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Generalisation of Boussinesq's Equation over Triangularly shaped Bases
Author(s) -
Skrinar M.
Publication year - 2000
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200008014146
Subject(s) - quadrilateral , computation , base (topology) , point (geometry) , mathematics , geometry , space (punctuation) , mathematical analysis , computer science , finite element method , algorithm , structural engineering , engineering , operating system
The equation for the computation of stresses directly in an arbitrary point of the half‐space loaded with a linear load distributed over a rectangular base according to Boussinesq s equations that has been presented recently is applicable if the bases can be described with rectangular areas only. For nonrectangular bases the integration over an arbitrary quadrilateral with a uniform load was performed, but the procedure required enormous computational efforts and yielded only approximate results. The paper presents a new integration over a triangular area which allows the analysis of practically any polygonal base shape with a linear load, thus eliminating all limitations of shape and load.