Wave Propagation in Heterogeneous Media with Local and Nonlocal Material Behavior

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• 作者：H眉seyin G枚kmen Aksoy
• 关键词：Heterogeneous media ; Wave propagation ; Fractional calculus ; 28A75 ; 28A78 ; 28A80 ; 28B15 ; 28C15
• 刊名：Journal of Elasticity
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：122
• 期：1
• 页码：1-25
• 全文大小：3,392 KB
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• 作者单位：H眉seyin G枚kmen Aksoy (1)
  
  1. A Teknoloji, Akp谋nar Mah. 850. Cad. No:4 D:13, 06450, Dikmen Ankara, Turkey
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mechanics
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-2681

文摘

Wave propagation in heterogeneous solids has been an interest of researchers due to industrial applications. Some of the heterogeneous materials can exhibit power law scaling in material behavior which can be characterized by the fractal dimension of the microstructure. In this study, wave propagation in heterogeneous media with self-similar structure is investigated via fractional calculus along with space-time discontinuous Galerkin method. One and two dimensional problems are studied to demonstrate the capability of the proposed model in modeling heterogeneous media. The results show that the proposed model is a good candidate for modeling the mechanical behavior of disordered materials. Keywords Heterogeneous media Wave propagation Fractional calculus