Transient coupled-thermoelastic problem of heat conduction in a multilayered composite plate

1992 ◽  
Vol 30 (10) ◽  
pp. 1543-IN10 ◽  
Author(s):  
T. Atarashi ◽  
S. Minagawa
Keyword(s):  
Heat Conduction ◽  
Composite Plate ◽  
Thermoelastic Problem ◽  
Multilayered Composite

Improved Lumped-Differential Models for Transient Heat Conduction in Multilayered Composite Media

2004 ◽  
Author(s):  
Jian Su ◽  
Djane R. Cerqueira
Keyword(s):  
Heat Conduction ◽  
Nuclear Power ◽  
Power Plants ◽  
Transient Heat Conduction ◽  
Heat Fluxes ◽  
Composite Media ◽  
Multilayered Composite ◽  
Lumped Parameter ◽  
Fuel Dynamics ◽  
Dynamics Calculation

In this paper we present improved lumped-differential formulations for one-dimensional transient heat conduction in multilayered composite media. Hermite approximations for integrals are used to obtain the average temperatures and heat fluxes in each layer. Average temperatures calculated with improved lumped parameter formulation agree well with reference finite difference solutions. The proposed heat conduction models can be used in fuel dynamics calculation for stability analysis of BWR, simplified model of PWR or real-time simulator of nuclear power plants.

A control volume finite element method for the thermoelastic problem in functional graded material with one relaxation time

2020 ◽  
pp. 095440622097902
Author(s):  
Qi Liu ◽  
Qian Peng ◽  
Pingjian Ming
Keyword(s):  
Relaxation Time ◽  
Heat Conduction ◽  
Present Method ◽  
Thermoelastic Problem ◽  
Spatial Gradient ◽  
Hyperbolic Heat Conduction ◽  
Thermoelastic Wave ◽  
Product Term ◽  
Graded Material ◽  
Functional Graded Material

In this paper, a new direct vertex-centred finite volume method (CV-FEM) has been developed for the thermoelastic problem in functional graded material (FGM) based on Lord-Shulman theory. The heat conduction equation in Lord-Shulman theory is modified by considering the product term of spatial gradient of relaxation time and the heat flux rate, and it makes the present method more accurate to capture characteristics of a thermoelastic wave in inhomogeneous and FGM compared with previous methods. Some benchmark examples are used to demonstrate the capability of the present method for hyperbolic heat conduction and thermoelastic coupled problems. The effects of the ‘product-term’ on the wave propagation are studied by a heat conduction problem in inhomogeneous material and a thermoelastic problem in FGM. The FGM results show that its effect on the thermoelastic response is significant even for a linear variation of material properties.

scholarly journals Reduced Differential Transform Method for Thermoelastic Problem in Hyperbolic Heat Conduction Domain

2021 ◽  
Vol 26 (1) ◽  
pp. 76-87
Author(s):  
K.K. Chaudhari ◽  
C.S. Sutar
Keyword(s):  
Heat Conduction ◽  
Generalized Solution ◽  
Differential Transform Method ◽  
Thermoelastic Problem ◽  
Hyperbolic Heat Conduction ◽  
Transform Method ◽  
Differential Transform ◽  
In Series ◽  
Thermoelastic Field ◽  
Reduced Differential Transform Method

Abstract In the present study, we have applied the reduced differential transform method to solve the thermoelastic problem which reduces the computational efforts. In the study, the temperature distribution in a two-dimensional rectangular plate follows the hyperbolic law of heat conduction. We have obtained the generalized solution for thermoelastic field and temperature field by considering non-homogeneous boundary conditions in the x and y direction. Using this method one can obtain a solution in series form. The special case is considered to show the effectiveness of the present method. And also, the results are shown numerically and graphically. The study shows that this method provides an analytical approximate solution in very easy steps and requires little computational work.

Transient Thermoelastic Fields in a Transversely Isotropic Infinite Solid With a Penny-Shaped Crack

1987 ◽  
Vol 54 (4) ◽  
pp. 854-860 ◽  
Author(s):  
N. Noda ◽  
F. Ashida
Keyword(s):  
Heat Conduction ◽  
Heat Conduction Equation ◽  
Three Dimensional ◽  
Transversely Isotropic ◽  
Transient Heat Conduction ◽  
Thermoelastic Problem ◽  
Conduction Equation ◽  
Thermal Stress Field ◽  
Penny Shaped Crack ◽  
Shaped Crack

The present paper deals with a transient thermoelastic problem for an axisymmetric transversely isotropic infinite solid with a penny-shaped crack. A finite difference formulation based on the time variable alone is proposed to solve a three-dimensional transient heat conduction equation in an orthotropic medium. Using this formulation, the heat conduction equation reduces to a differential equation with respect to the spatial variables. This formulation is applied to attack the transient thermoelastic problem for an axisymmetric transversely isotropic infinite solid containing a penny-shaped crack subjected to heat absorption and heat exchange through the crack surface. Thus, the thermal stress field is analyzed by means of the transversely isotropic potential function method.

scholarly journals Ultrasonic and IR Thermographic Detection of a Defect in a Multilayered Composite Plate

2016 ◽  
Vol 167 ◽  
pp. 71-79 ◽  
Author(s):  
L. Maio ◽  
V. Memmolo ◽  
S. Boccardi ◽  
C. Meola ◽  
F. Ricci ◽  
...  
Keyword(s):  
Composite Plate ◽  
Multilayered Composite
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