Purpose This study investigates a two-dimensional generalized transversely isotropic porothermoelastic problem for a half-space with an internal moving heat source, formulated within the generalized theory of porothermoelasticity. The rotating half-space deforms as a result of both thermal shock and mechanical loading. Methods Generalized porothermoelastic coupled governing equations are established. The normal mode technique was employed to solve partial differential equations and the analytical expressions for non-dimensional stresses, displacement components, pore pressure, and temperature field are deduced using Cramer’s rule. Numerical computations are conducted using MATHEMATICA software and the results are presented graphically. Results Comparisons are made between the results obtained and the expected outcomes for different values of rotation. Additionally, results are compared for various values of time, porosity and reference temperature. Conclusion Rotation exerts a greater influence on the profile of all the physical variables except <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="42417_2024_1632_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">$\theta$</EquationSource> <EquationSource Format="MATHML"><math> <mi>θ</mi> </math></EquationSource> </InlineEquation>. Porosity is more dominant on the pore pressure p and temperature field <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="42417_2024_1632_Article_IEq2.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">$\theta$</EquationSource> <EquationSource Format="MATHML"><math> <mi>θ</mi> </math></EquationSource> </InlineEquation> compared to other physical variables. All the field variables are more significantly influenced by time than the other material parameters.

Deformation of a Rotating Porothermoelastic Medium with an Internal Moving Heat Source Under Thermal Shock and Mechanical Load

期刊论文
发表日期：

2025年1月21日

查看全文

Komal Gajroiya,
Neetu Malik,
Jitander Singh Sikka

摘要

Purpose

This study investigates a two-dimensional generalized transversely isotropic porothermoelastic problem for a half-space with an internal moving heat source, formulated within the generalized theory of porothermoelasticity. The rotating half-space deforms as a result of both thermal shock and mechanical loading.

Methods

Generalized porothermoelastic coupled governing equations are established. The normal mode technique was employed to solve partial differential equations and the analytical expressions for non-dimensional stresses, displacement components, pore pressure, and temperature field are deduced using Cramer’s rule. Numerical computations are conducted using MATHEMATICA software and the results are presented graphically.

Results

Comparisons are made between the results obtained and the expected outcomes for different values of rotation. Additionally, results are compared for various values of time, porosity and reference temperature.

Conclusion

Rotation exerts a greater influence on the profile of all the physical variables except $\theta$ $θ$ . Porosity is more dominant on the pore pressure p and temperature field $\theta$ $θ$ compared to other physical variables. All the field variables are more significantly influenced by time than the other material parameters.