Time-domain finite element analysis to nonlinear transient responses of generalized diffusion-thermoelasticity with variable thermal conductivity and diffusivity

Li, Chenlin; Guo, Hongjian; Tian, Xiaogeng

doi:10.1016/j.ijmecsci.2017.07.008

Cited by 47 publications

(11 citation statements)

References 39 publications

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“…Hence, it is necessary to consider the change of the coefficient of thermal conductivity with the change of temperature when designing devices and machines. From the Figures presented, it can be seen that the curves of the different distributions of the studied functions decrease with the increase of the parameter , which corresponds to [51,52]. In the last case, a comparison was investigated between the MCS model and the classical continuum theory.…”

Section: Numerical Resultsmentioning

confidence: 96%

The Response of Nanobeams with Temperature-Dependent Properties Using State-Space Method via Modified Couple Stress Theory

Abouelregal

Marín

2020

Symmetry

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At present, with the development in nanotechnology, nanostructures with temperature-dependent properties have been used in nano-electromechanical systems (NEMS). Thus, introducing an accurate mathematical model of nanobeams with temperature-dependent properties is a major and important topic for the design of NEMS. This paper aims to discuss nonlocal nanobeams analysis depending on the theories of Euler–Bernoulli and modified couple-stress (MCS). It also is assumed that the thermal conductivity of the nanobeam is dependent on the temperature. Physical fields of the nanobeam are obtained utilizing Laplace transform and state-space techniques. The effects of the size and nonlocal parameters, variability of thermal conductivity and couple stress on various distributions are presented graphically and studied in detail. Numerical results are presented as application scales and the design of nanoparticles, nanoscale oscillators, atomic force microscopes, and nanogenerators, in which nanoparticles as nanobeams act as essential and basic elements.

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Section: Numerical Resultsmentioning

confidence: 96%

The Response of Nanobeams with Temperature-Dependent Properties Using State-Space Method via Modified Couple Stress Theory

Abouelregal

Marín

2020

Symmetry

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“…To check the validity of the proposed method, reference [35] is chosen for comparison. Li et al [35] had investigated the generalized diffusion-thermoelasticity problems with variable thermal conductivity by using the finite element method and had verified its effectiveness. is comparison research is conducted without the consideration of diffusion.…”

Section: Verificationmentioning

confidence: 99%

“…is comparison research is conducted without the consideration of diffusion. In addition to this, the numerical model, initial conditions, and boundary conditions are same with reference [35]. e distribution of the temperature profile at the dimensionless time t � 0.06 is shown graphically in Figure 1, from which a trend consistency can be observed.…”

Section: Verificationmentioning

confidence: 99%

“…Tian et al [34] solved 2D generalized thermoelasticity problems by using a direct finite element method, which decreases the solving difficulty in the 2D model due to integral transformation. Li et al [35] analyzed the nonlinear transient response under the generalized thermal diffusion theory based on the time-domain finite element method and obtained a good effect.…”

Section: Introductionmentioning

confidence: 99%

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Effect of Variable Thermal Conductivity on the Generalized Thermoelasticity Problems in a Fiber-Reinforced Anisotropic Half-Space

Xiong

Niu

2019

Advances in Materials Science and Engineering

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Fiber-reinforced materials have widespread applications, which prompt the study of the effect of fiber reinforcement. Research studies have indicated that thermal conductivity cannot be considered as a constant, which is closely related to temperature change. Based on those studies, we investigate the fiber-reinforced generalized thermoelasticity problem under thermal stress, with the consideration of the effect of temperature-dependent variable thermal conductivity. The problem is assessed according to the L-S theory. A fiber-reinforced anisotropic half-space is selected as the research model, and a region of its surface is subjected to a transient thermal shock. The time-domain finite element method is applied to analyze the nonlinear problem and derives the governing equations. The nondimensional displacement, stress, and temperature of the material are obtained and illustrated graphically. The numerical results reveal that the variable conductivity significantly influences the distribution of the field quantities under the fiber-reinforced effect. And also, the boundary point of thermal shock is the most affected. The obtained results in this paper can be applied to design the fiber-reinforced anisotropic composites under thermal load to satisfy some particular engineering requirements.

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“…are temperature-dependent, which in turn affect the thermoelastic coupling behaviors. To explore these issues, many efforts have been put into studying the dynamic responses of the problems with temperature-dependent properties for the generalized thermoelastic problems [ 35 , 36 ], the generalized magneto-thermoelastic problems [ 37 , 38 ], the generalized thermo-piezoelectric problems [ 39 , 40 , 41 ], and the generalized diffusion-thermoelastic problem [42] etc.…”

Section: Introductionmentioning

confidence: 99%

Investigation of generalized piezoelectric-thermoelastic problem with nonlocal effect and temperature-dependent properties

2018

Heliyon

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In the generalized thermoelasticity with fractional order heat conduction and nonlocal elasticity, a generalized piezoelectric-thermoelastic problem of a both-end-fixed finite length piezoelectric rod with temperature-dependent properties and subjected to a moving heat source is investigated. The dimensionless governing equations are formulated and then solved by Laplace transform and its numerical inversion. In calculation, the effects of the nonlocal parameter, the fractional order parameter and the temperature-dependent properties on the non-dimensional temperature, displacement, stress and electrical potential are explored and demonstrated graphically. The results show that they significantly influence the peak value or magnitude of the considered physical variables.

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Time-domain finite element analysis to nonlinear transient responses of generalized diffusion-thermoelasticity with variable thermal conductivity and diffusivity

Cited by 47 publications

References 39 publications

The Response of Nanobeams with Temperature-Dependent Properties Using State-Space Method via Modified Couple Stress Theory

The Response of Nanobeams with Temperature-Dependent Properties Using State-Space Method via Modified Couple Stress Theory

Effect of Variable Thermal Conductivity on the Generalized Thermoelasticity Problems in a Fiber-Reinforced Anisotropic Half-Space

Investigation of generalized piezoelectric-thermoelastic problem with nonlocal effect and temperature-dependent properties

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