Deformation and Stresses in Long Thermoelastic Pad Supports under Prescribed Temperature by a Boundary Integral Method

A previously introduced boundary integral method is used to find an approximate solution to a problem of plane, uncoupled thermoelasticity inside an ellipse with hump. Part of the boundary is under a given variable pressure, while the other part is completely fixed. The singular behavior of the solution is put in evidence at those points where the boundary conditions change. The solution is then sought for in the form of series in Cartesian harmonics, enriched with a specially chosen harmonic function with singular boundary behavior to simulate the existing singularities. The results are analyzed in detail and the functions of practical interest are represented on the boundary and also inside the domain by three-dimensional plots. This model may be useful in analyzing the stresses that arise in long elastic pad supports under real conditions.