Abstract

On the base of Biot's consolidation theory, we introduce the steady-state general solutions of thermoporoelastic axisymmetric media initially. Several three-dimensional problems of porous media, such as the apex of a solid cone and a hollow cone under the action of a point fluid source and a point heat source in a steady state, are analyzed afterwards, respectively. By introducing the potential functions with the coefficients determined in line with the corresponding liquid-heat-force equilibrium relations and boundary conditions, we obtain the coupled fields of thermoporoelastic cones suffered from the point sources. Furthermore, the numerical examples as well as the contour plots of the coupled fields of thermoporoelastic cones are presented. The numerical results show that the phenomenon of stress concentration can occur near the point of action. The results associated with the apex angle π/2 are of importance to be used for constructing the analytical solutions of the boundary value problems as well as the defect problems.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.