其他摘要：The main objective of this paper is to propose an “a posteriori”error indicator and a finite element adaptive strategy for the Reissner-Hellinger thermo–elasticity formulation. The paper presents triangular finite elements with quadratic and continuous displacements interpolation and discontinuous stress interpolation. Two different interpolations for the stress field are considered. In plane stress condition, total stress is linearly interpolated. Likewise, the deviatoric stress is regarded as linear for plane strain and under symmetry of revolution conditions but the mean stress is considered to be constant in each element. These mixed elements are appropriated for facing the locking phenomena when incompressibility is presented. The proposed error indicator is based on second-order derivatives of the Mises equivalent stress and mean stress associated with a recovered stress field. That is, gradients and/or Hessians of the stress solution, obtained on a given mesh, are smoothed and then used in the error estimation. The error indicator is related with the maximum eigenvalue of such Hessians. Some numerical examples are presented in order to show the viability of this adaptive mesh refinement and to compare its performance with the error estimates found in literature.
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