A Note on the Derivation of Plane-Strain Elastic Green’s Functions for Bimaterial SolidsSource: Journal of Applied Mechanics:;2009:;volume( 076 ):;issue: 006::page 64503Author:Xi Zhang
DOI: 10.1115/1.3112746Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This brief note presents a rigorous proof of the general solutions obtained by [1977, “On Eigenstresses in Dissimilar Media,” Philos. Mag., 35, pp. 281–292] for a defect in elastic bimaterial solids. The derivation is based on the fact that some derivative and integral forms of the biharmonic functions are also biharmonic. The associated solutions can be expressed as the linear combinations of these biharmonic functions and their unknown coefficients can be determined by the interface conditions. It is found that the coefficients only depend on the contrasts of material constants across the interface.
keyword(s): Solids , Functions , Plane strain , Stress AND Equations ,
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| contributor author | Xi Zhang | |
| date accessioned | 2017-05-09T00:31:10Z | |
| date available | 2017-05-09T00:31:10Z | |
| date copyright | November, 2009 | |
| date issued | 2009 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26767#064503_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/139692 | |
| description abstract | This brief note presents a rigorous proof of the general solutions obtained by [1977, “On Eigenstresses in Dissimilar Media,” Philos. Mag., 35, pp. 281–292] for a defect in elastic bimaterial solids. The derivation is based on the fact that some derivative and integral forms of the biharmonic functions are also biharmonic. The associated solutions can be expressed as the linear combinations of these biharmonic functions and their unknown coefficients can be determined by the interface conditions. It is found that the coefficients only depend on the contrasts of material constants across the interface. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | A Note on the Derivation of Plane-Strain Elastic Green’s Functions for Bimaterial Solids | |
| type | Journal Paper | |
| journal volume | 76 | |
| journal issue | 6 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3112746 | |
| journal fristpage | 64503 | |
| identifier eissn | 1528-9036 | |
| keywords | Solids | |
| keywords | Functions | |
| keywords | Plane strain | |
| keywords | Stress AND Equations | |
| tree | Journal of Applied Mechanics:;2009:;volume( 076 ):;issue: 006 | |
| contenttype | Fulltext |