Search for noncircular slip surfaces by the Morgenstern-Price Method

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Authors: Takuo Yamagami, Yasuhiro Ueta
Cited by: 62

Abstract

Four techniques for solving optimization problems have been investigated to search for a general noncircular critical slip surface by using the Morgenstern and Price method. These techniques are the Nelder and Mead simplex method, the Powell, the DFP and the BFGS methods. In the present study the problem of slope stability has been formulated as a simple, yet versatile procedure for solving an optimization process. A computer program has been developed and its basic characteristics have been revealed by investigating various aspects of example problems. It is shown that for slopes consisting of inhomogeneous soils, an initial estimate for the optimization process plays a particularly important role.

Fields of Study & Subjects

Vibration and Dynamic Analysis Contact Mechanics and Variational Inequalities Tribology and Lubrication Engineering

Publication details

Journal / source
Numerical Methods in Geomechanics, Sixth Edition - Volume 2
Publisher
CRC Press
Pages
1335–1340
Publication date
24 February 2026
Language
EN
Document type
Book chapter