A Finite Element Formulation for the Determination of Unknown Boundary Conditions for Three-Dimensional Steady Thermoelastic Problems

• DOI: 10.1115/1.1640360
• Publication Date: 2004-03-11T18:04:40Z
• Authors: Brian H. Dennis; George S. Dulikra...; Shinobu Yoshimura
• Keywords: Thermoelastic damping; Regularization

A three-dimensional finite element method (FEM) formulation for the prediction of unknown boundary conditions in linear steady thermoelastic continuum problems is presented. The present FEM capable determining displacements, surface stresses, temperatures, and heat fluxes on boundaries where such quantities are or inaccessible, provided sufficiently over-specified other boundaries. can also handle multiple material domains multiply connected with ease. regularized form regularization necessary solving data contain errors. Several approaches shown. inverse described an extension a previously developed by leading authors two-dimensional thermal problems. demonstrated several test cases involving simple geometries although it applicable to arbitrary configurations. different solution techniques sparse rectangular systems briefly discussed.