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