ISSN:
0029-5981
Keywords:
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
,
Technology
Notes:
The classical concept of slip-surfaces in soil mechanics is assigned a physical significance based on frequent observations of rupture in overconsolidated soils and rock masses; propagation of a narrow shear-band (i.e. slip-surface) is commonly the mechanism of failure. Effectively, relative sliding occurs between adjacent material points on the surface, a concept familiar in rack mechanics; just as failure by crack propagation can occur in metals well below net section yielding, so can progressive failure by band propagation cause slope failure at nominal stresses well below the peak strength of the material. The relative sliding is simulated here, for a material response which is linear outside the band, by superposing continuously distributed dislocations; use is made of influence functions, for dislocation and point-force singularities in a variety of materials and geometries. The method has further application in rock mechanics and metallurgy. A stress-displacement constitutive relation is imposed on the line of the band and the resulting non-linear singular integral equations necessitate numerical solutions; the routines are prefected on two problems for which answers are otherwise available. Extension to previously intractable plane-strain problems is then described and results are given for a surface-parallel shear-band corresponding to a flake slide on a long slope.
Additional Material:
15 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/nme.1620100315
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