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

Healy, B.E.; Pecknold, D.A.; Dodds, Robert H., Jr.

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https://hdl.handle.net/2142/14188 Copy

Description

Title

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

Author(s)

• Healy, B.E.
• Pecknold, D.A.
• Dodds, Robert H., Jr.

Issue Date

1992-09

Keyword(s)

• Finite element analysis
• Plasticity
• Parallel computing
• Vector algorithms
• Conjugate gradient method
• Geometric modeling

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.

Publisher

University of Illinois Engineering Experiment Station. College of Engineering. University of Illinois at Urbana-Champaign.

Series/Report Name or Number

Civil Engineering Studies SRS-571

Type of Resource

text

Language

en

Permalink

http://hdl.handle.net/2142/14188

Sponsor(s)/Grant Number(s)

Center for Supercomputing Research and Development

Owning Collections