On the fully coupled quasi-static equations for the thermoelastic halfspace

• Published in: Mechanics of materials 2023-02, Vol.177, p.104554, Article 104554
• Main Authors: Oestringer, L.J., Proppe, C.
• Format: Article
• Language: English
• Subjects: Fully coupled; Halfspace; Poroelasticity; Quasi-static; Thermoelasticity
• ISSN: 0167-6636; 1872-7743
• DOI: 10.1016/j.mechmat.2022.104554

Influence functions for fully coupled quasi-static thermoelasticity are presented. They can be used to calculate displacements, stresses as well as temperature distributions within a halfspace for arbitrarily shaped and time dependent heat sources or pressure distributions on the surface. To this end, the underlying equations are solved for a mechanically or thermally loaded rectangular element on the surface by potential theory. The solution procedure is described in detail. The obtained results are verified and may easily be transferred to the theory of poroelasticity where the underlying equations are structurally equal. Example calculations for a parabolic pressure field, heat flux and temperature field are performed and simulation results are discussed particularly in comparison to the uncoupled case. Estimations of the extent to which the Gough–Joule effect and its consequences can be neglected are given. •Influence functions for the fully coupled quasi-static equations of thermoelasticity.•Mechanical and thermal load cases can be simulated via superposition principle.•Fast and accurate calculation due to discrete convolution.•Methodology transferable to applications within the framework of poroelasticity.