TY - JOUR
T1 - Thermoelastic waves in helical strands with Maxwell–Cattaneo heat conduction
AU - Zhang, Dansong
AU - Ostoja-Starzewski, Martin
N1 - Funding Information:
The authors acknowledge the helpful discussions with Dr. John P. D'Angelo. The work was supported by the National Science Foundation of United States (Grants IIP-1362146 and CMMI-1462749).
Publisher Copyright:
© 2019 The Authors. Published by Elsevier Ltd on behalf of The Chinese Society of Theoretical and Applied Mechanics
PY - 2019/9
Y1 - 2019/9
N2 - Harmonic thermoelastic waves in helical strands with Maxwell–Cattaneo heat conduction are investigated analytically and numerically. The corresponding dispersion relation is a sixth-order algebraic equation, governed by six non-dimensional parameters: two thermoelastic coupling constants, one chirality parameter, the ratio between extensional and torsional moduli, the Fourier number, and the dimensionless thermal relaxation. The behavior of the solutions is discussed from two perspectives with an asymptotic-numerical approach: (1) the effect of thermal relaxation on the elastic wave celerities, and (2) the effect of thermoelastic coupling on the thermal wave celerities. With small wavenumbers, the adiabatic solution for Fourier helical strands is recovered. However, with large wavenumbers, the solutions behave differently depending on the thermal relaxation and chirality. Due to thermoelastic coupling, the thermal wave celerity deviates from the classical result of the speed of second sound.
AB - Harmonic thermoelastic waves in helical strands with Maxwell–Cattaneo heat conduction are investigated analytically and numerically. The corresponding dispersion relation is a sixth-order algebraic equation, governed by six non-dimensional parameters: two thermoelastic coupling constants, one chirality parameter, the ratio between extensional and torsional moduli, the Fourier number, and the dimensionless thermal relaxation. The behavior of the solutions is discussed from two perspectives with an asymptotic-numerical approach: (1) the effect of thermal relaxation on the elastic wave celerities, and (2) the effect of thermoelastic coupling on the thermal wave celerities. With small wavenumbers, the adiabatic solution for Fourier helical strands is recovered. However, with large wavenumbers, the solutions behave differently depending on the thermal relaxation and chirality. Due to thermoelastic coupling, the thermal wave celerity deviates from the classical result of the speed of second sound.
KW - Dispersion relation
KW - Helical strands
KW - Maxwell–Cattaneo heat conduction
KW - Thermal relaxation
UR - http://www.scopus.com/inward/record.url?scp=85074460475&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85074460475&partnerID=8YFLogxK
U2 - 10.1016/j.taml.2019.05.003
DO - 10.1016/j.taml.2019.05.003
M3 - Article
AN - SCOPUS:85074460475
VL - 9
SP - 302
EP - 307
JO - Theoretical and Applied Mechanics Letters
JF - Theoretical and Applied Mechanics Letters
SN - 2095-0349
IS - 5
ER -