In this paper a boundary problem is considered for which the boundary is to be determined as part of the solution. A time-dependent problem involving linear di usion in two spatial dimensions which results in a moving free boundary is posed. The fundamental solution is introduced and Green's Theorem
A probabilistic boundary element method applied to the pile dislocation problem
โ Scribed by Samer Sabry F. Mehanny; Sameh S.F. Mehanny; Youssef F. Rashed
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 732 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0141-0296
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โฆ Synopsis
In this paper a probabilistic approach is presented where the boundary element method is efficiently used to study the effect of a random shift of a given pile within a particular pile cap from its original position -the so-called pile dislocation problem -on selected output design parameters such as pile loads and bending moments in the pile cap. A new circular internal element is developed to simulate the true geometric modeling of piles. The boundary element method for the shear-deformable (thick) plate theory is employed to analyze the pile cap. The plate-pile interaction forces are considered to have constant variation over the circular pile domain. The probabilistic approach presented herein incorporates a Monte Carlo simulation technique for generating random shifts in the original position of a given pre-selected pile. The procedure has been applied to some exemplar pile caps with given pile layouts typically adopted in bridge construction.
The results demonstrate that the random dislocation of piles within practical ranges/values as customarily encountered for example in pile caps pertinent to bridge applications will cause limited variations in the output design parameters investigated herein and mentioned above. In other words, it has been illustrated that the resulting dispersion in the output values due to random dislocation of piles is less than the possible intrinsic dispersion that may be practically triggered in the pile locations due to common construction inaccuracies and/or unanticipated problems during pile driving process. The study further emphasizes the efficiency and reliability of the Boundary Elements Method adopted herein for such application.
๐ SIMILAR VOLUMES
An integral equation formulation for steady flow of a viscous fluid is presented based on the boundary element method. The continuity, Navier-Stokes and energy equations are used for calculation of the flow and temperature fields. The governing differential equations, in terms of primitive variables