Int. J. of Mathematical Modelling and Numerical Optimisation   »   2012 Vol.3, No.3



Title: Determination of ultimate load and possible failure path for a rigid strip footing on soil partially supported by retaining wall using an adaptive refinement process


Authors: Abazar Asghari; Rasoul Mirghaderi; Amir Hossein Gandomi


Department of Civil Engineering, Urmia University of Technology, Urmia, Iran.
College of Civil Engineering, School of Engineering, University of Tehran, Tehran, Iran.
Department of Civil Engineering, The University of Akron, Akron, OH, USA


Abstract: In most branches of soil mechanics and foundation engineering, approximate methods are often used for computing the ultimate load of a footing and slope stability analysis. There are different types of approximate methods. Such as slip-line method, limit equilibrium and limit analysis. Each of the mentioned methods has restrictions in the displacement computing values, failure path, simultaneously satisfying equilibrium equations, fundamental relationships and compatibility equations, and access to the real failure mechanism. Finite element method can be used to overcome some of these restrictions. But finite element method itself has weaknesses. Some of these weaknesses are lack of awareness of suitable element sizes, lack of awareness of error value in analysis process, lack of accurate information about failure path development and costly access to failure mechanism path occurrence. Here, the adaptive refinement based on the rule of gradient recovery and concept of norm was presented as a powerful method for overcoming the restrictions of the general finite element method. This paper also tries to find an access to both the propagation of failure path and the ultimate load value for a rigid strip footing on soil partially supported by a retaining wall.


Keywords: adaptive refinement; supported soil; failure path; rule of gradient recovery; error norm; error post-processor; rigid strip footing; retaining walls; ultimate load; finite element method; FEM; slope stability analysis.


DOI: 10.1504/IJMMNO.2012.047705


Int. J. of Mathematical Modelling and Numerical Optimisation, 2012 Vol.3, No.3, pp.210 - 230


Submission date: 11 Aug 2011
Date of acceptance: 27 Oct 2011
Available online: 08 Jul 2012



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