Details
| Original language | English |
|---|---|
| Pages (from-to) | 205-211 |
| Number of pages | 7 |
| Journal | Computers and Structures |
| Volume | 19 |
| Issue number | 1-2 |
| Publication status | Published - 1984 |
Abstract
The finite element analysis of rods using an "updated-Lagrangian" formulation is extended to problems with unilateral constraints. The rods are described according to Timoshenko's bending theory, undergoing large displacements and rotations, with restriction to small strains. The critical loads are given as a result of an incremental computation process, which simultaneously approximates the geometrical nonlinearities as well as the nonlinearities arising from the unilateral constraints. A computer program was written in FORTRAN IV, and the results obtained present good agreement compared with analytical solutions or other numerical solutions in literature.
ASJC Scopus subject areas
- Engineering(all)
- Civil and Structural Engineering
- Mathematics(all)
- Modelling and Simulation
- Materials Science(all)
- General Materials Science
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computer Science Applications
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In: Computers and Structures, Vol. 19, No. 1-2, 1984, p. 205-211.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Stability of rods with unilateral constraints, a finite element solution
AU - Stein, E.
AU - Wriggers, Peter
PY - 1984
Y1 - 1984
N2 - The finite element analysis of rods using an "updated-Lagrangian" formulation is extended to problems with unilateral constraints. The rods are described according to Timoshenko's bending theory, undergoing large displacements and rotations, with restriction to small strains. The critical loads are given as a result of an incremental computation process, which simultaneously approximates the geometrical nonlinearities as well as the nonlinearities arising from the unilateral constraints. A computer program was written in FORTRAN IV, and the results obtained present good agreement compared with analytical solutions or other numerical solutions in literature.
AB - The finite element analysis of rods using an "updated-Lagrangian" formulation is extended to problems with unilateral constraints. The rods are described according to Timoshenko's bending theory, undergoing large displacements and rotations, with restriction to small strains. The critical loads are given as a result of an incremental computation process, which simultaneously approximates the geometrical nonlinearities as well as the nonlinearities arising from the unilateral constraints. A computer program was written in FORTRAN IV, and the results obtained present good agreement compared with analytical solutions or other numerical solutions in literature.
UR - http://www.scopus.com/inward/record.url?scp=0021306385&partnerID=8YFLogxK
U2 - 10.1016/0045-7949(84)90220-7
DO - 10.1016/0045-7949(84)90220-7
M3 - Article
AN - SCOPUS:0021306385
VL - 19
SP - 205
EP - 211
JO - Computers and Structures
JF - Computers and Structures
SN - 0045-7949
IS - 1-2
ER -