A Mathematical Model for the Deformation Problem in a Generalized Thermoelastic Medium Under Modified Green–Lindsay Model

被引：0
作者：
S. Kaushal
R. Kumar
K. Kaur
G. Sharma
机构：
[1] Lovely Professional University,Department of Mathematics, School of Chemical Engineering and Physical Sciences
[2] Kurukshetra University,Department of Mathematics
[3] Doaba College Jalandhar,Graduate Department of Mathematics
来源：
International Applied Mechanics | 2023年 / 59卷
关键词：
non-local parameter; hyperbolic two-temperature parameter; modified Green–Lindsay theory; Laplace and Fourier transforms;
D O I：
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学科分类号：
摘要：
The objective of this study is to examine the effect of non-local and hyperbolic two-temperature parameters on the thermostressed state using the modified Green–Lindsay generalized theory of thermoelasticity. A ramp-type normal load/thermal source is used. The governing equations are transformed into a dimensionless form and simplified with the aid of Laplace and Fourier transforms. The transformed domain is used to obtain the physical field quantities such as stresses, displacement vector components, thermodynamic temperature, and conductive temperature. The numerical inversion technique is employed to recover the equations in the physical domain. The impact of non-local, hyperbolic two-temperature, and various theories of thermoelasticity on the material behavior is presented in the form of graphs. The results emphasize the importance of considering different aspects and theories in the analysis of material behavior. Several unique cases are discussed and displayed.
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页码：742 / 753
页数：11
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