On the Singular Eigenfunctions for Plane Harmonic Problems in Composite RegionsSource: Journal of Applied Mechanics:;1980:;volume( 047 ):;issue: 001::page 87Author:G. B. Sinclair
DOI: 10.1115/1.3153644Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper is concerned with the singular behavior of harmonic functions at the vertex of a plane, composite, wedge region. Separable harmonic functions which include logarithmic terms are investigated for their possible existence in the vicinity of the vertex. The eigenequations governing existence are examined and explicit determination of the singular eigenvalues made for several combinations of boundary and interface conditions. The results enable an appreciation of the possible singular nature in such problems which aids any complete (numerical) analysis.
keyword(s): Composite materials , Eigenfunctions , Functions , Wedges AND Eigenvalues ,
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| contributor author | G. B. Sinclair | |
| date accessioned | 2017-05-08T23:08:05Z | |
| date available | 2017-05-08T23:08:05Z | |
| date copyright | March, 1980 | |
| date issued | 1980 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26138#87_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/92956 | |
| description abstract | This paper is concerned with the singular behavior of harmonic functions at the vertex of a plane, composite, wedge region. Separable harmonic functions which include logarithmic terms are investigated for their possible existence in the vicinity of the vertex. The eigenequations governing existence are examined and explicit determination of the singular eigenvalues made for several combinations of boundary and interface conditions. The results enable an appreciation of the possible singular nature in such problems which aids any complete (numerical) analysis. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | On the Singular Eigenfunctions for Plane Harmonic Problems in Composite Regions | |
| type | Journal Paper | |
| journal volume | 47 | |
| journal issue | 1 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3153644 | |
| journal fristpage | 87 | |
| journal lastpage | 92 | |
| identifier eissn | 1528-9036 | |
| keywords | Composite materials | |
| keywords | Eigenfunctions | |
| keywords | Functions | |
| keywords | Wedges AND Eigenvalues | |
| tree | Journal of Applied Mechanics:;1980:;volume( 047 ):;issue: 001 | |
| contenttype | Fulltext |