Nonlinear elasticity modeling of biogels |
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Authors: | M.S. Wu H.O.K. Kirchner |
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Affiliation: | a School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore b INM—Leibniz Institute for New Materials, Campus D22, 66123 Saarbruecken, Germany |
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Abstract: | A second-order nonlinear elastic model is developed for biogels, whereby the elastic constants are estimated from the free energy densities for polymer networks and polymer-water mixtures. For typical values of the constants, important physical insights are revealed: a biogel stiffens under tension, contracts longitudinally under torsion (inverse Poynting effect), and experiences a negative normal stress under simple shear. This approach of extracting nonlinear elastic constants works for any constitutive law, and has the advantage of exploring physical phenomena without recourse to computationally intensive simulations. |
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Keywords: | Biogel Nonlinear elasticity Inverse Poynting effect Negative normal stress |
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