Elasto-plastic Analysis of Plates using the Finite Element Method

Item

Title
Elasto-plastic Analysis of Plates using the Finite Element Method
Description
The formulation of a general quadrilateral finite element accounting for inelastic material behavior is described. Both flexural and membrane behavior are considered. The flow theory of plasticity is adopted, and the material is assumed to obey the von Mises yield criterion and the isotropic hardening law. Elasto-plastic problems are generally very costly in computer time, and emphasis is placed on an efficient formulation of the element stiffness. A pure incremental technique is chosen for the numerical solution procedure. Results are presented for various types of flexural and membrane plate problems. These examples demonstrate that the present method exhibits a high degree of accuracy while being highly efficient. It is concluded that the element described here is among the most versatile and efficient elasto-plastic elements yet devised.
Creator
Bergan, Pal G.
Clough, Ray W.
Abstract
The formulation of a general quadrilateral finite element accounting for inelastic material behavior is described. Both flexural and membrane behavior are considered. The flow theory of plasticity is adopted, and the material is assumed to obey the von Mises yield criterion and the isotropic hardening law. Elasto-plastic problems are generally very costly in computer time, and emphasis is placed on an efficient formulation of the element stiffness. A pure incremental technique is chosen for the numerical solution procedure. Results are presented for various types of flexural and membrane plate problems. These examples demonstrate that the present method exhibits a high degree of accuracy while being highly efficient. It is concluded that the element described here is among the most versatile and efficient elasto-plastic elements yet devised.
Corporate Author
The Technical University of Norway, Trondheim
University of California, Berkeley
Report Number
AFFDL TR 71-160 p. 929-957
Report Availability
Full text available
Publisher
Wright-Patterson Air Force Base, OH : Air Force Flight Dynamics Laboratory, Air Force Systems Command and Air Force Institute of Technology, Air University
Date
1973
Type
article
Date Issued
1973-12
Provenance
Bombardier/Aero
Distribution Classification
1
Distribution Conflict
No
DTIC Record Exists
No
Format
1 online resource (28 pages) : ill.
Extent
28
Identifier
AD0785968
Is Part Of
Proceedings of the Third Conference on Matrix Methods in Structural Mechanics: Proceedings of the Conference held at Wright-Patterson Air Force Base, Ohio 19-21 October 1971
Media
AFFDLTR71-160article31.pdf

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Items with "Has Part: Elasto-plastic Analysis of Plates using the Finite Element Method"
Title Class
Proceedings of the Third Conference on Matrix Methods in Structural Mechanics: Proceedings of the Conference held at Wright-Patterson Air Force Base, Ohio 19-21 October 1971