Journal ArticleDOI
Non-symmetric indentation of an elastic half-plane
S. Saha,Apurba Das +1 more
TLDR
In this article , the problems of wave propagation in a half-space due to the indentation by a rigid wedge at a constant speed and by a parabolic punch at constant acceleration have been considered separately.Abstract:
In this work, the problems of wave propagation in a half-space due to the indentation by a rigid wedge at a constant speed and by a parabolic punch at a constant acceleration have been considered separately. The elastodynamics problems of non-symmetric indentation over a contact region expanding at a constant speed and constant acceleration have been solved using the method of homogeneous functions. Following Cherepanov and Cherepanov et al., the general solution of the problems has been derived in terms of an analytic function of complex variables. The expressions for the stress component under the contact region and the torque over the contact region have been derived. Numerical results of the particular cases of the Problems I and III and of the Problems II and IV have been presented in the form of graphs. This work and its applications are expected to be helpful in the study of indentation-related problems of solid mechanics.read more
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Posted ContentDOI
Indentation of an elastic half-space by four moving punches
TL;DR: In this paper , the Fourier integral transform (FIFT) was used to solve the dynamic and static problems of finding stress component under four moving punches (a ≤ |X| ≤ b, c ≤ | X| ≤ d), located closely to each other over an elastic half-plane (Y = 0), and exact expressions for the stress components under the punches and the normal displacement component in the regions outside the punches were derived.
References
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Journal ArticleDOI
A review of recent works on inclusions
TL;DR: A comprehensive survey of recent works on inclusion in an infinite space, a half-space under prescribed surface loading or a halfspace under surface contact loading or in a finite space can be found in this paper.
Mechanics of brittle fracture
TL;DR: In this paper, the authors presented some data on FRACTURE CRITERIA, and outlined the BRITTLE FRACTure Theories and studied exact solutions to the PROBLEMS of FISSURATION.
Journal ArticleDOI
Some dynamic problems of the theory of elasticity—a review
G.P. Cherepanov,E.F. Afanas'ev +1 more
TL;DR: In this paper, a complete solution for one class of self-similar problems of dynamic theory of elasticity is given on the basis of functionally-invariant solution of the wave equation, suggested by Smirnov and Sobolev.