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Title:Basic studies in nonlinear mechanics
Author(s):Doyle, James F.
Subject(s):Nonlinear Photomechanics
Birefringent Effect
Nonlinear Stress Analysis
Abstract:Many transparent materials when def onned and viewed in polarized light exhibit a birefringent effect. The present study is an attempt to c onsider, within a consistent framework, many of the nonlinear aspects of the phenomenon of birefringence in polymers and how they may be used in the development of a method for the stress analysis of nonlinear problems. The kinematics in a rate form for the large defonnations of a medium exhibiting permanent as well as recoverable deformations is first given. The constitutive problem for rate dependent materials is then treated. The proposed differential model can exhibit a very wide range of material behavior and is in a form that satisfies the requirements for the proper formulation of constitutive relations. A mechanical-optical constitutive relation is derived that can model rate dependent behavior without itself having any explicit dependence on the rates. The use of the birefringent effect for solving nonlinear time dependent problems is discussed and the in applicability of some of the existing photoelastic procedures pointed out. The theory and techniques of analysis are checked by first performing the quasistatic and dynamic characterization of a polyester blend to about 25% strain, and then solving some stress analysis problems.
Issue Date:1977-09
Publisher:Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report:TAM R 420
Genre:Technical Report
Rights Information:Copyright 1977 Board of Trustees of the University of Illinois
Date Available in IDEALS:2021-11-04

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  • Technical Reports - Theoretical and Applied Mechanics (TAM)
    TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.

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