ISSN:
1432-0606
Keywords:
Elastic beam theory
;
Smart materials
;
Variational problem
;
Plastic beam theory
;
Finite element method
;
Primary 73C
;
73E
;
73K
;
73V
;
Secondary 49S
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract An extended theory for elastic and plastic beam problems is studied. By introducing new dependent and independent variables, the standard Timoshenko beam model is extended to take account of shear variation in the lateral direction. The dynamic governing equations are established via Hamilton's principle, and existence and uniqueness results for the solution of the static problem are proved. Using the theory of convex analysis, the duality theory for the extended beam model is developed. Moreover, the extended theory for rigid-perfectly plastic beams is also established. Based on the extended model, a finite-element method is proposed and numerical results are obtained indicating the usefulness of the extended theory in applications.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01182627
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