Local elastodynamic stresses in the unit cell of a woven fabric composite |
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Authors: | B Chen T-W Chou |
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Institution: | (1) Center for Composite Materials and Department of Mechanical Engineering, University of Delaware, Newark, DE 19716–3140, USA E-mail: chou@me.udel.edu Fax: +1-302-831-3619, US |
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Abstract: | Summary A theoretical study of the local elastodynamic stresses of woven fabric composites under dynamic loadings is presented in
this article. The analysis focuses on the unit cell of an orthogonal woven fabric composite, which is composed of two sets
of mutually orthogonal yarns of either the same fiber (nonhybrid fabric) or different fibers (hybrid fabric) in a matrix material.
Using the mosaic model for simplifying woven fabric composites and a shear lag approach to account for the inter-yarn deformation,
a one-dimensional analysis has been developed to predict the local elastodynamic and elastostatic behavior. The initial and
boundary value problems are formulated and then solved using Laplace transforms. Closed form solutions of the dynamic displacements
and stresses in each yarn and the bond shearing stresses at the interfaces between adjacent yarns are obtained in the time
domain for any type of in-plane impact loadings. When time tends to infinity, the dynamic solutions approach to their corresponding
static solutions, which are also developed in this article. Solutions of certain special cases are identical to those reported
in the literature. Lastly, the dynamic stresses and bond shearing stresses of plain weave composites subjected to step uniform
impacts are presented and discussed as an example of the general analytical model.
Received 3 May 1999; accepted for publication 22 September 1999 |
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Keywords: | Impact behavior stress waves stress concentrations woven fabric composites integral transforms |
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