Stochastic finite element analysis of thermal deformation and thermal stresses of CFRP laminated plates. In problems of probabilistic fiber orientations.

Stochastic Analysis of Heat Conduction and Thermal Stresses in Solids: A Review

“…Nakamura et al [37] conducted a similar study for the case of uncertain Young's modulus, tensile and compressive strengths, and ambient temperature by using the first-order approximation theory. In addition, an interesting study on the stochastic finite element analysis of a thermal deformation problem was reported for a carbon fiber reinforced plastic (CFRP)-laminated plate whose fiber orientation angle is random [71]. Using the stochastic FEM, Sluzalec [73] analyzed the thermoelastic deflection of a rectangular plate subjected to a thermal and mechanical load concentrated at the center, where the plate has material properties and a thickness given by a two-dimensional random field.…”