Reflection and Transmission of Circularly Polarized Elastic Waves of Finite AmplitudeSource: Journal of Applied Mechanics:;1979:;volume( 046 ):;issue: 004::page 867Author:M. M. Carroll
DOI: 10.1115/1.3424669Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Finite amplitude standing wave solutions, obtained previously, are specialized to the case of incompressible isotropic elastic solids with cubic or quintic shear response. This allows closed-form expressions for the motion and stress field, in terms of Jacobian elliptic functions and elliptic integrals and furnishes solutions for approximate finite elasticity theories in which terms up to sixth degree in the stress and strains are retained. The solutions for reflection from free or fixed boundaries, for resonant standing waves in a plate, and for reflection and transmission at a plane boundary are examined in the context of the third and fourth-order approximations.
keyword(s): Reflection , Elastic waves , Standing waves , Stress , Elasticity , Solids , Motion , Approximation , Functions AND Shear (Mechanics) ,
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| contributor author | M. M. Carroll | |
| date accessioned | 2017-05-08T23:05:57Z | |
| date available | 2017-05-08T23:05:57Z | |
| date copyright | December, 1979 | |
| date issued | 1979 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26131#867_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/91678 | |
| description abstract | Finite amplitude standing wave solutions, obtained previously, are specialized to the case of incompressible isotropic elastic solids with cubic or quintic shear response. This allows closed-form expressions for the motion and stress field, in terms of Jacobian elliptic functions and elliptic integrals and furnishes solutions for approximate finite elasticity theories in which terms up to sixth degree in the stress and strains are retained. The solutions for reflection from free or fixed boundaries, for resonant standing waves in a plate, and for reflection and transmission at a plane boundary are examined in the context of the third and fourth-order approximations. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Reflection and Transmission of Circularly Polarized Elastic Waves of Finite Amplitude | |
| type | Journal Paper | |
| journal volume | 46 | |
| journal issue | 4 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3424669 | |
| journal fristpage | 867 | |
| journal lastpage | 872 | |
| identifier eissn | 1528-9036 | |
| keywords | Reflection | |
| keywords | Elastic waves | |
| keywords | Standing waves | |
| keywords | Stress | |
| keywords | Elasticity | |
| keywords | Solids | |
| keywords | Motion | |
| keywords | Approximation | |
| keywords | Functions AND Shear (Mechanics) | |
| tree | Journal of Applied Mechanics:;1979:;volume( 046 ):;issue: 004 | |
| contenttype | Fulltext |