https://scholars.lib.ntu.edu.tw/handle/123456789/631902
標題: | Analytical Solution of 1-Dimensional Peridynamic Equation of Motion | 作者: | Yang, Zhenghao CHIEN-CHING MA Oterkus, Erkan Oterkus, Selda Naumenko, Konstantin |
關鍵字: | Analytical | Non-local | One-dimensional | Peridynamics | 公開日期: | 1-一月-2022 | 來源出版物: | Journal of Peridynamics and Nonlocal Modeling | 摘要: | Peridynamics has been introduced to overcome limitations of classical continuum mechanics. Peridynamic equations of motion are in the form of integro-differential equations and analytical solutions of these equations are limited in the literature. In this study, a new analytical solution methodology for 1-dimensional peridynamic equation of motion is presented by utilising inverse Fourier transform. Analytical solutions for both static and dynamic conditions are obtained. Moreover, different boundary conditions including fixed-fixed and fixed-free are considered. Several numerical cases are demonstrated to show the capability of the presented methodology and peridynamic results are compared against results obtained from classical continuum mechanics. A very good agreement between these two different approaches is observed which shows the capability of the current approach. |
URI: | https://scholars.lib.ntu.edu.tw/handle/123456789/631902 | ISSN: | 2522896X | DOI: | 10.1007/s42102-022-00086-1 |
顯示於: | 機械工程學系 |
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