Accession Number : ADA260716


Title :   Applications of Parallel and Vector Algorithms in Nonlinear Structural Dynamics Using the Finite Element Method


Corporate Author : ILLINOIS UNIV AT URBANA DEPT OF CIVIL ENGINEERING


Personal Author(s) : Healy, Brian E ; Pecknold, David A ; Dodds, Jr, Robert H


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a260716.pdf


Report Date : Sep 1992


Pagination or Media Count : 316


Abstract : This research is directed toward the numerical analysis of large, three dimensional, nonlinear dynamic problems in structural and solid mechanics. Such problems include those exhibiting large deformations, displacements, or rotations, those requiring finite strain plasticity material models that couple geometric and material nonlinearities, and those demanding detailed geometric modeling. A finite element code was developed, designed around the 3D isoparametric family of elements, and using a Total Lagrangian formulation and implicit integration of the global equations of motion. The research was conducted using the Alliant FX/8 and Convex C240 supercomputers. The research focuses on four main areas: Development of element computation algorithms that exploit the inherent opportunities for concurrency and vectorization present in the finite element method; Comparison of the preconditioned conjugate gradient method to a representative direct solver; Investigation of various nonlinear solution algorithms, such as modified Newton-Raphson, secant-Newton, and nonlinear preconditioned conjugate gradient; and, Discovery of an accurate, robust finite strain plasticity material model.


Descriptors :   *ALGORITHMS , *FINITE ELEMENT ANALYSIS , *STRUCTURAL MECHANICS , *NUMERICAL ANALYSIS , MATHEMATICAL MODELS , THREE DIMENSIONAL , PLASTIC PROPERTIES , GEOMETRY , DISPLACEMENT , DEFORMATION , EQUATIONS OF MOTION , DYNAMICS


Subject Categories : Numerical Mathematics
      Mechanics


Distribution Statement : APPROVED FOR PUBLIC RELEASE