Steady state thermoelastic analysis of 3D solids with fiber inclusions by boundary element method

In this work, a boundary element based analysis methodology for the steady state uncoupled thermoelastic analysis of fiber reinforced three-dimensional solids is presented. For efficient analysis and modeling, the cylindrical shaped fibers are idealized by a system of curvilinear line elements with a prescribed diameter. The variations in the displacement, traction, temperature and flux fields in the circumferential direction are represented in terms of a trigonometric shape function together with a linear or quadratic variation in the longitudinal direction. This facilitates semi-analytical integration around the fiber which reduces the computational task significantly. The numerical accuracy of the proposed method of analysis is verified and some examples of thermoelastic analysis of fiber-reinforced solids are presented.