Journal
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
Volume 57, Issue 8, Pages 1165-1181Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2009.05.002
Keywords
Hyperelastic composite; Homogenization; Soft tissue; Reinforced rubber; Collagen fiber
Funding
- Israel Science Foundation founded by the Israel Academy of Sciences and Humanities [1182/07]
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Motivated by experimental measurements of the uniaxial response of collagen fibers, a new strain energy-density function for a solid which is finitely extensible along a preferred direction is proposed. Next, by application of a homogenization technique, the macroscopic strain energy-density function of composites with one and two families of fibers of this material embedded in a neo-Hookean matrix are determined. The resulting explicit expressions for the macroscopic strain energy-density functions are given in terms of the behaviors of the individual phases and their volume fractions. The responses of a few specific composites are investigated, revealing the lock-up surfaces of these composites. Finally, we examine the ability of the macroscopic model to capture experimentally measured stress-strain curves for the medial layer of a human abdominal aorta. (C) 2009 Elsevier Ltd. All rights reserved
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