton (1995) 27. : Introduction to Perturbation Techniques. Wiley, New York (1993) 28. : Asymptotic solutions for axisymmetric contact of a thin, transversely isotropic elastic layer. Wear 260, 693–698 (2006) 29. : Theory of Elasticity. Pergamon Press, New York (1961) 30. : On a New Method of Analysis of an Elastic Foundation by Means of TwoConstants [in Russian]. Gosudarstvennoe Izdatelstvo Literatury po Stroitelstvu i Arkhitekture, Moscow (1954) 31.

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