Accession Number : ADA136044

Title :   Efficient Finite Element Methods for Transient Nonlinear Analysis of Shells.

Descriptive Note : Annual rept. 1 Feb 82-31 Jan 83,

Corporate Author : NORTHWESTERN UNIV EVANSTON IL DEPT OF CIVIL ENGINEERING

Personal Author(s) : Belytschko,T

PDF Url : ADA136044

Report Date : Aug 1983

Pagination or Media Count : 175

Abstract : A finite element formulation and algorithm for the nonlinear analysis of the large deflection, materially nonlinear response of impulsively loaded shells is presented. A unique feature of this algorithm is the use of a bilinear four node quadrilateral element with single point quadrature and a simple hourglass control which is orthogonal to rigid body modes on an element level and does not compromise the consistency of the equations. The geometric nonlinearities are treated by using a corotational description wherein a coordinate system that rotates with the material is embedded at the integration point; thus the algorithm is directly applicable to anisotropic materials without any corrections for frame invariance of material property tensors. This algorithm can treat about 200 element-time-steps per CPU second on a CYBER 170/730 computer in the explicit time integration mode. Numerous results are presented for both elastic and elastic-plastic problems with large strains that show that the method in most cases is comparable in accuracy with an earlier version of this algorithm employing a cubic triangular plate-shell element, but substantially faster. (Author)

Descriptors :   *Shells(Structural forms), Impulse loading, Algorithms, Finite element analysis, Deflection, Nonlinear analysis, Computer applications, Structural response

Subject Categories : Structural Engineering and Building Technology
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE