Propagation of the torsional wave in an irregular self-reinforced composite material bounded between two half-spaces

被引:0
作者
Gupta S. [1 ]
Das S.K. [1 ]
机构
[1] Indian Institute of Technology, Department of Mathematics and Computing, Dhanbad, Jharkhand
来源
Journal of Theoretical and Applied Mechanics (Poland) | 2020年 / 58卷 / 04期
关键词
Initial stress; Irregularity; Phase velocity; Sandy layer; Torsional wave;
D O I
10.15632/JTAM-PL/127178
中图分类号
学科分类号
摘要
This research article is concerned with the analytical assessment and mathematical modelling to unveil the characteristic of a torsional wave in the irregular Earth's crustal stratum. This investigation has been performed to clarify of possible occurrence of the torsional wave in an irregular self-reinforced composite layer bonded between dry sandy media and an isotropic elastic half-space. Rectangular and parabolic irregularities have been assumed at the interface of the intermediate layer and the lower half-space. In order to acquire the required dispersion equation, the appropriate boundary conditions with the assistance of displacement and stress components have been well satisfied. The effects of different affecting parameters such as reinforcement, sandiness, initial stress and irregularity parameters have been explored and explained by suitable graphs. Moreover, a comparative study has also been accomplished graphically for rectangular, parabolic, and no irregularities. © 2020 Polish Society of Theoretical and Allied Mechanics. All rights reserved.
引用
收藏
页码:971 / 982
页数:11
相关论文
共 18 条
[1]  
Adkins J.E., Rivlin R.S., Large elastic deformations of isotropic materials X. Reinforce-ment by inextensible cords, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 248, 944, pp. 201-223, (1955)
[2]  
Akbarov S.D., Kepceler T., Egilmez M.M., Torsional wave dispersion in a finitely pre-strained hollow sandwich circular cylinder, Journal of Sound and Vibration, 330, 18-19, pp. 4519-4537, (2011)
[3]  
Belfield A.J., Rogers T.G., Spencer A.J.M., Stress in elastic plates reinforced by fibres lying in concentric circles, Journal of the Mechanics and Physics of Solids, 31, 1, pp. 25-54, (1983)
[4]  
Biot M.A., The influence of initial stress on elastic waves, Journal of Applied Physics, 11, 8, pp. 522-530, (1940)
[5]  
Chattopadhyay A., Gupta S., Kumari P., Sharma V.K., Propagation of torsional waves in an inhomogeneous layer over an inhomogeneous half-space, Meccanica, 46, pp. 671-680, (2011)
[6]  
Chattopadhyay A., Gupta S., Sharma V.K., Kumari P., Reflection and refraction of plane quasi-P waves at a corrugated interface between distinct triclinic elastic half spaces, Inter-national Journal of Solids and Structures, 46, 17, pp. 3241-3256, (2009)
[7]  
Dhua S., Singh A.K., Chattopadhyay A., Propagation of torsional wave in a composite layer overlying an anisotropic heterogeneous half-space with initial stress, Journal of Vibration and Control, 21, 10, pp. 1987-1998, (2015)
[8]  
Gupta S., Bhengra N., Dispersion study of propagation of torsional surface wave in a layered structure, Journal of Mechanics, 33, 3, pp. 303-315, (2017)
[9]  
Gupta S., Bhengra N., Implementation of finite difference approximation on the SH-wave propagation in a multilayered magnetoelastic orthotropic composite medium, Acta Mechanica, 228, 10, pp. 3421-3444, (2017)
[10]  
Gubbins D., Seismology and Plate Tectonics, (1990)