An elastic contact problem for a half-space indented by a flat annular rigid stamp
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Q. J. Mech. appl. Math
(1963)
Cited by (26)
Axisymmetric torsion problem by a rigid disc of an elastic half-space weakened by an annular crack
2023, Theoretical and Applied Fracture MechanicsCitation Excerpt :The case of non uniform crack loading was considered by Mastrojannis [13]. Many works were devoted to the analogous punch problems such as Shibuya [14] and Mastojannis [15]. The studied problems were reduced by the Hankel transforms technique to triple integral equations.
A generalized solution to the combo-crack problem—II. Remote load
2022, Journal of the Mechanics and Physics of SolidsIncomplete contact between a coated elastic substrate and rigid foundation perturbed by a rigid disc
2020, International Journal of Solids and StructuresAnnular crack in an elastic half-space
2019, International Journal of Engineering ScienceCitation Excerpt :The same problem was considered by Shibuya, Nakahara, and Koizumi (1975) in which a semi-analytical approach was introduced to reduce the governing triple integral equations to an infinite algebraic system. This method has been developed to further investigate axisymmetric annular crack and punch problems (Hara, Sakamoto, Shibuya, & Koizumi, 1986; Koizumi, Shibuya, Nakahara, & Tanaka, 1977; Shibuya, Koizumi, & Nakahara, 1974, 1976; Shibuya, Koizumi, Nakahara, & Tanaka, 1977). Mastrojannis and Kermanidis (1981) proposed a simple numerical method to develop an approximate solution of an axisymmetric annular crack problem in an infinite elastic solid.
The mechanics of decompressive craniectomy: Bulging in idealized geometries
2016, Journal of the Mechanics and Physics of SolidsCitation Excerpt :Although it is likely that a solution may have been presented in the Russian literature (Dostoevsky, 1868), to the best of our knowledge, no explicit analytical treatment of the bulging problem exists. We also note that the solution to the bulging problem can be obtained by taking the proper limit of the annular punch problem (Roitman and Shishkanova, 1973; Shibuya et al., 1974; Kumar and Hiremath, 1982; Gladwell and Gupta, 1979; Barber, 1983) when the outer radius goes to infinity. However, there is no closed-form solution for this particular three-point boundary-value problem and it is more informative to completely solve a simple problem than to take the limit of a complicated one.
An approximate analytical solution of the integral equations of non-axisymmetric contact problems for a ring-shaped domain
2015, Journal of Applied Mathematics and Mechanics