Engineering Transactions, 39, 1, pp. 123-134, 1991

Brief Notes: Kinematically Admissible Solutions for the Incipient Stage of Earth Moving Processes in the Cases of Various Pushing Wall Forms

W Trąmpczyński
Institute of Fundamental Technological Research, Warszawa

D. Szyba
Institute of Fundamental Technological Research, Warszawa

Kinematically admissible solutions for earth-moving processes due to various pushing wall forms (similar to the various tool shapes of loading machines as loaders, excavators, bulldozers) are presented in the case of plane strain conditions. On the basis of the mathematical theory of plasticity, theoretical solutions are obtained assuming the associated flow rule and the Coulomb-Mohr limit state, regarding incipient plastic motion. The analysis of several boundary problems shows that using only three types of simple kinematically admissible mechanisms it is possible to obtain results close to complete solutions or statically admissible solutions (obtained using the method of characteristics) for both the pushing force estimation and the motion area range.

Full Text: PDF


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

Z.MRÓZ, A.DRESCHER, Foundations of plasticity theory of granular media [in Polish], Wyd. PAN, 1972.

E.DEMBICKI, Limit states of soil: theory and applications [in Polish], Gdańskie Tow. Naukowe, 1970.

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

R.lZBICKI, Z.MRÓZ, Ultimate load capacity methods in soil and rock mechanics [in Polish], PWN, 1976.

A.DRESCHER, On certain kinematic solutions of plane flow of granular material [in Polish], Prace IPPT, 31, 1972.

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

W.TRĄMPCZYŃSKI, Experimental study of kinematics of soil shoving, Bull. Acad. Polon. Sci., Serie Sci.Tech., 25, 11, 1977.

L.DIETRICH, W.TRĄMPCZYŃSKI, Extension of the state of stress into the rigid region in certain solutions of soil mechanics [in Polish], Rozpr. Inżyn., 22, 4, pp. 631-644, 1974.

W.TRĄMPCZYŃSKI, Analysis of kinematically admissible solutions in the problem of thrust distribution over walls of various forms [in Polish], Mech. Teoret. i Stos., 15, 1, 1977.

A.DRESCHER, G. DE JOSSELIN DE JONG, Photoelastic verification of a mechanical model for the flow of a granular material, J. Mech. Phys. Solids, 20, 1972.

K.TERZAGHI, Theoretical soil mechanics, J. Wiley, London 1948.

D.DRUCKER., W.PRAGER, Soil mechanics and plastic analysis of limit design, Quart. Appl. Math., 10, 157-165, 1959.

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

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

Copyright © 2014 by Institute of Fundamental Technological Research
Polish Academy of Sciences, Warsaw, Poland