Soliton-like Lamb waves in elastic layer with negative Poisson ratio

Vestnik MGSU

Avershyeva Anna Vladimirovna¹ 

[1] Moscow State University of Civil Engineering (MGSU);

关键词: Lamb wave;    auxetics;    Cauchy formalism;    dispersion;    Poisson ratio;    exponential mapping method;   

DOI  :  

来源: DOAJ

【 摘 要 】

The uniqueness of Lamb waves is in features of their distribution. They are distributed all through a slab or a layer. The Lamb waves may cover great distances. With the help of Lamb waves it is easy to monitor the defects in multilayered slabs and shells. In order to monitor the defects it is necessary to possess the knowledge about the disperse behavior of these waves depending on mechanical characteristics of the analyzed body. Dispersion curves are analyzed for Lamb waves of different modes. The dispersion relations are constructed by the exponential mappings coupled with a 6-dimentional complex Cauchy formalism. For an isotropic medium with negative Poisson’s ratio the dispersion curves are obtained and analyzed, special attention is paid to the zero fundamental symmetric modes. The authors conducted a comparative analysis of the results obtained in disserent literature. The results obtained in the article are confirmed by the asymptotic solutions worked out before.

【 授权许可】

Unknown