New Trends of Investigation in Thermoelasticity

Material characterization

“…The boundary conditions at the free surface are σ rz | z=0 = 0 and σ zz | z=0 = 0 [ 21]. Here u is the displacement vector, α T the linear thermal expansion coefficient, ν the Poisson's ratio, and σ rz and σ zz are the normal stress components.…”

“…The parameters used for the simulations are indicated in the figure. LAM was numerically calculated using (1) of [19], and BLM and HAM by using (4) and (6), respectively static approximation, the thermoelastic equation for the surface deformation caused by a laser-induced non-uniform temperature distribution is given by [21] (1 − 2ν)∇ 2 u +∇(∇.u) = 2(1 + ν)α T ∇T(r,z,t).…”

Complex finite element analysis applied to photothermal and thermoelastic microscopies

“…Thus, we will only consider the thermoelastic coupling thermal→elastic. As a consequence, the general heat conduction equation [16]:…”

“…The heat source generated by laser irradiation induces elastic deformations that yield surface displacement recordable by a laser probe. With this approach, the corresponding thermoelastic response can be described by using the thermoelastic wave equations [16]. Much work has been done regarding the resultant thermoelastic displacement field.…”

The method of fundamental solutions for an inverse boundary value problem in static thermo-elasticity

“…In this case measurements of the displacements and temperature are available on the remaining accessible part Γ 1 = ∂Ω\Γ 2 . Then the inverse problem of coupled static thermo-elasticity requires finding the displacement u and the temperature T satisfying the Navier-Lamé system [16,20] …”