Thermal effects in chiral elastic rods

Ieşan, D.

doi:10.1016/j.ijthermalsci.2010.04.004

Cited by 4 publications

(3 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[38] The chiral Cosserat thermo-elastic solid has, in addition, a thermal expansion coefficient and a chiral thermal coefficient. [33] Observation of temperature-twist coupling suffices to demonstrate nonclassical thermal effects but does not reveal the multiple elastic constants. Supplementary experiments based on new analytical results would be required for that.…”

Section: Resultsmentioning

confidence: 99%

“…As for thermo‐elasticity, a chiral Cosserat analysis has been presented. [ 33 ] As in classical thermo‐elasticity, a temperature‐dependent term contributes to the stress. Moreover, a temperature‐dependent term

m_{kl}^{thermal} = b_{normalt} δ_{kl} Δ T

is added to the couple stress

m_{kl}

in Equation (7) with

b_{normalt}

as a material constant, resulting in Equation (2) in which

Δ T

is the change in temperature.

m_{kl} = α_{normalc} ϕ_{r,r} δ_{kl} + β_{normalc} ϕ_{k,l} + γ_{normalc} ϕ_{l,k} + C_{1} ε_{rr} δ_{kl} + (C_{2} + C_{3}) ε_{kl} + (C_{3} - C_{2}) e_{klm} (r_{m} - ϕ_{m}) + b_{normalt} δ_{kl} Δ T

…”

Section: Theoretical Backgroundmentioning

confidence: 99%

See 1 more Smart Citation

Nonclassical Thermal Twist of the Chiral Gyroid Lattice

DeValk

Hestetune

Lakes

2022

Physica Status Solidi (b)

View full text Add to dashboard Cite

The gyroid lattice is prepared in chiral and non‐chiral forms. The chiral gyroid lattice is observed to exhibit temperature‐induced twist with the direction of twist corresponding to the sense of chirality. This effect is a nonclassical effect that cannot occur in classical elasticity or classical thermo‐elasticity but is allowable in Cosserat solids. Poisson's ratio of the gyroid is known to be about 0.3 with minimal dependence on size. In contrast to squeeze–twist coupling in which substantial size effects occur with slender specimens twisting much more than thicker ones, thermal–twist coupling exhibits opposite and less consistent size effects of much smaller magnitude.

show abstract

Section: Resultsmentioning

confidence: 99%

m_{kl}^{thermal} = b_{normalt} δ_{kl} Δ T

is added to the couple stress

m_{kl}

in Equation (7) with

b_{normalt}

as a material constant, resulting in Equation (2) in which

Δ T

is the change in temperature.

m_{kl} = α_{normalc} ϕ_{r,r} δ_{kl} + β_{normalc} ϕ_{k,l} + γ_{normalc} ϕ_{l,k} + C_{1} ε_{rr} δ_{kl} + (C_{2} + C_{3}) ε_{kl} + (C_{3} - C_{2}) e_{klm} (r_{m} - ϕ_{m}) + b_{normalt} δ_{kl} Δ T

…”

Section: Theoretical Backgroundmentioning

confidence: 99%

Nonclassical Thermal Twist of the Chiral Gyroid Lattice

DeValk

Hestetune

Lakes

2022

Physica Status Solidi (b)

View full text Add to dashboard Cite

show abstract

“…Chiral Cosserat solids have also been predicted to exhibit coupling between temperature changes and twist deformation. [ 23 ] The objective of this study is to explore the influence of the chiral Cosserat elastic constants on size effects in Poisson's ratio.…”

Section: Introduction and Rationalementioning

confidence: 99%

Extended Poisson's Ratio Range in Chiral Isotropic Elastic Materials

Lakes

Huey

Goyal

2022

Physica Status Solidi (b)

View full text Add to dashboard Cite

Poisson's ratio in chiral Cosserat elastic solids is considered. Chirality allows the Poisson's ratio to exceed classical bounds, even if the material is directionally isotropic and all elastic moduli are within thermodynamic limits based on strain energy density. Poisson's ratio in chiral rods depends on the chiral elastic constants as well as on the shear and bulk moduli, assumed positive. Poisson's ratio can be greater than 0.5 or smaller than −1 for slender chiral specimens.

show abstract

Thermoelastic deformation of reinforced chiral cylinders

Ieşan

2017

Acta Mech

View full text Add to dashboard Cite

Thermal effects in chiral elastic rods

Cited by 4 publications

References 19 publications

Nonclassical Thermal Twist of the Chiral Gyroid Lattice

Nonclassical Thermal Twist of the Chiral Gyroid Lattice

Extended Poisson's Ratio Range in Chiral Isotropic Elastic Materials

Thermoelastic deformation of reinforced chiral cylinders

Contact Info

Product

Resources

About