Hits:

Indexed by:期刊论文

Date of Publication:2017-08-01

Journal:ACTA MECHANICA SOLIDA SINICA

Included Journals:Scopus、SCIE、EI

Volume:30

Issue:4

Page Number:335-344

ISSN No.:0894-9166

Key Words:Quasi-conforming; Couple stress theory; Fundamental analytical solutions

Abstract:In this paper, a 3-node triangular element for couple stress theory is proposed based on the assumed stress quasi-conforming method. The formulation starts from polynomial approximation of stresses. Then the stress-function matrix is treated as the weighted function to weaken the strain-displacement equations. Finally, the string-net functions are introduced to calculate strain integration and the stress smooth technique is adopted to improve the stress accuracy. Numerical results show that the proposed new model can pass the C0-1 patch test with excellent precision, does not exhibit extra zero energy modes and can capture the scale effects of microstructure. (C) 2017 Published by Elsevier Ltd on behalf of Chinese Society of Theoretical and Applied Mechanics.