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A BOUNDARY‐INTEGRAL EQUATION APPROACH FOR FOUNDATIONS RESTING ON A DEFORMABLE HALF‐SPACE WITH LIMIT CONTACT PRESSURE
Author(s) -
ALEYNIKOV S. M.
Publication year - 1996
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/(sici)1096-9853(199609)20:9<617::aid-nag836>3.0.co;2-1
Subject(s) - algebraic equation , mathematics , settlement (finance) , integral equation , mathematical analysis , limit (mathematics) , convergence (economics) , boundary (topology) , basis (linear algebra) , contact area , limit load , boundary value problem , finite element method , geometry , nonlinear system , structural engineering , engineering , computer science , physics , classical mechanics , quantum mechanics , world wide web , economics , payment , economic growth
A spatial contact model for an elastic base which takes into account the limit contact pressure in soil is proposed. Approximate equations permitting the use of the contact model for the description of non‐linear ‘load‐settlement’ dependence are presented. The application of the proposed model for calculating contact pressures, settlements and slopes of rigid punches of an arbitrary shape in a plan with the use of boundary‐integral equation method leads to systems of non‐linear algebraic equations of a special form. Iterative methods of solutions and convergence behaviour of iterations are considered. The approach developed is illustrated by the numerical solution of the contact problem for a circular punch on a non‐linearly deformable half‐space and a layer of finite thickness. Graphs of contact pressures and the dependence of punch settlement on a vertical load for various values of model parameters are given. Conclusion concerning identification of model parameters for various soil bases are drawn on the basis of punch tests.