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Calculation of the critical height of a homogenized reinforced soil wall: A numerical approach. (English) Zbl 0811.73052

This paper is devoted to the stability analysis of a vertical embankment in reinforced soil, assuming that a very large number of reinforcements are periodically distributed throughout the soil mass. The reinforced soil is modelled as a homogeneous medium that obeys a macroscopic yield condition.
Two numerical formulations of the homogenized problem, derived from the lower and upper bound theorems of limit analysis, respectively, with a finite element discretization technique, are described. They both lead to a linear programming problem, which is carried out by means of XPRESS industrial LP code.

MSC:

74L10 Soil and rock mechanics
74R20 Anelastic fracture and damage
74S05 Finite element methods applied to problems in solid mechanics

Software:

XPRESS
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References:

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