Continuum and discrete models for structures including (quasi-) inextensible elasticae with a view to the design and modeling of composite reinforcements

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The bias-extension test for the analysis of in-plane shear properties of textile composite reinforcements and prepregs: a review (2017, background): “Definitions and identifications of the first gradient strain energies for different fibrous reinforcements can be found in [78, 79] and of the second gradient strain energy in [76, 77, 80].”
Hencky-type discrete model for pantographic structures: numerical comparison with second gradient continuum models (2016, background): “However, we believe that the potential scope of the presented model is wider: it very likely may include the most relevant deformation phenomena in the woven fabrics described in [12–19].”
Designing a light fabric metamaterial being highly macroscopically tough under directional extension: first experimental evidence (2015, background): “These cylinders form an array of elastic pivots, whose elastic energy determines the shear deformation energy of the pantographic sheet, while the bending energy of fibers will produce a second-gradient effect in the continuum model deformation energy (see [19,34,35,83] or [16,17]).”