| contributor author | W. Chen | |
| contributor author | J. Fish | |
| date accessioned | 2017-05-09T00:04:03Z | |
| date available | 2017-05-09T00:04:03Z | |
| date copyright | March, 2001 | |
| date issued | 2001 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26509#153_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/124712 | |
| description abstract | A dispersive model is developed for wave propagation in periodic heterogeneous media. The model is based on the higher order mathematical homogenization theory with multiple spatial and temporal scales. A fast spatial scale and a slow temporal scale are introduced to account for the rapid spatial fluctuations as well as to capture the long-term behavior of the homogenized solution. By this approach the problem of secularity, which arises in the conventional multiple-scale higher order homogenization of wave equations with oscillatory coefficients, is successfully resolved. A model initial boundary value problem is analytically solved and the results have been found to be in good agreement with a numerical solution of the source problem in a heterogeneous medium. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | A Dispersive Model for Wave Propagation in Periodic Heterogeneous Media Based on Homogenization With Multiple Spatial and Temporal Scales | |
| type | Journal Paper | |
| journal volume | 68 | |
| journal issue | 2 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.1357165 | |
| journal fristpage | 153 | |
| journal lastpage | 161 | |
| identifier eissn | 1528-9036 | |
| keywords | Equations of motion | |
| keywords | Boundary-value problems | |
| keywords | Equations AND Wave propagation | |
| tree | Journal of Applied Mechanics:;2001:;volume( 068 ):;issue: 002 | |
| contenttype | Fulltext | |
