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Elastic materials with sparse, rigid reinforcements and debonding

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Many natural materials like cotton, wool, or wood consist of short, stiff, discontinuous fibers embedded in a softer matrix. In recent times, synthetic materials have been produced by incorporating short metal fibers in a relatively malleable polymeric base. Here, we propose a mathematical model for describing the macroscopic behavior of these materials that is able to incorporate both the stress singularity that arises at the tips of each individual fiber and the ensuing partial detachment.

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Received July 29, 2002 / Accepted February 4, 2003/ Published online May 9, 2003 / H. Struchtrup

For Ingo Müller on his 65th birthday.

Correspondence to: J. Jenkins (e-mail: jtj2@tam.cornell.edu)

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Jenkins, J., Villaggio, P. Elastic materials with sparse, rigid reinforcements and debonding. CMT 15, 287–294 (2003). https://doi.org/10.1007/s00161-003-0118-4

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  • Keywords: fiber composites, brittle fracturer