Engineering Transactions, 19, 1, pp. 15–42, 1971

Pewne Problemy Brzegowe dla Ciał Rozdrobionych o Wzmocnieniu Gęstościowym

Z. Mróz
Instytut Podstawowych Problemów Techniki, Warszawa

K. Kwaszczyńska
Instytut Podstawowych Problemów Techniki, Warszawa

Consideration is given to a model of a granular medium which is time-independent, elastic­plastic, with the yield condition depending on the stress state and the variable material density. Due to density variation, the initial yield surface may expand, contract or undergo more complex changes. Constitutive rate equations are derived and applied to the problem of a thick-walled tube subjected to internal! pressure. Both stable and unstable behaviour is discussed assuming the axi-symmetric deformation mode for large and small plastic deformations.
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D. C. DRUCKER, R. E. GIBSON, D. J. HENKEL, Soil mechanics and workhardening theories of plasticity, Trans. Am. Soc. Civ. Engrs., 122, 338 -346, 1957.

K. H. ROSCOE, H. B. POOROOSHASB, A theoretical and experimental study of strains in triaxial compression tests on normally consolidated clays, Geotechnique, 13, 12 -38, 1963.

A. W. JENIKE, R. T. SHIELD, On the plastic flow of Coulomb solids beyond original failure, J. AppI. Mech., 29, 599-602, 1959.

A. C. Григорян, 06 ocHOBHbix представлениях duHaMw« epywnoe, Ilprmm. MaT. Mex., 24,

- 1072, I960.

Z. MRÓZ, A. DRESCHER, Limit plasticity approach to some cases of flow of hulk solids, J. Eng. for Industry, 91, 2, 1969.

W. PARISEAU, Gravity flows of ideally plastic material through slots, J. Eng. for Industry, 91, 2, 414-423, l.969.

Z. MRÓZ, On a theory of density-hardening media, Acta Mech. (w druku).

P. R. PASLAY, J. P. WEIDLER, Analysis of triaxial test for granular soils, J. Engng. Mech. Div., Proc. ASCE, 95, NO EM3, 587 -609, June 1969.