Surface Deformation due to Loading of a Layered Elastic Half-space: Constructing the Solution for a General Polygonal Load |
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Authors: | Michael Bevis Ernian Pan Hao Zhou Feng Han Richard Zhu |
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Affiliation: | 1.School of Earth Sciences,Ohio State University,Columbus,USA;2.Department of Civil Engineering,University of Akron,Akron,USA |
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Abstract: | We describe an algorithm for rapidly computing the surface displacements induced by a general polygonal load on a layered, isotropic, elastic half-space. The arbitrary surface pressure field is discretized using a large number, n, of equally-sized circular loading elements. The problem is to compute the displacement at a large number, m, of points (or stations) distributed over the surface. The essence of our technique is to reorganize all but a computationally insignificant part of this calculation into an equivalent problem: compute the displacements due to a single circular loading element at a total of m n stations (where m n is the product m × n). We solve this “parallel” problem at high computational speed by utilizing the sparse evaluation and massive interpolation (SEMI) method. Because the product m n that arises in our parallel problem is normally very large, we take maximum possible advantage of the acceleration achieved by the SEMI algorithm. |
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