Spatially Averaged Local Strains in Textile Composites Via the Binary Model Formulation

[+] Author and Article Information
Qingda Yang, Brian Cox

Rockwell Scientific, 1049 Camino Dos Rios, Thousand Oaks, CA 91360

J. Eng. Mater. Technol 125(4), 418-425 (Sep 22, 2003) (8 pages) doi:10.1115/1.1605117 History: Received January 10, 2003; Revised March 05, 2003; Online September 22, 2003
Copyright © 2003 by ASME
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Schematic of the model composite, containing a single tow crossover (not to scale)
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Different meshes used for the Binary Model approximation of the cell. Diagonal lines trace tow elements. Square lines on the near faces trace effective medium elements: (a) 1 string per tow; and (b) 4 strings per tow.
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Three strain components as predicted by the Binary-Model and after spatial averaging using various averaging volumes. Calculations made using the meshes shown in Fig. 2: (a) 16 EM elements and 1 string/tow; (b) 16 EM elements and 4 strings/tow; (c) 64 EM elements and 1 string/tow; and (d) 64 EM elements and 4 strings/tow.
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(a) Architecture of a three-dimensional-braided T-stiffener (drawings courtesy Dr. Dmitri Mungalov, 3Tex Inc.). (b) Fiber tow arrangement in the web showing two different types of tow cross-over configurations.
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Thermal residual strains predicted in the three-dimensional-braided T-stiffener of Fig. 4. The maximum principal strain is shown. The magnitudes of the strains are those expected for representative material and temperature parameters.
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(a) The minimum principal strain (i.e., maximum compressive strain) in a three-dimensional-braided T-stiffener in cantilever loading. (b) Variation of the spatially-averaged maximum compressive strain (minimum principal strain, ε1) and maximum shear strain, γmax, along fiber Tow 1 (Fig. 4(b)) as a function of distance from the built-in end. Strains normalized by the local values predicted for a homogeneous material.



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