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Three-dimensional fundamental thermo-elastic solutions applied to contact problems
This paper aims to develop three-dimensional fundamental thermo-elastic solutions for an infinite/half-infinite space of a two-dimensional hexagonal quasi-crystal, which is subjected to a point heat source. Starting from the newly developed general solution in terms of quasi-harmonic potential funct...
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Published in: | Journal of applied physics 2016-11, Vol.120 (17) |
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container_title | Journal of applied physics |
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creator | Wang, Z. P. Wang, T. Li, P. D. Li, X. Y. Chen, W. Q. Müller, R. |
description | This paper aims to develop three-dimensional fundamental thermo-elastic solutions for an infinite/half-infinite space of a two-dimensional hexagonal quasi-crystal, which is subjected to a point heat source. Starting from the newly developed general solution in terms of quasi-harmonic potential functions, the corresponding fundamental solutions are derived by means of the trial-and-error technique. Six appropriate potential functions involved in the general solution are observed. The present fundamental solutions are applied to construct boundary integral equations governing the contact problems. Numerical calculations are performed to show the distributions of the thermo-elastic coupling field variables in a half-space subjected to a point thermal source. |
doi_str_mv | 10.1063/1.4966602 |
format | article |
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P. ; Wang, T. ; Li, P. D. ; Li, X. Y. ; Chen, W. Q. ; Müller, R.</creator><creatorcontrib>Wang, Z. P. ; Wang, T. ; Li, P. D. ; Li, X. Y. ; Chen, W. Q. ; Müller, R.</creatorcontrib><description>This paper aims to develop three-dimensional fundamental thermo-elastic solutions for an infinite/half-infinite space of a two-dimensional hexagonal quasi-crystal, which is subjected to a point heat source. Starting from the newly developed general solution in terms of quasi-harmonic potential functions, the corresponding fundamental solutions are derived by means of the trial-and-error technique. Six appropriate potential functions involved in the general solution are observed. The present fundamental solutions are applied to construct boundary integral equations governing the contact problems. 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Q.</creatorcontrib><creatorcontrib>Müller, R.</creatorcontrib><title>Three-dimensional fundamental thermo-elastic solutions applied to contact problems</title><title>Journal of applied physics</title><description>This paper aims to develop three-dimensional fundamental thermo-elastic solutions for an infinite/half-infinite space of a two-dimensional hexagonal quasi-crystal, which is subjected to a point heat source. Starting from the newly developed general solution in terms of quasi-harmonic potential functions, the corresponding fundamental solutions are derived by means of the trial-and-error technique. Six appropriate potential functions involved in the general solution are observed. The present fundamental solutions are applied to construct boundary integral equations governing the contact problems. Numerical calculations are performed to show the distributions of the thermo-elastic coupling field variables in a half-space subjected to a point thermal source.</description><subject>Applied physics</subject><subject>Boundary integral method</subject><subject>Contact problems</subject><subject>Half spaces</subject><subject>Harmonic functions</subject><subject>Integral equations</subject><issn>0021-8979</issn><issn>1089-7550</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2016</creationdate><recordtype>article</recordtype><recordid>eNp90E1LAzEQBuAgCtbqwX-w4ElhNZN0k81Ril9QEKSeQzaZpVu2zZpkBf-9KS16EDzNDDzMMC8hl0BvgQp-B7czJYSg7IhMgNaqlFVFj8mEUgZlraQ6JWcxrikFqLmakLflKiCWrtvgNnZ-a_qiHbfO5DHlPq0wbHyJvYmps0X0_ZiyioUZhr5DVyRfWJ-pTcUQfNPjJp6Tk9b0ES8OdUreHx-W8-dy8fr0Mr9flJYzmUpZC8mhBlOjddYwKahEwxw4rJq2sm1DmeCtFJVxiE3dKM5BZetmANwYPiVX-7358MeIMem1H0P-IGoGDGYKaCWyut4rG3yMAVs9hG5jwpcGqneRadCHyLK92dtou2R2j_7gTx9-oR5c-x_-u_kbxIp7tw</recordid><startdate>20161107</startdate><enddate>20161107</enddate><creator>Wang, Z. 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source | American Institute of Physics:Jisc Collections:Transitional Journals Agreement 2021-23 (Reading list) |
subjects | Applied physics Boundary integral method Contact problems Half spaces Harmonic functions Integral equations |
title | Three-dimensional fundamental thermo-elastic solutions applied to contact problems |
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