Abstract
Rubber-like materials are usually isotropic. It is possible, of course, to strengthen them by embedding fibers in prescribed directions and creating the fiber-reinforced composites . Nature does so with the soft biological tissues which usually consist of an isotropic matrix with the embedded and oriented collagen fibers. The collagen fibers are aligned with the axes of ligaments and tendons forming one characteristic direction or they can form two and more characteristic directions in the case of blood vessels, heart etc.
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Notes
- 1.
Note that we use \(\mathbf {Q}\) to designate the rotation of the initial configuration rather than the final one as was done in the text previously.
- 2.
We use the same notation \(\mathbf {H}\) for the generalized structure tensor as we used for the displacement gradient in (2.4). The meaning of the notation is usually clear from the context.
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Volokh, K. (2019). Anisotropic Elasticity. In: Mechanics of Soft Materials. Springer, Singapore. https://doi.org/10.1007/978-981-13-8371-7_5
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DOI: https://doi.org/10.1007/978-981-13-8371-7_5
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