Hybrid fundamental solution based finite element method: Theory and applications

Changyong Cao, Qing Hua Qin*

*Corresponding author for this work

    Research output: Contribution to journalReview articlepeer-review

    14 Citations (Scopus)

    Abstract

    An overview on the development of hybrid fundamental solution based finite element method (HFS-FEM) and its application in engineering problems is presented in this paper. The framework and formulations of HFS-FEM for potential problem, plane elasticity, three-dimensional elasticity, thermoelasticity, anisotropic elasticity, and plane piezoelectricity are presented. In this method, two independent assumed fields (intraelement filed and auxiliary frame field) are employed. The formulations for all cases are derived from the modified variational functionals and the fundamental solutions to a given problem. Generation of elemental stiffness equations from the modified variational principle is also described. Typical numerical examples are given to demonstrate the validity and performance of the HFS-FEM. Finally, a brief summary of the approach is provided and future trends in this field are identified.

    Original languageEnglish
    Article number916029
    JournalAdvances in Mathematical Physics
    Volume2015
    DOIs
    Publication statusPublished - 2015

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