Abstract
We describe a principle of bounded stiffness and show that bounded stiffness in torsion and bending implies a reduction of the curvature energy in linear isotropic Cosserat models leading to the so called conformal curvature case \(\frac{1}{2}\mu L_{c}^{2}\Vert{\operatorname{dev}\operatorname{sym}\nabla \operatorname{axl}\overline{A}}\Vert^{2}\) where \(\overline{A}\in\mathfrak{so}(3)\) is the Cosserat microrotation. Imposing bounded stiffness greatly facilitates the Cosserat parameter identification and allows a well-posed, stable determination of the one remaining length scale parameter L c and the Cosserat couple modulus μ c .
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Neff, P., Jeong, J., Münch, I., Ramézani, H. (2010). Linear Cosserat Elasticity, Conformal Curvature and Bounded Stiffness. In: Maugin, G., Metrikine, A. (eds) Mechanics of Generalized Continua. Advances in Mechanics and Mathematics, vol 21. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-5695-8_6
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DOI: https://doi.org/10.1007/978-1-4419-5695-8_6
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