Dispersion of Rayleigh Waves in a Microstructural Couple Stress Substrate Loaded with Liquid Layer Under the Effects of Gravity
Bone loss is one of the serious health issues in bedridden patients or young generation due to lack of physical activities. Mechanical forces are exerted on the bones through ground reaction forces, liquid loadings and by other contraction activities of the muscles. We are assuming an isotropic half...
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Institute of Fundamental Technological Research Polish Academy of Sciences
2018-01-01
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| Series: | Archives of Acoustics |
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| Online Access: | https://acoustics.ippt.pan.pl/index.php/aa/article/view/1830 |
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| author | Vikas SHARMA Satish KUMAR |
| author_facet | Vikas SHARMA Satish KUMAR |
| author_sort | Vikas SHARMA |
| collection | DOAJ |
| description | Bone loss is one of the serious health issues in bedridden patients or young generation due to lack of physical activities. Mechanical forces are exerted on the bones through ground reaction forces, liquid loadings and by other contraction activities of the muscles. We are assuming an isotropic half-space with mechanical properties equivalent to that of bone exhibiting microstructures. Consistent couple stress theory introduces an additional material parameter called characteristic length which accounts for inner microstructure of the material. Dispersion relations for leaky Rayleigh waves are derived by considering a model consisting of couple stress half space under the effects of gravity and loaded with inviscid liquid layer of finite thickness or a liquid half space. Impact of the gravity, liquid loadings and microstructures of the material are investigated on propagation of leaky Rayleigh type waves. Phase velocity of leaky Rayleigh waves is studied for five different values of characteristic length parameter which are of the order of internal cell size of the considered material. Variations in phase velocity of leaky Rayleigh waves are also studied under the effect of gravity parameter and thickness of liquid loadings. |
| format | Article |
| id | doaj-art-93af443956f8458c8d8d87eca02fa4b7 |
| institution | DOAJ |
| issn | 0137-5075 2300-262X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Institute of Fundamental Technological Research Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Acoustics |
| spelling | doaj-art-93af443956f8458c8d8d87eca02fa4b72025-08-20T02:52:31ZengInstitute of Fundamental Technological Research Polish Academy of SciencesArchives of Acoustics0137-50752300-262X2018-01-0143110.24425/118076Dispersion of Rayleigh Waves in a Microstructural Couple Stress Substrate Loaded with Liquid Layer Under the Effects of GravityVikas SHARMA0Satish KUMAR1Lovely Professional University, Phagwara, PunjabThapar University, Patiala, PunjabBone loss is one of the serious health issues in bedridden patients or young generation due to lack of physical activities. Mechanical forces are exerted on the bones through ground reaction forces, liquid loadings and by other contraction activities of the muscles. We are assuming an isotropic half-space with mechanical properties equivalent to that of bone exhibiting microstructures. Consistent couple stress theory introduces an additional material parameter called characteristic length which accounts for inner microstructure of the material. Dispersion relations for leaky Rayleigh waves are derived by considering a model consisting of couple stress half space under the effects of gravity and loaded with inviscid liquid layer of finite thickness or a liquid half space. Impact of the gravity, liquid loadings and microstructures of the material are investigated on propagation of leaky Rayleigh type waves. Phase velocity of leaky Rayleigh waves is studied for five different values of characteristic length parameter which are of the order of internal cell size of the considered material. Variations in phase velocity of leaky Rayleigh waves are also studied under the effect of gravity parameter and thickness of liquid loadings.https://acoustics.ippt.pan.pl/index.php/aa/article/view/1830couple stress theoryRayleigh wavesgravitycharacteristic lengthliquid loading |
| spellingShingle | Vikas SHARMA Satish KUMAR Dispersion of Rayleigh Waves in a Microstructural Couple Stress Substrate Loaded with Liquid Layer Under the Effects of Gravity Archives of Acoustics couple stress theory Rayleigh waves gravity characteristic length liquid loading |
| title | Dispersion of Rayleigh Waves in a Microstructural Couple Stress Substrate Loaded with Liquid Layer Under the Effects of Gravity |
| title_full | Dispersion of Rayleigh Waves in a Microstructural Couple Stress Substrate Loaded with Liquid Layer Under the Effects of Gravity |
| title_fullStr | Dispersion of Rayleigh Waves in a Microstructural Couple Stress Substrate Loaded with Liquid Layer Under the Effects of Gravity |
| title_full_unstemmed | Dispersion of Rayleigh Waves in a Microstructural Couple Stress Substrate Loaded with Liquid Layer Under the Effects of Gravity |
| title_short | Dispersion of Rayleigh Waves in a Microstructural Couple Stress Substrate Loaded with Liquid Layer Under the Effects of Gravity |
| title_sort | dispersion of rayleigh waves in a microstructural couple stress substrate loaded with liquid layer under the effects of gravity |
| topic | couple stress theory Rayleigh waves gravity characteristic length liquid loading |
| url | https://acoustics.ippt.pan.pl/index.php/aa/article/view/1830 |
| work_keys_str_mv | AT vikassharma dispersionofrayleighwavesinamicrostructuralcouplestresssubstrateloadedwithliquidlayerundertheeffectsofgravity AT satishkumar dispersionofrayleighwavesinamicrostructuralcouplestresssubstrateloadedwithliquidlayerundertheeffectsofgravity |