Propagation of magnetoelastic shear waves in an irregular self-reinforced layer

Chattopadhyay, Amares; Singh, Abhishek Kumar

doi:10.1007/s10665-011-9519-8

Cited by 60 publications

(12 citation statements)

References 16 publications

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“…However, some boundaries/interfaces may be approximated as regular ones, while others may be considered as irregular. The effects of irregular boundary surfaces on the wave propagation have been studied in many previous articles, such as Zhang & Shinozuka [15], Singh [16], Chattopadhyay & Singh [17] and many more. The shape of irregular interfaces may be in different forms, viz .…”

Section: Introductionmentioning

confidence: 99%

Analysis of dispersion and absorption characteristics of shear waves in sinusoidally corrugated elastic medium with void pores

2017

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This theoretical work reports the dispersion and absorption characteristics of horizontally polarized shear wave (SH-wave) in a corrugated medium with void pores sandwiched between two dissimilar half-spaces. The dispersion and absorption equations have been derived in a closed form using the method of separation of variables. It has been established that there are two different kinds of wavefronts propagating in the proposed media. One of the wavefronts depends on the modulus of rigidity of elastic matrix of the medium and satisfies the dispersion equation of SH-waves. The second wavefront depends on the changes in volume fraction of the pores. Numerical computation of the obtained relations has been performed and the results are depicted graphically. The influence of corrugation, sandiness on the phase velocity and the damped velocity of SH-wave has been studied extensively.

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Section: Introductionmentioning

confidence: 99%

Analysis of dispersion and absorption characteristics of shear waves in sinusoidally corrugated elastic medium with void pores

2017

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“…Interestingly, no matter how early in the history of elasticity the consequences of concentrated loads were studied, some of those went overlooked until recently [17][18][19][20][21][22]. The problem of the determination of stress and strain fields in the elastic solids are discussed by many researchers [23][24][25][26][27][28][29][30][31][32][33]. Belfield et al [34] discussed the stresses in elastic plates reinforced by fibers lying in concentric circles.…”

Section: Introductionmentioning

confidence: 99%

An Overview of Stress-Strain Analysis for Elasticity Equations

Kumar¹,

Mahanty²,

Chattopadhyay³

2019

Elasticity of Materials - Basic Principles and Design of Structures

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The present chapter contains the analysis of stress, analysis of strain and stress-strain relationship through particular sections. The theory of elasticity contains equilibrium equations relating to stresses, kinematic equations relating to the strains and displacements and the constitutive equations relating to the stresses and strains. Concept of normal and shear stresses, principal stress, plane stress, Mohr's circle, stress invariants and stress equilibrium relations are discussed in analysis of stress section while strain-displacement relationship for normal and shear strain, compatibility of strains are discussed in analysis of strain section through geometrical representations. Linear elasticity, generalized Hooke's law and stress-strain relations for triclinic, monoclinic, orthotropic, transversely isotropic, fiber-reinforced and isotropic materials with some important relations for elasticity are discussed.

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“…The problems concerning anisotropic media gain the attention of many researches due to the appearance of new features in such media associated with the phenomena of internal instability. The propagation of magnetoelastic shear waves in an irregular self-reinforced layer was calibrated by Chattopadhyay and Singh (2012). Lately, Kaur et al (2014) analyzed dynamic response of normal moving load on an irregular fibre-reinforced half-space.…”

Section: Introductionmentioning

confidence: 99%

On point source influencing Love-type wave propagation in a functionally graded piezoelectric composite structure: A Green’s function approach

Singh

Das

Ray

et al. 2018

Journal of Intelligent Material Systems and Structures

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Green’s function plays an important role in solving the problems concerning point action or impulse responsible for wave motions in materials. Prime objective of the this article is to investigate the propagation behaviour of Love-type wave influenced by a point source in a composite structure comprising a functionally graded piezoelectric material layer lying over a functionally graded fibre-reinforced material half-space. Green’s function technique is adopted in order to obtain the dispersion equation, which is further reduced to the classical Love wave equation as a particular case of the problem. The effect of increasing thickness of functionally graded piezoelectric material layer on the circular frequency and wave number is unravelled and depicted graphically. Moreover, influence of heterogeneity, piezoelectricity and dielectric constant associated with functionally graded piezoelectric material layer and effect of heterogeneity parameter and corresponding magnification factor concerned with functional gradedness of functionally graded fibre-reinforced material half-space have been reported through numerical computation and graphical delineation. For sake of computation, numerical data of PZT-5H ceramics for the functionally graded piezoelectric material layer and carbon-fibre epoxy-resin for functionally graded fibre-reinforced material half-space have been considered. Comparative study is performed to elucidate the effect of presence and absence of reinforcement in functionally graded half-space on the phase velocity of Love-type wave propagating in composite structure.

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Propagation of magnetoelastic shear waves in an irregular self-reinforced layer

Cited by 60 publications

References 16 publications

Analysis of dispersion and absorption characteristics of shear waves in sinusoidally corrugated elastic medium with void pores

Analysis of dispersion and absorption characteristics of shear waves in sinusoidally corrugated elastic medium with void pores

An Overview of Stress-Strain Analysis for Elasticity Equations

On point source influencing Love-type wave propagation in a functionally graded piezoelectric composite structure: A Green’s function approach

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