Simplified analysis of a generalized bias-test for fabrics with two families of inextensible fibers

M Cuomo (1, 2) , F Dell 'Isola (3, 2) , Leopoldo Greco (2)

1 Unict - Università degli studi di Catania = University of Catania
2 M&MoCS - International Research Centre on Mathematics & Mechanics of Complex Systems
3 UNIROMA - Università degli Studi di Roma "La Sapienza" = Sapienza University [Rome]

Two tests for woven fabrics with orthogonal fibres are examined using simplified kine-matic assumptions. The aim is to analyse how different constitutive assumptions may affect the response of the specimen. The fibres are considered inextensible, and the kinematics of 2D continua with inextensible chords due to Rivlin is adopted. In addition to two forms of strain energy depending on the shear deformation, also two forms of energy depending on the gradient of shear are examined. It is shown that this energy can account for the bending of the fibres. In addition to the standard Bias Extension Test, a modified test has been examined, in which the head of the specimen is rotated rather than translated. In this case more bending occurs, so that the results of the simulation carried out with the different energy models adopted differ more that what has been found for the BE test.

Mots clés: generalized continua; second gradient elasticity; woven composites; normalisation method; bias test

Domaines: Génie mécanique [physics.class-ph]

M Cuomo, F Dell 'Isola, Leopoldo Greco. Simplified analysis of a generalized bias-test for fabrics with two families of inextensible fibers. 2016. ⟨hal-01303218⟩