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Structural Engineering and Mechanics Volume 4, Number 3, May 1996, pages 227242 DOI: http://dx.doi.org/10.12989/sem.1996.4.3.227 


Application of an integrodifferential equation to the analysis of geotechnical problems 

Poorooshasb HB, Alamgir M, Miura N


Abstract  
An important class of problems in the field of geotechnical engineering may be analyzed with the aid of a simple integrodifferential equation. Behavior of \'\'rigid\'\' piles(say concrete piles), \'\'deformable\'\' piles(say gravel piles). pile groups, pileraft foundations, heavily reinforced earth, flow within circular silos and down drag on cylindrical structures (for example the crusher unit of a mineral processing complex) are the type of situations that can be handled by this type of equation. The equation under consideration has the form; partial derivative w(r, z)/partial derivative + f(z)integral(0)(z)g(xi)(partial derivative(2)w(r, xi)/partial derivative r(2) + 1/r partial derivative w(r, xi)/partial derivative r)d xi + h(r, z) = 0 where w(r, z) is the vertical displacement of a soil particle expressed as a function of the polar cylindrical space coordinates (r, z) and the symbols f; g and h represent soil properties and the loading conditions. The merit of the analysis is its simplicity (both in concept and in application) and the ease with which it can be expressed in a computer code. In the present paper the analysis is applied to investigate the behavior of a single rigid pile to bedrock. The emphasis, however, is placed on equation, the numerical techique used in its evaluation and validation of the technique, hereafter called the ID technique, against a formal program, CRISP, which uses the FEM.  
Key Words  
soil structure, deep foundation, deformation, negative friction, numerical technique, FEM (CRISP)  
Address  
Poorooshasb HB, CONCORDIA UNIV,DEPT CIVIL ENGN,MONTREAL,PQ H3G 1M8,CANADA SAGA UNIV,DEPT CIVIL ENGN,SAGA 840,JAPAN  