Details
| Original language | English |
|---|---|
| Pages (from-to) | 555-563 |
| Number of pages | 9 |
| Journal | Communications in Numerical Methods in Engineering |
| Volume | 10 |
| Issue number | 7 |
| Publication status | Published - Jul 1994 |
| Externally published | Yes |
Abstract
The standard bilinear displacement field of the plane linear elastic rectangular 4‐node quadrilateral element is enhanced by incompatible modes. The resulting gradient operators are separated into constant and linear parts corresponding to underintegration and stabilization of the element stiffness matrix. Minimization of potential energy is used to generate exact analytical expressions for the hourglass stabilization of the rectangle. The stabilized element is shown to coincide with the element obtained by the mixed assumed strain method.
ASJC Scopus subject areas
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- Modelling and Simulation
- Engineering(all)
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- Computational Theory and Mathematics
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- Applied Mathematics
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In: Communications in Numerical Methods in Engineering, Vol. 10, No. 7, 07.1994, p. 555-563.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On the stabilization of the rectangular 4‐node quadrilateral element
AU - Hueck, U.
AU - Reddy, B. D.
AU - Wriggers, Peter
PY - 1994/7
Y1 - 1994/7
N2 - The standard bilinear displacement field of the plane linear elastic rectangular 4‐node quadrilateral element is enhanced by incompatible modes. The resulting gradient operators are separated into constant and linear parts corresponding to underintegration and stabilization of the element stiffness matrix. Minimization of potential energy is used to generate exact analytical expressions for the hourglass stabilization of the rectangle. The stabilized element is shown to coincide with the element obtained by the mixed assumed strain method.
AB - The standard bilinear displacement field of the plane linear elastic rectangular 4‐node quadrilateral element is enhanced by incompatible modes. The resulting gradient operators are separated into constant and linear parts corresponding to underintegration and stabilization of the element stiffness matrix. Minimization of potential energy is used to generate exact analytical expressions for the hourglass stabilization of the rectangle. The stabilized element is shown to coincide with the element obtained by the mixed assumed strain method.
UR - http://www.scopus.com/inward/record.url?scp=0028464692&partnerID=8YFLogxK
U2 - 10.1002/cnm.1640100707
DO - 10.1002/cnm.1640100707
M3 - Article
AN - SCOPUS:0028464692
VL - 10
SP - 555
EP - 563
JO - Communications in Numerical Methods in Engineering
JF - Communications in Numerical Methods in Engineering
SN - 1069-8299
IS - 7
ER -