Engineering Transactions, 39, 1, pp. 75-96, 1991

On the Kinematically Admissible Solution Applied to the Theoretical Analysis of Shoving Processes

W. Trąmpczyński
Institute of Fundamental Technological Research, Warszawa

A. Jarzębowski
Institute of Fundamental Technological Research, Warszawa

The paper concerns a simplified theoretical analysis of such complex soil shoving processes as, for example, the process of moving walls in a way similar to heavy machine tools (e.g. bucket of a loading machine). Assuming the material to be rigid-perfectly plastic with strain behaviour governed by the Coulomb-Mohr yield criterion and associated flow rule, simple kinematically admissible solutions were found. It was shown that, using this technique step by step, it was possible to analyse complex processes and even to find more effective loading paths.

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W.SZCZEPIŃSKI, Limit states and kinematics of granular media [in Polish], PWN, 1974.

W.SOKOŁOWSKI, Statics of granular media [in Polish], PWN, 1958.

R.IZBICKI, Z.MRÓZ, Limit state analysis in mechanics of solids and rocks [in Polish], PWN, 1976.

W.TRĄMPCZYŃSKI, Mechanics of earth-moving processes as a problem of plasticity theory [in Polish], Ph.D.-Dissertation, IFTR Rep., 1975.

W.TRĄMPCZYŃSKI, Experimental study of kinetics of soil shoving, Bull. Acad.Polon. Sci., Série Sci.Techn., 25, 11, 1977.

W.TRĄMPCZYŃSKI, D.SZYBA, Kinematically admissible solutions for the incipient stage of earth-moving processes in the cases of various pushing wall forms, Enging. Trans., 39, 1, 1991.

O.ZIENKIEWICZ, K.LUENG, M.PASTOR, Simple model for transient soil loading in earthquake analysis. Basic model and its application, Int. J. Num. Anal. Methods Geomech., 19, 453-476, 1985.

W.TRĄMPCZYŃSKI, B.PONDER, Mechanics of earth-moving processes by means of earth work tools [in Polish], IFTR Rep., 7, 1978.

W.SZCZEPIŃSKI, H.WINEK, Experimental study of granular medium kinetics for certain boundary-value problem, [in Polish], Rozpr.Inżyn., 20, 1, 1972.

A.DRESCHER, Application of optically sensitive model materials to the stress analysis in granular media [in Polish], Mech.Teoret. i Stos., 8, 4, 1970.

B.PAUL, A modification of the Coulomb-Mohr theory of fracture, J.Appl.Mech., Trans. ASME, 28, 1961.

J.MACIEJEWSKI, Incremental analysis of earth-moving mechanisms [in Polish], M.Sc.­Dissertation, Politechnika Warszawska 1987.

T.JESKE, T.PRZEDECKI, B.ROSIŃSKI, Soil mechanics [in Polish], PWN, 1966.

A.JARZĘBOWSKI, Z.MRÓZ, On slip and memory rules in the elastic friction contact problems [in print].

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