Numerical Analysis of a Generalized Plane Plastica

A numerical procedure is developed for finding the displacements, internal forces, and reaction forces on any planar, continuous, and flexible structural member such as a beam, column, ring, or simply-connected frame. Euler-Bernoulli theory, in which plane sections remain plane and strains are small, is assumed. Large displacements and rotations; linear elastic, nonlinear elastic and elastic-plastic material behavior; and general cross section shapes are admitted. For nonlinear elastic analysis a multi-linear stress-strain law is used, thereby allowing an accurate approximation to the constitutive laws of actual materials. For elastic-plastic analysis a more specific tri-linear stress-strain relation is assumed, and the material is assumed to harden in a kinematic fashion. Incremental loads are employed, and plastic loading, unloading, and reloading are all permitted.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Theoretical and Applied Mechanics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2014

Author dc:creator

• Coulter, Brett Ainsley

Contributors dc:contributor

• Miller, Robert E.

• Engineering, Civil
• Engineering, Mechanical

Identifier

(UMI)AAI8823110

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/71698