Accession Number : AD0764244

Title :   Elastic-Plastic Dynamic Analysis of Axisymmetric Solids.

Descriptive Note : Rept. for Jun 72-1973,

Corporate Author : CALIFORNIA UNIV BERKELEY STRUCTURAL ENGINEERING LAB

Personal Author(s) : Nagarajan,S. ; Popov,E. P.

Report Date : JUL 1973

Pagination or Media Count : 86

Abstract : The report presents a computer program for the elastic-plastic dynamic analysis of shells of revolution. General isoparametric elements with curved sides are used in the finite element discretization. These are capable of representing solids of revolution in the form of a layered system. Structures with complex geometries and sharp discontinuities may be studied. Solutions can be obtained for both thin and thick shells because the customary Kirchhoff-Love hypothesis is not invoked. Dynamic analysis is carried out by means of step-by-step intergration, the program allowing for the use of any of the schemes belonging to the Newmark family of methods (with free parameters gamma and beta) and the Wilson and Farhoomand theta method. Flow theory of plasticity is used in the inelastic range, and either isotropic hardening or kinematic linear hardening may be adopted. The program can analyze axisymmetric structures subjected to axially symmetric loading as well as plane stress problems. Numerical examples presented include the static analysis of a fixed end beam and the dynamic analyses of a cantilever, a simply supported beam, and two spherical caps. (Author)

Descriptors :   (*SHELLS(STRUCTURAL FORMS), LOADS(FORCES)), KINEMATICS, PLASTIC PROPERTIES, STRESSES, MATHEMATICAL MODELS, COMPUTER PROGRAMMING, ITERATIONS, EQUATIONS OF MOTION, BEAMS(STRUCTURAL)

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE