caa a22 4500 606166882 CHVBK 20210128100700.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s10665-014-9736-z doi (NATIONALLICENCE)springer-10.1007/s10665-014-9736-z Gower A. School of Mathematics, Statistics and Applied Mathematics, National University of Ireland Galway, University Road, Galway, Ireland aut Connecting the material parameters of soft fibre-reinforced solids with the formation of surface wrinkles [Elektronische Daten] [A. Gower] There is a need for more complete models of fibre-reinforced solids that use two anisotropic invariants. However, these models present major challenges. Two of these challenges are how to combine these anisotropic invariants and how to reliably determine the model parameters from experiments. We present an intuitive way to account for both anisotropic invariants through a measure of the fibre extension and a measure of the fibre compression. We suggest that a possible remedy to help characterize a material is to use experiments that cause wrinkles to appear on the surface of the material. We call these wrinkles surface wrinkles. A soft solid will, when compressed, often develop surface wrinkles within its elastic regime, much like when we pinch our skin. Here we use the theory of elasticity to effectively model these large deformations and predict the formation of small superimposed wrinkles. Hence we work through the conditions necessary for the appearance of small surface wrinkles and apply these conditions to a simple model that uses the measures of both fibre extension and compression. It turns out that the angle between the fibres and the surface-wrinkle orientation can be used to distinguish whether the fibres resist only extension, only compression, or a mixture of both. We also uncover a striking tendency of this angle between the fibres and the wrinkle orientation to alternate between only three or four fixed quanta. This trend increases as the fibre strength is increased. Springer Science+Business Media Dordrecht, 2014 Fibre-reinforced nationallicence Non-linear elasticity nationallicence Soft matter nationallicence Wrinkles nationallicence Journal of Engineering Mathematics Springer Netherlands 95/1(2015-12-01), 217-229 0022-0833 95:1<217 2015 95 10665 https://doi.org/10.1007/s10665-014-9736-z text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10665-014-9736-z text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Gower A. School of Mathematics, Statistics and Applied Mathematics, National University of Ireland Galway, University Road, Galway, Ireland aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Springer Netherlands 95/1(2015-12-01), 217-229 0022-0833 95:1<217 2015 95 10665