Electronic Resource
Chichester [u.a.]
:
Wiley-Blackwell
International Journal for Numerical Methods in Engineering
40 (1997), S. 4405-4425
ISSN:
0029-5981
Keywords:
convergence
;
degrees of freedom
;
finite elements
;
Engineering
;
Numerical Methods and Modeling
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
,
Technology
Notes:
In this paper a family of higher-order quadrilaterals for the finite element analysis of plane elasticity problems are developed, using the displacement method formulation. The number of nodes and the number of elements are fixed, and refinement is achieved by adding derivatives of the nodal displacements as degrees of freedom at the nodes. It is shown that a higher rate of convergence is achieved compared with existing h- and p-versions of the finite element method. Applications to stress concentration and stress singularity are presented and the condition number is checked. © 1997 John Wiley & Sons, Ltd.
Additional Material:
18 Ill.
Type of Medium:
Electronic Resource
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