Mechanical response of fabric sheets to three-dimensional bending, twisting, and stretching

By David J. Steigmann, Francesco dell'Isola. 2015

180 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Control and Systems Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/11d36d96a37142ca82e8b5973acdeb49dd5ec3e1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

In Control and Systems Engineering

In Mechanics of Materials

Citations in the corpus

Linear pantographic sheets: Asymptotic micro-macro models identification (2017, background): “Pantographic sheets have an exotic behavior which is not only characterized by their anisotropy as evidenced by (i) their vanishing resistance to shear deformation, and (ii) their significant resistance to elongation along fibers; but also by their capacity to resist to variations in their so-called”
Homogenization à la Piola produces second gradient continuum models for linear pantographic lattices (2015, unknown): “…in the literature (see e.g. Altenbach, Eremeyev, & Morozov, 2009, 2010, 2012; dell’Isola & Steigmann, 2015; Giorgio, Grygoruk, dell’Isola, & Steigmann, 2015; Pietraszkiewicz, Eremeyev, & Konopińska, 2007; Steigmann & dell’Isola, 2015) and they present very interesting mathematical features.”
Continuum modelling of pantographic sheets for out-of-plane bifurcation and vibrational analysis (2017, methodology): “The procedure adopted takes into account some results presented in [15,16] and can be arranged in the following steps.”
Large deformations of planar extensible beams and pantographic lattices: heuristic homogenization, experimental and numerical examples of equilibrium (2016, methodology): “Therefore, we are led to focus our attention on some two-dimensional continua in which the second gradient of in-plane displacement (involving socalled geodesic bending, see also [6,46]) appears in the expression of deformation energy.”
Mechanical metamaterials: a state of the art (2019, methodology): “The first available models can be found in the works of Rivlin [118], Hilgers and Pipkin [119], Wang and Pipkin [120], Steigmann and Pipkin [121], Steigmann and dell’Isola [122] and dell’Isola et al.”