A Method of the Determination of Elastic Constants for Membrane Material Nonlinear Stress Analysis Using a Multi-step Linear Approximation

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Publication year 1996
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Title A Method of the Determination of Elastic Constants for Membrane Material Nonlinear Stress Analysis Using a Multi-step Linear Approximation
Author Hirokazu Minami,Chiaki Yamamoto,Sinya Segawa,Yoshihiro Kono
Summary PTFE coated glass fiber fabric exhibit considerable material non-linear behaviors. A feasible method which incorporates one of major static non-linear effects is presented. and makes it possible to analyze more accurately these membrane structures. The method employs multi-step linearized approximation. The orthogonal stresses (Tx, Ty) and strains (εx, εy ) of the coated fabric forms surfaces on the way of the biaxial deformation. Firstly,the whole surfaces are divided into a large number of small quadrilaterals which are specified by two higher and lower stress levels and two stress ratios (Tx / Ty). Secondly, linearized stress-strain relationships are given by a method of least squares for the respective quadrilaterals. The elastic parameters determined in this way are stored and used in the stress analysis of membrane structures. The feasibility of this approximation method is shown by an experiment that the central deflection of a 40cm by 40cm square PTFE coated fabric under uniform air pressure is measured.