Simulation and discretization of random field in the slip-line method

• Autorzy: Przewłócki J.
• Języki publikacji: EN

Abstrakty

EN

The paper deals with the problem of bearing capacity of a strip footing based on the random subsoil. The solution has been obtained in a framework of the slip-line method. In order to include randomness of the soil medium, a modification of the method of characteristics is proposed. In such an approach, the stochastic finite difference method based on the Monte Carlo technique has been adopted. It enables including a spatial variability of soil properties into the analysis and to determine its influence on the variance of the ultimate collapse load. It is assumed that the soil medium is purely cohesive and only its cohesion can be considered as a random field. The simulation algorithm of multi-dimensional random field, based on the diagonalisation of the covariance matrix by a transformation using a lower-triangle matrix is described. The problems of the medium discretization and stabilization of the solution are discussed.

Słowa kluczowe

EN

bearing capacity; method of characteristics; random field

• Wydawca: Institute of Hydro-Engineering of Polish Academy of Sciences
• Czasopismo: Archives of Hydro-Engineering and Environmental Mechanics
• Rocznik: 2003
• Tom: Vol. 50, nr 4
• Strony: 343--358
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Przewłócki J.

• Gdansk University of Technology, Faculty of Architecture, 80-952 Gdańsk, ul. Narutowicza 11/12, Poland,

Bibliografia

• Abbott M. B. (1966), The Method of Characteristics, American Elseviere, New York.
• Chen W (1975), Limit Analysis and Soil Olasticity,. Elsevier Scientific Publishing Company, Amsterdam, Oxford, New York.
• Kuznetzov A.I. (1958), The Problem of Torsion and Plane Strain of Non-homogeneous Plastic Bodies, Archiwum Mechaniki Stosowanej, No. 4, Vol. 10.
• Przewłócki J. (1998), Randomness in Choosen Problems of Soil Mechanics (in Polish), Biblioteka Naukowa Hydrotechnika nr 25, Wydawnictwo 113W PAN.
• Przewłócki J. (2001), Stochastic Adaptation of the Method of Characteristics and its Application in Soil Mechanics (in Polish), J. Kazimierz Szmidt (Ed.), Wydawnictwo IBW PAN.
• Przewłócki J., Dardzińska I. (2002), Limit Analysis of a Strip Footing on Stochastic Subsoil, Studia Geotechnica et Mechanica, Vol. XXIII, No. 3-4.
• Sokolovskii V. V. (1965), Statics of Granular Media, Pergamon Press, New York.
• Szczepiński W (1974), Limit States and Kinematics of Granular Medium (in Polish), Biblioteka Mechaniki Stosowanej, PWN Warszawa.
• Wilde P. (1981), Random Field Discretization in Engineering Computation (in Polish), Biblioteka Naukowa Hydrotechnika No. 9, PWN, Warszawa-Poznań.