|
Article information
1997 , Volume 2, ¹ 4, p.60-76
Ivanov G.V., Kurguzov V.D.
Solution of the plane elasticity problems based on finite elements with independent approximations of shifts
A plane static problem of elasticity theory is considered for the case when the domain where solution is sought can be partitioned into arbitrary quadrangular elements. An approximation is constructed with the deformations constant within the element. When the domain is partitioned in quadrangular elements this is possible when two approximating functions are used for the shifts. The euations of the element rigidity are formulated on the basis of the quadratic approximation, the conditions are given when both rigidity variants coincide. The problem solution for the assumed approximation is reduced to the solution of the system of algebraic equations. The solvability of the equation of elements unification (join) is proved as well as the extremal property of the solution of the elements unification equation and, the solution convergence to the exact solution.
[full text] Author(s):
Ivanov G.V.
Office: Lavrentiev Institute of Hydrodynamics of SB RAS
Address: 630090, Russia, Novosibirsk, Ac. Lavrentiev ave., 15
Kurguzov Vladimir Dmitrievich
Dr. , Professor
Position: Leading research officer
Office: Lavrentiev Institute of Hydrodynamics of SB RAS
Address: 630090, Russia, Novosibirsk, Ac. Lavrentiev ave., 15
Phone Office: (383) 333 21 79
E-mail: kurguzov@hydro.nsc.ru
Bibliography link:
Ivanov G.V., Kurguzov V.D. Solution of the plane elasticity problems based on finite elements with independent approximations of shifts // Computational technologies. 1997. V. 2. ¹ 4. P. 60-76
|
|
|
|
