On the determination of the surface of bulging material caused by the penetration of a thin blade into a plastic half-space

The plane and axisymmetrical linearized problems of penetration of thin bodies into a plastic half-space were considered in [1] and [2]. In [3] linearized equations of some three-dimensional problems of the theory of ideal plasticity were considered. In the present work, a problem of a thin blade in...

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Bibliographic Details
Published in:Journal of applied mathematics and mechanics 1961, Vol.25 (2), p.487-492
Main Author: Ivlev, D.D
Format: Article
Language:English
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Summary:The plane and axisymmetrical linearized problems of penetration of thin bodies into a plastic half-space were considered in [1] and [2]. In [3] linearized equations of some three-dimensional problems of the theory of ideal plasticity were considered. In the present work, a problem of a thin blade into a plastic half-space is investigated. An analogy is established between the linearized theory of ideal plasticity and gas dynamics. This circumstance permits the utilization of the results obtained in the theory of a wing of finite span [4,5] for the determination of the velocity field and displacements for a problem of penetration of a thin blade into a plastic half-space.
ISSN:0021-8928
0021-8928
DOI:10.1016/0021-8928(61)90080-6