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RESEARCH PAPERS

Application of the Direct Stiffness Method to Plane Problems Involving Large, Time-Dependent Deformations

[+] Author and Article Information
G. F. Gerstenkorn

Scott Paper Company, Everett, Wash.

A. S. Kobayashi

Mechanical Engineering, University of Washington, Seattle, Wash.

J. Basic Eng 88(4), 771-776 (Dec 01, 1966) (6 pages) doi:10.1115/1.3645959 History: Received March 24, 1965; Online November 03, 2011

Abstract

The direct stiffness method is used to formulate a numerical procedure for solving plane structural problems involving large, time-dependent deformations and nonhomogeneous, time-dependent material properties. The stiffness matrix in polar coordinates is derived for the state of plane strain. The nonlinear structural response is incrementally linearized by considering the deformation process to be linear within small time increments. The developed procedure is compared numerically with a known solution of creep deformations in a thick-walled cylinder subjected to internal pressure loading and elevated temperature.

Copyright © 1966 by ASME
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