On a Certain Theory of Plasticity Solutions for the Heavy Machine Earth-Working Process
The aim of this paper is to apply kinematic solutions of the theory of plasticity for description of a soil shoving process for such heavy machine tools as buckets of the loading machines, excavators etc. Assuming the material to be rigid-plastic with softening, which obeys the Coulomb – Mohr yield criterion and the associated flow rule, kinematic solutions for the initial and subsequent phases of the process were found. Characteristic rigid zones, which are periodically generated during the cohesive soil cutting process, and periodicity of the resulting force were predicted in this way. Theo, theoretical results were compared with experimental data showing good agreement with theoretical prediction.
W. SZCZEPIŃSKI, Same slip-line solutions for earth-moving processes, AMS, 231 6, 1971.
W. SZCZEPIŃSKI, Mechanics of a granular body during the digging process by means of a loading machine [in Polish], Arch. Bud. Masz., 31 XVIII, 1971.
W. SZCZEPIŃSKI, Limit states and kinematics of granular media [in Polish], PWN, 1974.
V.V. SOKOLOVSKI, Statics of Soil Media, 2-nd Ed., Butterworths, London 1960.
R.T. SHIELD, Mixed boundary value problems in soil mechanics, Q. Appl.Math., 11, 61, 1953.
R.T. SHIELD, On Coulomb's law of failure in soils, J. Mech. Phys. Solids, 4, 10, 1953.
W. TRĄMPCZYŃSKI, The analysis of kinematically admissible solutions for motion of walls of different shape [in Polish], Theor. Appl. Mechanics, 1, 15, 1977.
R. IZBICKI, Z. MRÓZ, Plasticity and Limit States, [in:] Rock and Soil Mechanics, W. DERSKI, R. IZBICKI, I. KISIEL and Z. MRÓZ, Elsevier, 1989.
J. MACIEJEWSKI, Incremental analysis of earth-moving mechanisms [in Polish], (MSc Thesis), Politechnika Warszawska, 1987.
W. TRĄMPCZYŃSKI and A. JARZĘBOWSKI, On the kinematicaily admissible solution application for theoretical description of shoving processes, Engng. Trans., 39, 1, 75-96, 1991.
W. TRĄMPCZYŃSKI and J. MACIEJEWSKI, On the kinematically admissible solutions for soil-tool interaction description in the case of heavy machine working process, Proc. V-th European Conf. ISTVS, p. 286-303, Hungary, Budapest 1991.
R.L. MICHALOWSKI, Strain localization and periodic fluctuations in granular flow processes from hoppers, Geotechnique, 40, 3, 389-403, 1990.
D. SZYBA, Application of simple kinematically admissible solutions to the description of the earth-moving process [in Polish], PhD Thesis - in preparing.
Private discussion with Z. MRÓZ.
O. ZIENKIEWICZ, K. LUENG and M. PASTOR, Simple model for transient soil loading in earthquake analysis. Basic model and its application, Int. J. Num. Anal. Meth. Geom., 19, 453-476, 1985.
W. SZCZEPIŃSKI and H. WINEK, Experimental study of granular medium kinetics for certain boundary value problem [in Polish], Engng. Trans., 20, 1, 1972.
Z. MRÓZ and A. JARZĘBOWSKI, Phenomenological model of contact slip, Acta Mech., 102, 1-4, 59-72, 1994.
Copyright © 2014 by Institute of Fundamental Technological Research
Polish Academy of Sciences, Warsaw, Poland