TY - JOUR
T1 - Hybrid fundamental solution based finite element method
T2 - Theory and applications
AU - Cao, Changyong
AU - Qin, Qing Hua
N1 - Publisher Copyright:
© 2015 Changyong Cao and Qing-Hua Qin.
PY - 2015
Y1 - 2015
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84926348586&partnerID=8YFLogxK
U2 - 10.1155/2015/916029
DO - 10.1155/2015/916029
M3 - Review article
SN - 1687-9120
VL - 2015
JO - Advances in Mathematical Physics
JF - Advances in Mathematical Physics
M1 - 916029
ER -