Abstract
This work is concerned with the problems of constitutive modeling and experimental testing of perfectly flexible membranes and membranes with bending stiffness. The elastic response of such membranes is the main topic of the work, but the phenomenon of stress softening of elastomeric membranes is also shortly discussed. Special attention is devoted to the methodology of determining response functions and involved material parameters in the respective constitutive models. It is shown that the non-linear response of isotropic perfectly flexible membranes may be deduced from the inflation test provided that the complete meridian profiles of an inflated membrane are measured at different pressure levels. For linear and semi-linear constitutive models, a efficient methodology for the identifying possible types of anisotropy is presented for both the extensional and bending responses of the membrane. This methodology enables to determine the complete set of material constants for each type of anisotropy.
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Makovska, R.K., Steeb, H. (2011). Biological and Synthetic Membranes: Modeling and Experimental Methodology. In: Altenbach, H., Eremeyev, V. (eds) Shell-like Structures. Advanced Structured Materials, vol 15. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21855-2_41
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DOI: https://doi.org/10.1007/978-3-642-21855-2_41
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