Coupling study of surface energy transmission in piezomagnetic tetrahedral laminate: a continuum mechanics analysis across a manifold substrate loaded by viscous gel.

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Title: Coupling study of surface energy transmission in piezomagnetic tetrahedral laminate: a continuum mechanics analysis across a manifold substrate loaded by viscous gel.
Authors: Seema1 (AUTHOR) mathsresearch.seema@gmail.com, Singhal, Abhinav1 (AUTHOR)
Source: Applied Physics A: Materials Science & Processing. Apr2025, Vol. 131 Issue 4, p1-13. 13p.
Subjects: Phase velocity, Global analysis (Mathematics), Theory of wave motion, Dispersion relations, Continuum mechanics
Abstract: This paper examines Love-type energy transmission in a multilayered piezomagnetic tetrahedral structure (PMTS) and heterogeneous semi-space bar (HSS) structure with a viscoelastic gel (VL) on top. Energy transmission behaviour is examined in two physically important cases i.e. magnetically open (MO) and magnetically short (MS) circuit boundary. The main study focuses on the dispersion behaviour of phase velocity of a Love-type energy influenced by the combination of VL, PMTS and HSS. The dispersion relation for Love-type waves was determined analytically, and phase velocity graphs were plotted and analysed using numerical simulations using Mathematica software. A comprehensive study was conducted to acquire the effects of significant variables on phase velocity, including material heterogeneity, piezomagnetic coupling, and viscoelastic layer thickness. The research findings indicate the attenuation properties of the VL, PMTS and HSS materials in MO and MS conditions. Graphical comparisons highlight the piezomagnetic coupling caused the phase velocity curves to change consistently, demonstrating its significance in wave propagation. There was almost no difference in phase velocity between the magnetically open and short circuit scenarios, indicating that boundary constraints don't much affect how waves propagate. Phase velocity affects the PM coupling parameter. Higher material density leads to reduced phase velocity, emphasizing the role of density in influencing wave propagation. The model is confined to linear wave transmission and does not consider nonlinear influence. Moreover, the analysis is based on idealized material properties following heterogeneity. The design and advancement of energy harvesters, sensors, and wave manipulation instruments that employ PMTS with viscoelastic gel coatings can be aided by the study's conclusions. Effective usage of surface waves in these structures requires an understanding of their behaviour. This study offers a comprehensive analysis of surface wave propagation in a VL-PMTS-HSS composite structure. The comparative study of different rheological materials and the incorporation of magnetic effects contribute to the originality of the research. [ABSTRACT FROM AUTHOR]
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Abstract:This paper examines Love-type energy transmission in a multilayered piezomagnetic tetrahedral structure (PMTS) and heterogeneous semi-space bar (HSS) structure with a viscoelastic gel (VL) on top. Energy transmission behaviour is examined in two physically important cases i.e. magnetically open (MO) and magnetically short (MS) circuit boundary. The main study focuses on the dispersion behaviour of phase velocity of a Love-type energy influenced by the combination of VL, PMTS and HSS. The dispersion relation for Love-type waves was determined analytically, and phase velocity graphs were plotted and analysed using numerical simulations using Mathematica software. A comprehensive study was conducted to acquire the effects of significant variables on phase velocity, including material heterogeneity, piezomagnetic coupling, and viscoelastic layer thickness. The research findings indicate the attenuation properties of the VL, PMTS and HSS materials in MO and MS conditions. Graphical comparisons highlight the piezomagnetic coupling caused the phase velocity curves to change consistently, demonstrating its significance in wave propagation. There was almost no difference in phase velocity between the magnetically open and short circuit scenarios, indicating that boundary constraints don't much affect how waves propagate. Phase velocity affects the PM coupling parameter. Higher material density leads to reduced phase velocity, emphasizing the role of density in influencing wave propagation. The model is confined to linear wave transmission and does not consider nonlinear influence. Moreover, the analysis is based on idealized material properties following heterogeneity. The design and advancement of energy harvesters, sensors, and wave manipulation instruments that employ PMTS with viscoelastic gel coatings can be aided by the study's conclusions. Effective usage of surface waves in these structures requires an understanding of their behaviour. This study offers a comprehensive analysis of surface wave propagation in a VL-PMTS-HSS composite structure. The comparative study of different rheological materials and the incorporation of magnetic effects contribute to the originality of the research. [ABSTRACT FROM AUTHOR]
ISSN:09478396
DOI:10.1007/s00339-025-08364-7