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  MODEL TESTS AND FEM SIMULATION OF SOME FACTORS 
 AFFECTING THE BEARlNG CAPACITY OF A FOOTlNG ON SAND 
  
  M. S. A. SIDDIQUEE, FUMIO TATSUOKA , TADATSUGU TANAKA , KAZUO TANl 
 , KENJI YOSHIDA and TSUTOMU MORIMOTO  
 
 
 
 
 
  ABSTRACT A series of model tests was carried 
 out on a particular type of sand (Toyoura sand) with a target void ratio 
 of 0.66 to study into the effects of the shape and depth of a footing and 
 the load inclination on the bearing capacity of a rough and rigid footing 
 on sand. The test results were numerically simulated by two- and 
 three-dimensional FEM analysis using a constitutive model that has been 
 developed for Toyoura sand based on the results from an extensive series 
 of laboratory stress-strain tests. The effects of the following factors, 
 among others, on the strength and deformation characteristics of sand are 
 taken into account; a) pressure level; b) the intermediate principal 
 stress; c) inherent anisotropy; d) non-linear strain-hardening and 
 softening; e) non-associated dilatancy; and f) strain localisation into a 
 shear band (s). The material model is coupled with an isotropically 
 hardening, non-associated, elasto-plastic material description. The FEM 
 simulation is consistent with the physical model test results. In some 
 important aspects, the results from both the physical model tests and FEM 
 simulation are not consistent with some of the previous proposals that 
 have been widely used in practice: i.e., in the results of the present 
 study, the bearing capacity of a rectangular footing is noticeably larger 
 than that under purely plane strain conditions, and negative effects of 
 load inclination and positive effects of footing depth on the bearing 
 capacity are generally larger than those predicted by some previous 
 proposals .  
  Key words: bearing capacity factors, finite 
 element method, footing depth, footing shape, Ioad inclination, model test 
 (IGC: E3/E14)  
 
 
 
 
 
 
 
 
 
 
 
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