On material representation and constitutive branching in finite compressible elasticity |
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| Affiliation: | 1. Department of Mathematics, University of California Riverside, Riverside, CA 92505, USA;2. Center for Quantitative Modeling in Biology, University of California Riverside, Riverside, CA 92505, USA;3. Department of Cell and Developmental Biology, University of Pennsylvania School of Medicine, Philadelphia, PA 19104, USA;4. Department of Applied and Computational Mathematics and Statistics, University of Notre Dame, IN 46556, USA;5. Institute of Fundamental Medicine and Biology, Kazan Federal University, Kazan 420012, Russian Federation;1. Biomechanics Research Centre (BioMEC), Biomedical Engineering, School of Engineering, College of Science and Engineering, University of Galway, Galway, Ireland;2. Institute of Biomechanics, Graz University of Technology, Austria;3. Department of Structural Engineering, Norwegian University of Science and Technology (NTNU), Trondheim, Norway;1. Okinawa Institute of Science and Technology Graduate University, Onna, Okinawa 904-0495, Japan;2. Department of Mechanical Science and Engineering, University of Illinois, Urbana, IL 61801, USA |
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| Abstract: | ![]()
The mechanical properties of two porous rubbers of different compressibility have been investigated experimentally and represented by aid of a particular isotropic strain-energy function constructed by means of separable distortional and dilatational terms. It is shown that a reduced form of the adopted strain-energy function offers definite advantages for evaluation of experimental data and reproduces well the behaviour of the investigated materials under three different loadings; uniaxial tension, plane strain tension and equibiaxial tension. The possibility of homogeneous branching from fundamental paths of the associated motions is examined and illustrated in detail for axisymmetric loading employing constitutive properties pertinent to the two materials tested. |
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