TY - JOUR
T1 - Mechanical and thermal couplings in helical strands*
AU - Zhang, Dansong
AU - Ostoja-Starzewski, Martin
AU - Le Marrec, Loïc
N1 - Funding Information:
This material is based upon work partially supported by the NSF under grant IIP-1362146 (I/UCRC on Novel High Voltage/Temperature Materials and Structures).
Publisher Copyright:
© 2019, © 2019 Taylor & Francis Group, LLC.
PY - 2019/1/2
Y1 - 2019/1/2
N2 - A generalized Timoshenko rod model is developed for helical strands and helically reinforced cylinders. The thermomechanical constitutive law has five effective elastic moduli, and two thermal coefficients, which can be obtained with the finite element method, or partly from analytic solutions. The model predicts nonclassical bending and thermoelastic behavior of helical strands. First, bending–shearing coupling is explicitly captured, which leads to non-planar bending under a transverse shear force, or a bending moment. Second, torsion and thermal expansion are coupled due to structural chirality. The dispersion relation of harmonic thermoelastic waves is governed by four non-dimensional parameters: two thermoelastic coupling constants, one chirality parameter and the Fourier number. The quasi-longitudinal and the quasi-torsional waves (“quasi” meaning the longitudinal mode is always coupled with a small torsional motion, and vice versa, due to chirality) are dispersive and damped, and dependent on temperature. The adiabatic-isothermal transition of the wave propagation is determined by the Fourier number.
AB - A generalized Timoshenko rod model is developed for helical strands and helically reinforced cylinders. The thermomechanical constitutive law has five effective elastic moduli, and two thermal coefficients, which can be obtained with the finite element method, or partly from analytic solutions. The model predicts nonclassical bending and thermoelastic behavior of helical strands. First, bending–shearing coupling is explicitly captured, which leads to non-planar bending under a transverse shear force, or a bending moment. Second, torsion and thermal expansion are coupled due to structural chirality. The dispersion relation of harmonic thermoelastic waves is governed by four non-dimensional parameters: two thermoelastic coupling constants, one chirality parameter and the Fourier number. The quasi-longitudinal and the quasi-torsional waves (“quasi” meaning the longitudinal mode is always coupled with a small torsional motion, and vice versa, due to chirality) are dispersive and damped, and dependent on temperature. The adiabatic-isothermal transition of the wave propagation is determined by the Fourier number.
KW - Helix
KW - Timoshenko rod model
KW - adiabatic-isothermal transition
KW - bending-shearing coupling
KW - chirality
KW - helical strand
KW - thermoelastic coupling
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U2 - 10.1080/01495739.2018.1525329
DO - 10.1080/01495739.2018.1525329
M3 - Article
AN - SCOPUS:85062083056
SN - 0149-5739
VL - 42
SP - 185
EP - 212
JO - Journal of Thermal Stresses
JF - Journal of Thermal Stresses
IS - 1
ER -