Elastic Wave Transmission at an Abrupt Junction in a Thin Plate, with Application to Heat Transport and Vibrations in Mesoscopic Systems
By Michael Cross, R. Lifshitz. 2000
226 citations recorded by the source corpus.
The transmission coefficient for vibrational waves crossing an abrupt junction between two thin elastic plates of different widths is calculated. These calculations are relevant to ballistic phonon thermal transport at low temperatures in mesoscopic systems and the Q for vibrations in mesoscopic oscillators. Complete results are derived in a simple scalar model of the elastic waves, and results for long-wavelength modes are obtained using full elasticity theory. We suggest that thin-plate elasticity theory provides a useful and tractable approximation to the three-dimensional geometry.
Subfields: Materials Chemistry, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/df04a0f41c521b6f4e5776351d485d32001fbf26
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In Materials Chemistry
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Citations in the corpus
- An analytical model for support loss in micromachined beam resonators with in-plane flexural vibrations (2003, background): “However, analytical studies on this subject are few.”
- Nonlinear damping in a micromechanical oscillator (2009, background): “Physically, several processes may be responsible for mechanical damping [29, 30, 36, 76, 77], including thermoelastic effects [34, 35, 78], friction at grain boundaries [79], bulk and surface impurities [31, 80, 81], electrical losses, clamping loss [37, 82, 83], etc.”
- Heat Generation and Transport in Nanometer-Scale Transistors (2006, methodology): “We refer the reader to the literature on nanoelectromechanical systems (NEMS) for existing calculations on phonon modes in thin-film structures [ 36 ].”
- Dissipation in nanoelectromechanical systems (2014, background): “(It has been shown that the shear force dominates [118].”
- The Atomistic Green's Function Method: An Efficient Simulation Approach for Nanoscale Phonon Transport (2007, methodology): “The transmission coefficient for vibrational waves traveling across an abrupt junction between two thin elastic plates can be calculated by the thin-plate elasticity theory described by Cross and Lifshitz [ 6 ].”