Thermoelastic responses of a nonlocal elastic rod due to nonlocal heat conduction

Sarkar, Nantu

doi:10.1002/zamm.201900252

Cited by 15 publications

(9 citation statements)

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Sarkar and Tomar [22] investigated the plane waves in a nonlocal thermoelasticity solid with voids. Sarkar [23] investigated the thermo-elastic responses of a non-local elastic rod due to nonlocal heat conduction. Ansari and Gholami [24] studied the nonlocal free vibrations in the pre-and post-buckled states of electro-magnetothermoelastic rectangular nanoplates with different edge conditions.…”

Section: Introductionmentioning

confidence: 99%

Effects of the Nonlocal Thermoelastic Model in a Thermoelastic Nanoscale Material

Saeed

Abbas

2022

Mathematics

View full text Add to dashboard Cite

In this work, a novel nonlocal model without energy dissipations is presented to investigate the impacts of the nonlocal thermoelastic parameters in a nanoscale material by the eigenvalue approach. The basic equations are applied under the Green and Naghdi model without energy dissipations. To obtain this model, the theory of the non-local continuum suggested by Eringen is applied. The Laplace transformation technique is used for the basic formulations to obtain the analytical solutions of the thermal stress, the displacement, and the temperature during the nanoscale thermo-electric medium. The inverse of the Laplace transformation is used with the numerical technique to obtain the complete solutions of the studying fields in the time–space domains. The main physical fields are displayed graphically and theoretically discussed under the influence of nonlocal parameters.

show abstract

Section: Introductionmentioning

confidence: 99%

Effects of the Nonlocal Thermoelastic Model in a Thermoelastic Nanoscale Material

Saeed

Abbas

2022

Mathematics

View full text Add to dashboard Cite

show abstract

“…In this part, some numerical outcomes are performed for showing the numerical outcomes computed in the previous parts for the field quantities. For explaining the numerical calculations, material properties of the copper substance is considered [42]: 0)…”

Section: Resultsmentioning

confidence: 99%

Effect of loading rate on transient response of a nano scale medium based on continuum and thermal conduction nonlocal model

Mirparizi

Zhang

2022

Preprint

View full text Add to dashboard Cite

Thermoelastic study at nano scale is an important matter along with the minimizing of the systems and intensive use of ultrafast lasers that size can influence on elastic deformation and thermal conduction grow. In this study, thermal and mechanical responses of nano-scaled body, exposed to thermal loads from outer supply and environment is inquired. In this research, nonlocal thermoelasticity model according to both nonlocal thermal conduction law and continuum theory is represented. A nonlinear finite element equation is applied to solve the coupled governing equations. It is considered that a nano scale medium is subjected to a sudden thermal shock. The results reveal some interesting aspects of wave propagation. The effects of thermal loading and loading rate on the wave propagation are discussed. The impact of the thermal and elastic nonlocality on wave dissemination is also shown graphically and discussed. Comparing the wave propagation characteristics of the classical and generalized thermoelasticity theories in the nonlocal models shows the superiorities of the proposed model. The maximum compressive stress may be observed at the wave front due to the resistance of the particles that are located ahead of the stress wave.

show abstract

“…Sarkar et al [11] investigated the Lord-Shulman model for the propagations of the photothermal waves in semiconductors in nonlocal elastic mediums. Sarkar [12] investigated the thermo-elastic response of a nonlocal elastic rod due to nonlocal heat conduction. Bachher and Sarkar [13] studied the nonlocal model of thermoelasticity medium with voids and fractional derivative heat transfer.…”

Section: Introductionmentioning

confidence: 99%

Generalized Thermoelastic Interaction in a Half-Space under a Nonlocal Thermoelastic Model

et al. 2022

View full text Add to dashboard Cite

In the current article, the nonlocal thermoelastic theory is used to discuss the wave propagation in unbounded thermoelastic materials. Due to the inclusion of relaxation time in thermal conduction formulation and the equations of motion, this model was developed using Lord and Shulman’s generalized thermoelastic model. The theory of the nonlocal continuum proposed by Eringen is used to obtain this model. The integral transforms of the Laplace transform methods used to generate an analytical solution for physical variables are utilized to produce the analytical solutions for the thermal stress, displacement, and temperature distribution. The effects of nonlocal parameters and relaxation time on the wave propagation distributions of physical fields for material are visually shown and explored.

show abstract

Thermoelastic responses of a nonlocal elastic rod due to nonlocal heat conduction

Cited by 15 publications

References 41 publications

Effects of the Nonlocal Thermoelastic Model in a Thermoelastic Nanoscale Material

Effects of the Nonlocal Thermoelastic Model in a Thermoelastic Nanoscale Material

Effect of loading rate on transient response of a nano scale medium based on continuum and thermal conduction nonlocal model

Generalized Thermoelastic Interaction in a Half-Space under a Nonlocal Thermoelastic Model

Contact Info

Product

Resources

About