Abstract
Alternative finite element representations employing stress based element formulations are described for the solution of static/dynamic nonlinear stress analysis problems. In particular, this work investigates the proposed formulations as applied to both static and dynamic situations involving material nonlinearity. The formulations eliminate the need to employ numerical integration in evaluating the stiffness matrix and the residual force vector. Some noteworthy aspects via the present formulations include independence of element integral computations from nonlinearities, introduction of boundary conditions in a direct and natural manner and the applicability to general situations. Numerical test cases are described to validate the present formulations for finite element computations. The overall results show good accuracy and improvement in efficiency for the computations.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 583-592 |
| Number of pages | 10 |
| Journal | Computers and Structures |
| Volume | 59 |
| Issue number | 3 |
| DOIs | |
| State | Published - Mar 11 1996 |
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Developments encompassing stress based finite element formulations for materially nonlinear static/dynamic problems. / Chanda, H.; Tamma, Kumar K.
In: Computers and Structures, Vol. 59, No. 3, 11.03.1996, p. 583-592.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Developments encompassing stress based finite element formulations for materially nonlinear static/dynamic problems
AU - Chanda, H.
AU - Tamma, Kumar K
PY - 1996/3/11
Y1 - 1996/3/11
N2 - Alternative finite element representations employing stress based element formulations are described for the solution of static/dynamic nonlinear stress analysis problems. In particular, this work investigates the proposed formulations as applied to both static and dynamic situations involving material nonlinearity. The formulations eliminate the need to employ numerical integration in evaluating the stiffness matrix and the residual force vector. Some noteworthy aspects via the present formulations include independence of element integral computations from nonlinearities, introduction of boundary conditions in a direct and natural manner and the applicability to general situations. Numerical test cases are described to validate the present formulations for finite element computations. The overall results show good accuracy and improvement in efficiency for the computations.
AB - Alternative finite element representations employing stress based element formulations are described for the solution of static/dynamic nonlinear stress analysis problems. In particular, this work investigates the proposed formulations as applied to both static and dynamic situations involving material nonlinearity. The formulations eliminate the need to employ numerical integration in evaluating the stiffness matrix and the residual force vector. Some noteworthy aspects via the present formulations include independence of element integral computations from nonlinearities, introduction of boundary conditions in a direct and natural manner and the applicability to general situations. Numerical test cases are described to validate the present formulations for finite element computations. The overall results show good accuracy and improvement in efficiency for the computations.
UR - http://www.scopus.com/inward/record.url?scp=0030567492&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0030567492&partnerID=8YFLogxK
U2 - 10.1016/0045-7949(94)00616-4
DO - 10.1016/0045-7949(94)00616-4
M3 - Article
AN - SCOPUS:0030567492
VL - 59
SP - 583
EP - 592
JO - Computers and Structures
JF - Computers and Structures
SN - 0045-7949
IS - 3
ER -