Analysis of tangential contact boundary value problems using potential functions
This paper presents an analysis technique of high-order contact potential problems and its application to an elastic settlement analysis of a shallow foundation system subjected to a combined traction boundary condition. Closed-form solutions of potential functions are derived for an elastic half-sp...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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The Royal Society
2019-03-01
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| Series: | Royal Society Open Science |
| Subjects: | |
| Online Access: | https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.182106 |
| _version_ | 1818116578584035328 |
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| author | Adam G. Taylor Jae H. Chung |
| author_facet | Adam G. Taylor Jae H. Chung |
| author_sort | Adam G. Taylor |
| collection | DOAJ |
| description | This paper presents an analysis technique of high-order contact potential problems and its application to an elastic settlement analysis of a shallow foundation system subjected to a combined traction boundary condition. Closed-form solutions of potential functions are derived for an elastic half-space subjected to bilinear tangential traction boundary conditions over rectangular surface regions. Using the principle of superposition, the present solutions provide a means to form an approximate and continuous solution of elastic contact problems with higher-order tangential boundary conditions. As an application example, an elastic settlement analysis of a rigid footing founded on a dense granular soil is performed under a tangential traction boundary condition prescribed in an analogy with the stress equilibrium states of static sandpiles. A generalized solution approach to combined normal and tangential traction boundary value problems is discussed in the context of foundation engineering. |
| first_indexed | 2024-12-11T04:24:45Z |
| format | Article |
| id | doaj.art-ab1a7273f9234ac5ab0aedda32e2adee |
| institution | Directory Open Access Journal |
| issn | 2054-5703 |
| language | English |
| last_indexed | 2024-12-11T04:24:45Z |
| publishDate | 2019-03-01 |
| publisher | The Royal Society |
| record_format | Article |
| series | Royal Society Open Science |
| spelling | doaj.art-ab1a7273f9234ac5ab0aedda32e2adee2022-12-22T01:21:00ZengThe Royal SocietyRoyal Society Open Science2054-57032019-03-016310.1098/rsos.182106182106Analysis of tangential contact boundary value problems using potential functionsAdam G. TaylorJae H. ChungThis paper presents an analysis technique of high-order contact potential problems and its application to an elastic settlement analysis of a shallow foundation system subjected to a combined traction boundary condition. Closed-form solutions of potential functions are derived for an elastic half-space subjected to bilinear tangential traction boundary conditions over rectangular surface regions. Using the principle of superposition, the present solutions provide a means to form an approximate and continuous solution of elastic contact problems with higher-order tangential boundary conditions. As an application example, an elastic settlement analysis of a rigid footing founded on a dense granular soil is performed under a tangential traction boundary condition prescribed in an analogy with the stress equilibrium states of static sandpiles. A generalized solution approach to combined normal and tangential traction boundary value problems is discussed in the context of foundation engineering.https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.182106cerruti's problemelasticitypotential theorysoil–structure interactionshallow foundation |
| spellingShingle | Adam G. Taylor Jae H. Chung Analysis of tangential contact boundary value problems using potential functions Royal Society Open Science cerruti's problem elasticity potential theory soil–structure interaction shallow foundation |
| title | Analysis of tangential contact boundary value problems using potential functions |
| title_full | Analysis of tangential contact boundary value problems using potential functions |
| title_fullStr | Analysis of tangential contact boundary value problems using potential functions |
| title_full_unstemmed | Analysis of tangential contact boundary value problems using potential functions |
| title_short | Analysis of tangential contact boundary value problems using potential functions |
| title_sort | analysis of tangential contact boundary value problems using potential functions |
| topic | cerruti's problem elasticity potential theory soil–structure interaction shallow foundation |
| url | https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.182106 |
| work_keys_str_mv | AT adamgtaylor analysisoftangentialcontactboundaryvalueproblemsusingpotentialfunctions AT jaehchung analysisoftangentialcontactboundaryvalueproblemsusingpotentialfunctions |