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| HAL: hal-00602196, version 1 |
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| Linear plane wave propagation and normal transmission and reflection at discontinuity surfaces in second gradient 3D Continua |
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| Francesco Dell'Isola 1, 2, 3Angela Madeo 3, 4 |
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| (2011-06-21) |
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| We study plane waves in second gradient solids and their reflection and transmission at plane displacement discontinuity surfaces. The needed extension of the treatment adopted to study plane wave propagation in Cauchy continua is not straightforward and is developed here. In particular, the balance of mechanical energy valid for second gradient continua is deduced. The presented results may be of interest as many boundary layer phenomena can be accounted for by second gradient models. We prove that second gradient elastic moduli may influence, in a measurable manner, how planar waves behave at discontinuity surfaces: the novel results presented here can be the basis of experimental procedures to estimate some among these moduli. We explicitly remark that reflection and transmission coefficients which we have estimated show a significant dependence on frequency, which indeed makes easier to conceive effective measurement methods. |
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| 1: | Dipartimento di Ingegneria Strutturale e Geotecnica |
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Universita di Roma "La Sapienza" |
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| 2: | Laboratorio Strutture e Materiali Intelligenti - Fondazione Tullio Levi-Civita |
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Cisterna di Latina |
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| 3: | International Center M&MoCS "Mathematics and Mechanics of Complex Systems" |
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Cisterna di Latina |
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| 4: | Laboratoire de Génie Civil et d'Ingénierie Environnementale (LGCIE) |
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Institut National des Sciences Appliquées de Lyon |
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| 5: | International Research Centre on "Mathematics & Mechanics of Complex Systems" M&MoCS (M&MoCS) |
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Università degli Studi dell'Aquila |
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| 6: | International Telematic University "Uninettuno" |
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Uninettuno |
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| Subject | : | Engineering Sciences/Mechanics |
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| Attached file list to this document: | |||||
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| hal-00602196, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00602196 | |
| oai:hal.archives-ouvertes.fr:hal-00602196 | |
| From: Francesco Dell'Isola | |
| Submitted on: Tuesday, 21 June 2011 17:15:55 | |
| Updated on: Wednesday, 22 June 2011 08:26:28 | |
