|
| Hybrid/mixed finite element analysis of couple-stress problems |
| Revised:December 26, 2001 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20034081 |
| KeyWord:couple stress theory,hybrid/mixed finite element,penalty function,stability condition |
| Xiao Qilin \ Ling Zhong \ Wu Yongli * |
|
| Hits: 1494 |
| Download times: 12 |
| Abstract: |
| In this paper the Hellinger Reissner variational principle in classical elastic i ty is extended to couple stress theory.Based on the generalized variational pri n ciple,a new effective hybrid/mixed finite element method for couple stress theo r y is put forward and its constraint is introduced by a penalty function techniqu e.In addition,the single element stability conditions and its patch stability te st are discussed.Farther the verification for the element eigenvalues makes sure that th e present mothod is reliable.Two numerical examples are given: the stress concen tration around a central circular hole in a uniformly axially loaded field,and t he displacement and stress fields around a crack in an infinite plate of uni ax i al tension.The numerical results show that the present method has high efficienc y and good accuracy.The considerably satisfying results can be obtained, even if the characteristic length is very small. |
|
|
|