Influence of Surface Energy Effects on Elastic Fields of a Layered Elastic Medium under Surface Loading
This paper presents the analysis of a layered elastic half space under the action of axisymmetric surface loading and the influence of the surface energy effects. The boundary value problems for the bulk and the surface are formulated based on classical linear elasticity and a complete Gurtin-Murdoc...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in Materials Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2017/7530936 |
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| author | Supakorn Tirapat Teerapong Senjuntichai Jaroon Rungamornrat |
| author_facet | Supakorn Tirapat Teerapong Senjuntichai Jaroon Rungamornrat |
| author_sort | Supakorn Tirapat |
| collection | DOAJ |
| description | This paper presents the analysis of a layered elastic half space under the action of axisymmetric surface loading and the influence of the surface energy effects. The boundary value problems for the bulk and the surface are formulated based on classical linear elasticity and a complete Gurtin-Murdoch constitutive relation. An analytical technique using Love’s representation and the Hankel integral transform is employed to derive an integral-form solution for both displacement and stress fields. An efficient numerical quadrature is then applied to accurately evaluate all involved integrals. Selected numerical results are presented to portray the influence of various parameters on elastic fields. Numerical results indicate that the surface stress displays a significant influence on both displacement and stress fields. It is also found that the layered half space becomes stiffer with the presence of surface stresses. In addition, unlike the classical elasticity solution, size-dependent behavior of elastic fields is noted. The present analytical solutions provide fundamental understanding of the influence of surface energy on layered elastic materials. It can also be used as a benchmark solution for the development of numerical techniques such as FEM and BEM, for analysis of more complex problems involving a layered medium under the influence of surface energy effects. |
| format | Article |
| id | doaj-art-e892920ee4194d399923cb2edbb49dba |
| institution | Kabale University |
| issn | 1687-8434 1687-8442 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Materials Science and Engineering |
| spelling | doaj-art-e892920ee4194d399923cb2edbb49dba2025-02-03T01:25:30ZengWileyAdvances in Materials Science and Engineering1687-84341687-84422017-01-01201710.1155/2017/75309367530936Influence of Surface Energy Effects on Elastic Fields of a Layered Elastic Medium under Surface LoadingSupakorn Tirapat0Teerapong Senjuntichai1Jaroon Rungamornrat2Applied Mechanics and Structures Research Unit, Department of Civil Engineering, Faculty of Engineering, Chulalongkorn University, Bangkok 10330, ThailandApplied Mechanics and Structures Research Unit, Department of Civil Engineering, Faculty of Engineering, Chulalongkorn University, Bangkok 10330, ThailandApplied Mechanics and Structures Research Unit, Department of Civil Engineering, Faculty of Engineering, Chulalongkorn University, Bangkok 10330, ThailandThis paper presents the analysis of a layered elastic half space under the action of axisymmetric surface loading and the influence of the surface energy effects. The boundary value problems for the bulk and the surface are formulated based on classical linear elasticity and a complete Gurtin-Murdoch constitutive relation. An analytical technique using Love’s representation and the Hankel integral transform is employed to derive an integral-form solution for both displacement and stress fields. An efficient numerical quadrature is then applied to accurately evaluate all involved integrals. Selected numerical results are presented to portray the influence of various parameters on elastic fields. Numerical results indicate that the surface stress displays a significant influence on both displacement and stress fields. It is also found that the layered half space becomes stiffer with the presence of surface stresses. In addition, unlike the classical elasticity solution, size-dependent behavior of elastic fields is noted. The present analytical solutions provide fundamental understanding of the influence of surface energy on layered elastic materials. It can also be used as a benchmark solution for the development of numerical techniques such as FEM and BEM, for analysis of more complex problems involving a layered medium under the influence of surface energy effects.http://dx.doi.org/10.1155/2017/7530936 |
| spellingShingle | Supakorn Tirapat Teerapong Senjuntichai Jaroon Rungamornrat Influence of Surface Energy Effects on Elastic Fields of a Layered Elastic Medium under Surface Loading Advances in Materials Science and Engineering |
| title | Influence of Surface Energy Effects on Elastic Fields of a Layered Elastic Medium under Surface Loading |
| title_full | Influence of Surface Energy Effects on Elastic Fields of a Layered Elastic Medium under Surface Loading |
| title_fullStr | Influence of Surface Energy Effects on Elastic Fields of a Layered Elastic Medium under Surface Loading |
| title_full_unstemmed | Influence of Surface Energy Effects on Elastic Fields of a Layered Elastic Medium under Surface Loading |
| title_short | Influence of Surface Energy Effects on Elastic Fields of a Layered Elastic Medium under Surface Loading |
| title_sort | influence of surface energy effects on elastic fields of a layered elastic medium under surface loading |
| url | http://dx.doi.org/10.1155/2017/7530936 |
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