| Title:
|
A mixed finite element method close to the equilibrium model applied to plane elastostatics (English) |
| Author:
|
Haslinger, Jaroslav |
| Author:
|
Hlaváček, Ivan |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
21 |
| Issue:
|
1 |
| Year:
|
1976 |
| Pages:
|
28-42 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
A new variational formulation of the displacement boundary value problem in linear plane elastostatics is established on the basis of a nonclassical spliting of the system of differential operators and the Friedrichs transform.
The variational problem is proved to be correct and an application is shown, which yields a mixed finite element model. Two components of the approximate vector-field converge to the real displacements and the third to the shear stress. () |
| MSC:
|
35A35 |
| MSC:
|
35J20 |
| MSC:
|
35Q99 |
| MSC:
|
65N30 |
| MSC:
|
74B99 |
| MSC:
|
74H99 |
| idZBL:
|
Zbl 0355.65087 |
| idMR:
|
MR0391539 |
| DOI:
|
10.21136/AM.1976.103620 |
| . |
| Date available:
|
2008-05-20T18:03:19Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103620 |
| . |
| Reference:
|
[1] Haslinger J., Hlaváček I.: A mixed finite element method close to the equilibrium model.(To appear in Numerische Mathematik). MR 0345433 |
| Reference:
|
[2] Haslinger J., Hlaváček I.: Curved elements in a mixed finite element method close to the equilibrium model.Aplikace matematiky 20 (1975), 233 - 252. MR 0383790 |
| Reference:
|
[3] Timoshenko S., Goodier J. N.: Theory of Elasticity.2nd ed., New York 1951. Zbl 0045.26402, MR 0045547 |
| Reference:
|
[4] Watwood V. B., Jr., Hartz B. J.: An equilibrium stress field model for finite element solution of two-dimensional elastostatic problems.Int. J. Solids Structures 4, (1968), 857-873. 10.1016/0020-7683(68)90083-8 |
| Reference:
|
[5] Fraeijs de Veubeke B.: Displacement and equilibrium models in the finite element method.In Stress Analysis, ed. Zienkiewicz O. C. and Holister G., Wiley (1965), 145-197. |
| Reference:
|
[6] Courant R., Hilbert D.: Methods of Mathematical Physics.Vol. 1, Interscience, New York, 1953. Zbl 0053.02805, MR 0065391 |
| . |
