Advantages of Infinite Elements over Prespecified Boundary Conditions in Unbounded Problems

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Title: Advantages of Infinite Elements over Prespecified Boundary Conditions in Unbounded Problems
Authors: Erkal, Aykut
Laefer, Debra F.
Tezcan, Semih S.
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Date: Nov-2015
Abstract: This paper promotes the further development and adoption of infinite elements for unbounded problems. This is done by demonstrating the ease of application and computational efficiency of infinite elements. Specifically, this paper introduces a comprehensive set of coordinate and field variable mapping functions for one-dimensional and two-dimensional infinite elements and the computational steps for the solution of the affiliated combined finite-infinite element models. Performance is then benchmarked against various parametric models for deflections and stresses in two examples of solid, unbounded problems: (1) a circular, uniformly-distributed load, and (2) a point load on a semiinfinite, axisymmetrical medium. The results are compared with those from the respective closed-form solution. As an example, when the vertical deflections in Example 2 are compared with the closed form solution, the 45% error level generated with fixed boundaries and 14% generated with spring-supported boundaries is reduced to only 1% with infinite elements, even with a coarse mesh. Furthermore, this increased accuracy is achieved with lower computational costs.
Type of material: Journal Article
Publisher: American Society of Civil Engineers
Copyright (published version): 2014 American Society of Civil Engineers
Keywords: Infinite elementsUnbounded problemFar field domainFinite element methodBoussinesq problem
DOI: 10.1061/(ASCE)CP.1943-5487.0000391
Language: en
Status of Item: Peer reviewed
Appears in Collections:Civil Engineering Research Collection

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