Hybrid finite elements for nonlinear thermal and hygral problems

• Type: Article in International Scientific Journal
• Date: 2017

Authors

Teixeira de Freitas, JAT (Author) Other; Cuong, PT (Author) Other; Rui Faria (Author) FEUP

Journal

Title: Computers and Structures

Vol. 182

Pages: 14-25

ISSN: 0045-7949

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 2 Citations

Scopus - 2 Citations

Other information

Authenticus ID: P-00M-MDF

DOI: 10.1016/j.compstruc.2016.11.009

Abstract (EN): The performance of a hybrid finite element formulation developed for the solution of nonlinear transient problems is assessed. The formulation, already applied to the solution of heat transfer and moisture transport problems, develops from the uncoupling of the approximation of the state variables and the mapping of the geometry. The formulation qualifies as hybrid because the state variable and its gradient are approximated independently. Orthogonal bases are used to enhance numerical stability under high order approximations. The resulting solving system is highly sparse and well-suited to adaptive refinement and parallel processing. Besides the benchmarks used in the assessment of conform elements, the rates and patterns of convergence of the hybrid element are defined and its sensitivity to shape distortion is analysed. Also illustrated is the simulation of singular heat flow fields in cracked plates and the hygro-thermo-chemical modelling of cement hydration in concrete structures.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 12