Transient hygrothermoelastic damping analysis of cylindrical nanobeams within a fractional order system

Dhore, Nagesh; Khalsa, Lalsingh; Varghese, Vinod

doi:10.1007/s00707-023-03752-7

Acta Mech

2023

DOI: 10.1007/s00707-023-03752-7

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Transient hygrothermoelastic damping analysis of cylindrical nanobeams within a fractional order system

Nagesh Dhore,

Lalsingh Khalsa,

Vinod Varghese

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2024

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Cited by 3 publications

References 37 publications

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Thermomechanical interaction in a living tissue due to variable thermal loading with memory

Abbas,

Sur

2024

Z Angew Math Mech

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In order to address various clinical applications within living tissue, the aim of this work is to analytically study the thermomechanical interaction for a living tissue which is subjected to variable thermal loadings. Human tissues undergoing regional hyperthermia treatment for cancer therapy is based on graded changes of the cells, and as a consequences, the constitutive equations have been formulated using the nonlocal elasticity theory. The heat transport equation for the present problem is formulated in the context of Moore‐Gibson‐Thompson theory of generalized thermoelasticity assimilating the memory‐dependent derivative within a slipping interval. Both the boundaries of the tissue is maintaining the condition of zero traction. The lower boundary of the tissue is subjected to prescribed thermal loading while, the upper boundary is kept at zero temperature. Utilizing the Laplace transform mechanism, the governing equations have been solved and the general solutions have been obtained in the transformed domain. In order to arrive at the solutions in the real space‐time domain, suitable inversion of the Laplace transform has been carried out numerically using the method of Zakian. Numerical findings suggest that thermomechanical waves propagate through skin tissue over finite distances, which helps mitigate the unrealistic predictions made by the Pennes' model. Significant effect due to different effective parameter such as nonlocal parameter and the time‐delay parameter is reported. Also, how a nonlinear kernel function can be more effective in bio‐heat transfer, is outlined in the study also.

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Thermomechanical interaction in a living tissue due to variable thermal loading with memory

Abbas,

Sur

2024

Z Angew Math Mech

View full text Add to dashboard Cite

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Generalized thermoelastic damping model for small-scale beams with circular cross section in the framework of nonlocal dual-phase-lag heat equation

Saidoune,

Turabi Ahmad,

Ali

et al. 2024

Acta Mech

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Memory response on hygrothermal three-phase-lag hollow cylinder due to heat and moisture loading

Jojare,

Gaikwad

2024

Mech Time-Depend Mater

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Transient hygrothermoelastic damping analysis of cylindrical nanobeams within a fractional order system

Cited by 3 publications

References 37 publications

Thermomechanical interaction in a living tissue due to variable thermal loading with memory

Thermomechanical interaction in a living tissue due to variable thermal loading with memory

Generalized thermoelastic damping model for small-scale beams with circular cross section in the framework of nonlocal dual-phase-lag heat equation

Memory response on hygrothermal three-phase-lag hollow cylinder due to heat and moisture loading

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