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Localized Heating Near a Rigid Spherical Inclusion in a Viscoelastic Binder Material Under Compressional Plane Wave Excitation
- Source :
- Publications of the Ray W. Herrick Laboratories
- Publication Year :
- 2016
- Publisher :
- Purdue University, 2016.
-
Abstract
- High-frequency mechanical excitation has been shown to generate heat within composite energetic materials and even induce reactions in single energetic crystals embedded within an elastic binder. To further the understanding of how wave scattering effects attributable to the presence of an energetic crystal can result in concentrated heating near the inclusion, an analytical model is developed. The stress and displacement solutions associated with the scattering of compressional plane waves by a spherical obstacle (Pao and Mow, 1963, “Scattering of Plane Compressional Waves by a Spherical Obstacle,” J. Appl. Phys., 34(3), pp. 493–499) are modified to account for the viscoelastic effects of the lossy media surrounding the inclusion (Gaunaurd and Uberall, 1978, “Theory of Resonant Scattering From Spherical Cavities in Elastic and Viscoelastic Media,” J. Acoust. Soc. Am., 63(6), pp. 1699–1712). The results from this solution are then utilized to estimate the spatial heat generation due to the harmonic straining of the material, and the temperature field of the system is predicted for a given duration of time. It is shown that for certain excitation and sample configurations, the elicited thermal response near the inclusion may approach, or even exceed, the decomposition temperatures of various energetic materials. Although this prediction indicates that viscoelastic heating of the binder may initiate decomposition of the crystal even in the absence of defects such as initial voids or debonding between the crystal and binder, the thermal response resulting from this bulk heating phenomenon may be a precursor to dynamic events associated with such crystal-scale effects.
- Subjects :
- 010302 applied physics
Materials science
Mechanical Engineering
02 engineering and technology
Mechanics
Plane wave excitation
021001 nanoscience & nanotechnology
Condensed Matter Physics
01 natural sciences
Viscoelasticity
Localized heating
Spherical inclusion
Compressional waves
Classical mechanics
Mechanics of Materials
0103 physical sciences
Lossy elastic medium
Inclusion (mineral)
0210 nano-technology
Subjects
Details
- Database :
- OpenAIRE
- Journal :
- Publications of the Ray W. Herrick Laboratories
- Accession number :
- edsair.doi.dedup.....1372f64b71fa188eb8029ee69920453a