Hybrid natural element method for viscoelasticity problems

doi:10.1088/1674-1056/24/1/010204

Abstract A hybrid natural element method (HNEM) for two-dimensional viscoelasticity problems under the creep condition is proposed. The natural neighbor interpolation is used as the test function, and the discrete equation system of the HNEM for viscoelasticity problems is obtained using the Hellinger-Reissner variational principle. In contrast to the natural element method (NEM), the HNEM can directly obtain the nodal stresses, which have higher precisions than those obtained using the moving least-square (MLS) approximation. Some numerical examples are given to demonstrate the validity and superiority of this HNEM.

Keywords: hybrid natural element method viscoelasticity Hellinger-Reissner variational principle meshless method

Received: 24 August 2014
Revised: 12 September 2014
Accepted manuscript online:

PACS:	02.60.Cb	(Numerical simulation; solution of equations)
	02.60.Lj	(Ordinary and partial differential equations; boundary value problems)
	46.35.+z	(Viscoelasticity, plasticity, viscoplasticity)

Fund: Project supported by the Natural Science Foundation of Shanghai, China (Grant No. 13ZR1415900).

Corresponding Authors: Ma Yong-Qi
E-mail: mayq@staff.shu.edu.cn

Cite this article:

Zhou Yan-Kai (周延凯), Ma Yong-Qi (马永其), Dong Yi (董轶), Feng Wei (冯伟) Hybrid natural element method for viscoelasticity problems 2015 Chin. Phys. B 24 010204

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