Horospherical coordinates for optimal Cosserat microrotations

Rau, Christian

doi:10.1002/mma.4897

Cited by 1 publication

(1 citation statement)

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“…In the works of Eremeyev et al 5 and Eringen and Maugin, 6 the concept of elastic Cosserat continua can be found well explained. Recently, horospherical coordinates for optimal Cosserat microrotations have been discussed by Rau 7 . Through the suggested theory, complexity and heterogeneity inherent in materials can be described by considering microstructure of material, e.g., magnetic materials and granular materials.…”

Section: Introductionmentioning

confidence: 99%

Scattering and propagation characteristics of SH wave in reduced Cosserat isotropic layered structure at irregular boundaries

Chaki

Singh

2021

Math Methods in App Sciences

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In the present paper, scattering phenomena has been studied when propagating SH wave incident on the irregular upper boundary of a linear‐reduced Cosserat isotropic layer/half‐space configuration. Algebraic expression for dispersion equation of scattering SH wave has been deduced analytically. Expressions of displacement component and microrotational components for reflected wave have been obtained for three distinct types of irregularity, i.e., rectangular, parabolic and triangular notch‐shaped irregularity. The effect of distinct irregularity parameters on displacement and microrotational fields of reflected wave has been analysed numerically and graphically. The deduced microrotational fields due to scattering and reflection phenomena in irregular layered structure with microrotations serve as highlights of the present work which may find their application in seismic prediction, acoustic engineering and civil engineering.

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Section: Introductionmentioning

confidence: 99%