Details
| Original language | English |
|---|---|
| Pages (from-to) | 1-7 |
| Number of pages | 7 |
| Journal | Finite Elements in Analysis and Design |
| Volume | 75 |
| Publication status | Published - 12 Jul 2013 |
| Externally published | Yes |
Abstract
In this paper, a new locking-free element triangular thick plate element with 9 standard kinematic degrees of freedom and 6 additional degrees of freedom for shear strains (TTK9S6) for analyzing plate/shell structures of thin or thick members is developed. With an appropriate use of independent shear degrees of freedom (DOF), the shear locking problem is completely removed without inducing any numerical expediency such as reduced integration, assumptions of strains/stresses, nor are additional efforts needed to stabilize spurious zero energy modes. Compared to existing triangular shear-deformable plate elements that pass patch tests for both thick and thin plates, the formulation of the present TTK9S6 element is very simple - and perhaps as simple as possible. A number of numerical examples are tested showing the convergence and accuracy of the TTK9S6 element.
Keywords
- Shear degrees of freedom, Shear locking, Thick/thin plate, Triangular element
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Engineering(all)
- Computer Science(all)
- Computer Graphics and Computer-Aided Design
- Mathematics(all)
- Applied Mathematics
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In: Finite Elements in Analysis and Design, Vol. 75, 12.07.2013, p. 1-7.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A new and simple locking-free triangular thick plate element using independent shear degrees of freedom
AU - Zhuang, Xiaoying
AU - Huang, Runqiu
AU - Zhu, Hehua
AU - Askes, H.
AU - Mathisen, K.
N1 - Funding information: The authors gratefully acknowledge the supports from the Natural Science Foundation of China (NSFC 51109162, 41130751), the National Basic Research Program of China (973 Program: 2011CB013800 ), State Key Laboratory of Geohazard Prevention and Geoenvironment Protection ( SKLGP2011K044 ), Shanghai Pujiang Program ( 12PJ1409100 ).
PY - 2013/7/12
Y1 - 2013/7/12
N2 - In this paper, a new locking-free element triangular thick plate element with 9 standard kinematic degrees of freedom and 6 additional degrees of freedom for shear strains (TTK9S6) for analyzing plate/shell structures of thin or thick members is developed. With an appropriate use of independent shear degrees of freedom (DOF), the shear locking problem is completely removed without inducing any numerical expediency such as reduced integration, assumptions of strains/stresses, nor are additional efforts needed to stabilize spurious zero energy modes. Compared to existing triangular shear-deformable plate elements that pass patch tests for both thick and thin plates, the formulation of the present TTK9S6 element is very simple - and perhaps as simple as possible. A number of numerical examples are tested showing the convergence and accuracy of the TTK9S6 element.
AB - In this paper, a new locking-free element triangular thick plate element with 9 standard kinematic degrees of freedom and 6 additional degrees of freedom for shear strains (TTK9S6) for analyzing plate/shell structures of thin or thick members is developed. With an appropriate use of independent shear degrees of freedom (DOF), the shear locking problem is completely removed without inducing any numerical expediency such as reduced integration, assumptions of strains/stresses, nor are additional efforts needed to stabilize spurious zero energy modes. Compared to existing triangular shear-deformable plate elements that pass patch tests for both thick and thin plates, the formulation of the present TTK9S6 element is very simple - and perhaps as simple as possible. A number of numerical examples are tested showing the convergence and accuracy of the TTK9S6 element.
KW - Shear degrees of freedom
KW - Shear locking
KW - Thick/thin plate
KW - Triangular element
UR - http://www.scopus.com/inward/record.url?scp=84880273542&partnerID=8YFLogxK
U2 - 10.1016/j.finel.2013.06.005
DO - 10.1016/j.finel.2013.06.005
M3 - Article
AN - SCOPUS:84880273542
VL - 75
SP - 1
EP - 7
JO - Finite Elements in Analysis and Design
JF - Finite Elements in Analysis and Design
SN - 0168-874X
ER -