Note on the Early Thermoelastic Stage Preceding Rayleigh–Bénard Convection in Soft Materials

In this paper, we focus on the first stage of transition to Rayleigh–Bénard convection in soft-jammed systems (yield stress fluids) confined a parallelepiped box heated from bottom. Up yielding, material is solid-state with constant elastic modulus. By means linear thermoelastic model, an analytical solution for stresses and strains induced by gravity temperature gradient derived. The allows us emphasize appropriate dimensionless parameters. onset plastic deformation then investigated using classical yield criteria (Tresca, von Mises Drucker–Prager). This analysis subsequently applied experimental data literature dealing Carbopol micro gels.