Chapter 7

Computational methods for thermal stress analysis

Abstract

The present chapter proposes the development of classical approximate solution methods used to solve various thermal stress problems given in the third part of the book. Refined variable-kinematics classical and mixed formulations derived in a general form exploiting the method of power series expansion of the displacements/stresses components, based on the PVD and RMVT respectively, are proposed. In the framework of meshless methods three advanced Hierarchical Ritz, Galerkin and Generalized Galerkin Formulations (HRF, HGF, HGGF) are used. For all of the aforementioned approximate methods a comprehensive mathematical description for beam, plate and shell structures, is ...

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