FORMULATION OF NONLINEAR-CONTINUUM CONSTITUTIVE EQUATIONS FOR FABRIC MEMBRANES BASED ON SCHOCK MODEL

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Publication year 1994
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Title FORMULATION OF NONLINEAR-CONTINUUM CONSTITUTIVE EQUATIONS FOR FABRIC MEMBRANES BASED ON SCHOCK MODEL
Author Shiro KATO,Petch PONGPO,Fumiyoshi TAKEDA,Tatsuya YOSHINO,Emi MATSUMOTO
Summary The present paper discusses a formulation for constitutive equations of fabric membranes based on the model originally 1'roposed by Schock and gives the constitutive equations as a nonlinear continuum in terms of incremental strains. The material is assumed to be com1'osed of the orthogonal fibers and coatings over them. The crimp interchange and material nonlinearity of the fibers and coatingsEŒand the interaction between the fibers and coatings are considered in the equations as a nonlinear continuum. ThereforEŒthe equations have a form which can be directly applied to FEM analysis. The validity of the proposed constitutive equations is examined and confirmed by comparing the analytical results with the cyclic stress strain relationsEŒobtained from the experimental cyclic loadings in both bi-axial and shear states.