University of Illinois Urbana-Champaign

Large-deflection analysis of cord composite plates

Lin, Ching-Chang Charles

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Description

Title
Large-deflection analysis of cord composite plates
Author(s)
Lin, Ching-Chang Charles
Issue Date
1992
Doctoral Committee Chair(s)
Costello, George A.
Department of Study
  • Applied Mechanics
  • Engineering, Industrial
Discipline
  • Applied Mechanics
  • Engineering, Industrial
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
  • Applied Mechanics
  • Engineering, Industrial
Language
eng
Abstract
  • Cord composites, which are constructed by embedding cords in a rubber matrix, have been used in industry for many years. This type of composite is strong in extension in the cord direction but very flexible with regard to bending. Previous studies in predicting the elastic constants of wire cord composites treated the cords as solid cylindrical wires and neglected the mechanical properties of wire strand. Wire strand usually consists of a center wire surrounded by six helical outer wires. It extends and twists when it is loaded by an axial load and twists and extends when it is subjected to a twisting moment. It is also more flexible than the solid cylindrical cord with the same cross sectional area. This coupling and flexibility should be apparent in the response of a cord composite.
  • In the present work, the mechanical properties of wire strand are taken into account in determining the stiffnesses of the cord composite. Kirchhoff plate theory with large deflections is used to study a loaded thin cord composite plate by means of both the energy method and matched asymptotic method. Both the symmetric and antisymmetric part of the displacements are considered for simply supported and clamped boundaries under various loadings and orientations of the cord.
  • The results indicate that when the cord is nearly parallel to the edge of a rectangular plate, the extensional stiffness in the cord direction is much larger than any other stiffnesses of the plate and the membrane effect of the plate is much more important than the bending effect. Since the stiffness transverse to the cord direction is much less than that of the cord direction, distinct transverse boundary layers are found when the displacements become large. Antisymmetry in the displacements becomes apparent when the cord angle is large or when the helix angle of outer wires in the cord is not close to 90 degrees.
Type of Resource
text
Permalink
http://hdl.handle.net/2142/22920
Copyright and License Information
Copyright 1992 Lin, Ching-Chang Charles

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