On an integral equation governing an internally indented penny-shaped crack
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Cited by (14)
On the compression of a rigid disc by finitely deformed elastic halfspaces
2022, International Journal of Solids and StructuresIn-plane loading of a bonded rigid disc inclusion embedded at a pre-compressed elastic interface: The role of non-linear interface responses
2020, Mechanical Systems and Signal ProcessingCitation Excerpt :It is convenient to group these in relation to specific classes of problems, bearing in mind that some of the studies reported previously should be consulted to complete the list. The categories include (i) rigid or flexible, complete or annular disc inclusions in isotropic or transversely isotropic elastic, infinite or halfspace domains and subjected to direct forces or forces located in the medium exterior to the inclusion [56–81], (ii) disc inclusions located in extended domains or halfspace domains, with detached interfaces and interaction of disc inclusions with cracks [82–98], (iii) disc inclusions initiating unilateral contact [99–102], (iv) disc inclusions in bi-material and non-homogeneous regions [103–113] and (v) disc inclusions in poroelastic, piezo-ceramic and creep susceptible media [114–117]. It must be emphasized that the references cited are not meant to be a comprehensive review of the disc inclusion problem.
Contact mechanics of a dilatant region located at a compressed elastic interface
2018, International Journal of Engineering ScienceCitation Excerpt :The elliptical contact profile in particular, can be successfully used in conjunction with Galin's hypothesis (Galin, 1961) to “bound” the response of contact profiles with an arbitrary plan form. The accuracy of the series approximation solution for the stress intensity factor has also been verified through comparisons with a quadrature scheme based solutions of (6) (Selvadurai, 1985). A number of other relationships can be postulated to accommodate the process of dilatancy degradation with increasing relative shear and a development where the degradation of the dilatancy angle is related to the plastic energy dissipation in the contact zone is presented in Appendix B.
Frictionless contact of a rigid disk with the face of a penny-shaped crack in a transversely isotropic solid
2017, International Journal of Solids and StructuresCitation Excerpt :Selvadurai (1980) studied a penny-shaped crack in an incompressible elastic infinite medium under finite radial stretching in axisymmetric condition. For the symmetric indentation of a penny-shaped crack by a smoothly embedded rigid circular thin disc inclusion one might refer to Selvadurai and Singh (1984) and for the internal loading of a flat annular crack in an isotropic elastic solid to Selvadurai and Singh (1985) and for the axial interaction of a disc inclusion embedded in a penny-shaped crack to Selvadurai (1985), Selvadurai and Singh (1986) and Tan and Selvadurai (1986). Singh et al. (1986) studied the uniform motion of two cracks in an elastic layer in bonded contact with two elastic half-spaces.
The indentation of a precompressed penny-shaped crack
2000, International Journal of Engineering ScienceSeparation at a pre-fractured bi-material geological interface
1994, Mechanics Research Communications