Elastic Fields of a Nonhomogeneous Half-Space Subject to an Inclined Circular Load

Elastic Fields of a Nonhomogeneous Half-Space Subject to an Inclined Circular Load

The paper examines the elastic fields of displacements and stresses for a nonhomogeneous elastic half-space where the elastic parameters have a linear variation over a finite depth beyond which it is constant. The circular loading area is subjected to a uniform inclined load. The numerical method is...

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Main Authors: Yunyue Xie, Hongtian Xiao, Zhongqi Quentin Yue
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Advances in Materials Science and Engineering
Online Access:http://dx.doi.org/10.1155/2020/1402839
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spelling doaj-641b9108adfe4b3197a99eee747c9b702020-11-25T02:59:25ZengHindawi LimitedAdvances in Materials Science and Engineering1687-84341687-84422020-01-01202010.1155/2020/14028391402839Elastic Fields of a Nonhomogeneous Half-Space Subject to an Inclined Circular LoadYunyue Xie0Hongtian Xiao1Zhongqi Quentin Yue2State Key Laboratory of Mining Disaster Prevention and Control Cofounded by Shandong Province and the Ministry of Science and Technology, Shandong University of Science and Technology, Qingdao 266590, ChinaShandong Key Laboratory of Civil Engineering Disaster Prevention and Mitigation, College of Civil Engineering & Architecture, Shandong University of Science and Technology, Qingdao 266590, ChinaDepartment of Civil Engineering, The University of Hong Kong, Hong Kong, ChinaThe paper examines the elastic fields of displacements and stresses for a nonhomogeneous elastic half-space where the elastic parameters have a linear variation over a finite depth beyond which it is constant. The circular loading area is subjected to a uniform inclined load. The numerical method is developed by applying the fundamental solution of a layered elastic solid and integrating numerically it over the loading area. As a result, only the loading area needs to be discretized in using the proposed numerical method. Numerical examples of calculation of displacements are conducted, and excellent agreement with the existing closed-form solutions is obtained. The results obtained are used to understand the elastic fields induced by different types of loads in a nonhomogeneous medium.http://dx.doi.org/10.1155/2020/1402839
collection DOAJ
language English
format Article
sources DOAJ
author Yunyue Xie
Hongtian Xiao
Zhongqi Quentin Yue
spellingShingle Yunyue Xie
Hongtian Xiao
Zhongqi Quentin Yue
Elastic Fields of a Nonhomogeneous Half-Space Subject to an Inclined Circular Load
Advances in Materials Science and Engineering
author_facet Yunyue Xie
Hongtian Xiao
Zhongqi Quentin Yue
author_sort Yunyue Xie
title Elastic Fields of a Nonhomogeneous Half-Space Subject to an Inclined Circular Load
title_short Elastic Fields of a Nonhomogeneous Half-Space Subject to an Inclined Circular Load
title_full Elastic Fields of a Nonhomogeneous Half-Space Subject to an Inclined Circular Load
title_fullStr Elastic Fields of a Nonhomogeneous Half-Space Subject to an Inclined Circular Load
title_full_unstemmed Elastic Fields of a Nonhomogeneous Half-Space Subject to an Inclined Circular Load
title_sort elastic fields of a nonhomogeneous half-space subject to an inclined circular load
publisher Hindawi Limited
series Advances in Materials Science and Engineering
issn 1687-8434
1687-8442
publishDate 2020-01-01
description The paper examines the elastic fields of displacements and stresses for a nonhomogeneous elastic half-space where the elastic parameters have a linear variation over a finite depth beyond which it is constant. The circular loading area is subjected to a uniform inclined load. The numerical method is developed by applying the fundamental solution of a layered elastic solid and integrating numerically it over the loading area. As a result, only the loading area needs to be discretized in using the proposed numerical method. Numerical examples of calculation of displacements are conducted, and excellent agreement with the existing closed-form solutions is obtained. The results obtained are used to understand the elastic fields induced by different types of loads in a nonhomogeneous medium.
url http://dx.doi.org/10.1155/2020/1402839
work_keys_str_mv AT yunyuexie elasticfieldsofanonhomogeneoushalfspacesubjecttoaninclinedcircularload
AT hongtianxiao elasticfieldsofanonhomogeneoushalfspacesubjecttoaninclinedcircularload
AT zhongqiquentinyue elasticfieldsofanonhomogeneoushalfspacesubjecttoaninclinedcircularload
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