Application of Direct Interpolation Boundary Element Method to 2D Elasticity with General Body Forces and Thermoelastic Effects

A Boundary Element Method (BEM) formulation is presented to solve stationary thermoelastic problems. The Direct Interpolation Boundary Element Method (DIBEM) is employed, enabling accurate handling of thermal effects and body forces without explicit domain discretization. The stationary thermoelasticity allows for the decoupling of temperature and displacement fields. The BEM is first utilized to examine the temperature field, which is governed by the Poisson equation. Afterward, the BEM is applied to solve elastostatic equations, wherein the body forces are redefined to accommodate thermal loading effects. To validate the effectiveness of the proposed method, numerical examples involving body forces are presented. These examples encompass scenarios with and without thermal effects. The performance of this method is compared to the radial integration method (RIM).