Anti-Plane Shear Wave in Microstructural Media

2020 ◽  
pp. 376-411
Author(s):  
Mriganka Shekhar Chaki ◽  
Abhishek Kumar Singh
Keyword(s):  
Wave Propagation ◽  
Shear Wave ◽  
Numerical Study ◽  
Plane Shear ◽  
Algebraic Form ◽  
New Type ◽  
Common Interface ◽  
The Common ◽  
Irregular Interface ◽  
Perfect Interface

The present chapter encapsulates the characteristic behavior of anti-plane shear wave propagation in a micropolar layer/semi-infinite structural media. Two types of interfacial complexity have been considered at the common interface which give rise to two distinct mathematical models: (1) Model I: Anti-plane shear wave in a micropolar layer/semi-infinite structure with rectangular irregular interface and (2) Model II: Anti-plane shear wave in a micropolar layer/semi-infinite structure with non-perfect interface. For both models, dispersion equations have been deduced in algebraic-form and in particular, the dispersion equation of new type of surface wave resulted due to micropolarity has been obtained. The deduced results have been validated with classical cases analytically. The effects of micropolarity, irregularity, and non-perfect interface on anti-plane shear wave have been demonstrated through numerical study in the present chapter.

Surface and interfacial anti-plane waves in micropolar solids with surface energy

2020 ◽  
pp. 108128652096564
Author(s):  
Mriganka Shekhar Chaki ◽  
Victor A Eremeyev ◽  
Abhishek K Singh
Keyword(s):  
Surface Wave ◽  
Plane Wave ◽  
Numerical Study ◽  
Plane Waves ◽  
Angular Frequency ◽  
Elastic Half Space ◽  
Surface Strain ◽  
Theoretical Frameworks ◽  
Algebraic Form ◽  
New Type

In this work, the propagation behaviour of a surface wave in a micropolar elastic half-space with surface strain and kinetic energies localized at the surface and the propagation behaviour of an interfacial anti-plane wave between two micropolar elastic half-spaces with interfacial strain and kinetic energies localized at the interface have been studied. The Gurtin–Murdoch model has been adopted for surface and interfacial elasticity. Dispersion equations for both models have been obtained in algebraic form for two types of anti-plane wave, i.e. a Love-type wave and a new type of surface wave (due to micropolarity). The angular frequency and phase velocity of anti-plane waves have been analysed through a numerical study within cut-off frequencies. The obtained results may find suitable applications in thin film technology, non-destructive analysis or biomechanics, where the models discussed here may serve as theoretical frameworks for similar types of phenomena.

Finite Amplitude Azimuthal Shear Waves in a Compressible Hyperelastic Solid

2000 ◽  
Vol 68 (2) ◽  
pp. 145-152 ◽  
Author(s):  
J. B. Haddow ◽  
L. Jiang
Keyword(s):  
Wave Propagation ◽  
Longitudinal Wave ◽  
Shear Wave ◽  
Strain Energy ◽  
Numerical Solutions ◽  
Numerical Procedure ◽  
Strain Energy Function ◽  
Finite Amplitude ◽  
Plane Shear ◽  
Azimuthal Shear

Lagrangian equations of motion for finite amplitude azimuthal shear wave propagation in a compressible isotropic hyperelastic solid are obtained in conservation form with a source term. A Godunov-type finite difference procedure is used along with these equations to obtain numerical solutions for wave propagation emanating from a cylindrical cavity, of fixed radius, whose surface is subjected to the sudden application of a spatially uniform azimuthal shearing stress. Results are presented for waves propagating radially outwards; however, the numerical procedure can also be used to obtain solutions if waves are reflected radially inwards from a cylindrical outer surface of the medium. A class of strain energy functions is considered, which is a compressible generalization of the Mooney-Rivlin strain energy function, and it is shown that, for this class, an azimuthal shear wave can not propagate without a coupled longitudinal wave. This is in contrast to the problem of finite amplitude plane shear wave propagation with the neo-Hookean generalization, for which a shear wave can propagate without a coupled longitudinal wave. The plane problem is discussed briefly for comparison with the azimuthal problem.

Myths about COVID-19

2020 ◽  
Vol 11 (SPL1) ◽  
pp. 907-912
Author(s):  
Deepika Masurkar ◽  
Priyanka Jaiswal
Keyword(s):  
World Health ◽  
Indian Society ◽  
Common People ◽  
The World ◽  
New Type ◽  
The Media ◽  
Personal Level ◽  
Novel Virus ◽  
The Common ◽  
Health Organization

Recently at the end of 2019, a new disease was found in Wuhan, China. This disease was diagnosed to be caused by a new type of coronavirus and affected almost the whole world. Chinese researchers named this novel virus as 2019-nCov or Wuhan-coronavirus. However, to avoid misunderstanding the World Health Organization noises it as COVID-19 virus when interacting with the media COVID-19 is new globally as well as in India. This has disturbed peoples mind. There are various rumours about the coronavirus in Indian society which causes panic in peoples mind. It is the need of society to know myths and facts about coronavirus to reduce the panic and take the proper precautionary actions for our safety against the coronavirus. Thus this article aims to bust myths and present the facts to the common people. We need to verify myths spreading through social media and keep our self-ready with facts so that we can protect our self in a better way. People must prevent COVID 19 at a personal level. Appropriate action in individual communities and countries can benefit the entire world.

scholarly journals Numerical study of detonation wave propagation modes in annular channels

AIP Advances ◽  
2021 ◽  
Vol 11 (8) ◽  
pp. 085203
Author(s):  
Duo Zhang ◽  
Xueqiang Yuan ◽  
Shijie Liu ◽  
Xiaodong Cai ◽  
Haoyang Peng ◽  
...  
Keyword(s):  
Wave Propagation ◽  
Detonation Wave ◽  
Numerical Study ◽  
Annular Channels ◽  
Detonation Wave Propagation
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