Skip to Main content Skip to Navigation
Journal articles

Bias extension test for pantographic sheets: numerical simulations based on second gradient shear energies

Abstract : We consider a bi-dimensional sheet consisting of two orthogonal families of inextensible fibres. Using the representation due to Rivlin and Pipkin for admissible placements, i.e. placements preserving the lengths of the inextensible fibres, we numerically simulate a standard bias extension test on the sheet, solving a non-linear constrained optimization problem. Several first and second gradient deformation energy models are considered, depending on the shear angle between the fibres and on its gradient, and the results obtained are compared. The proposed numerical simulations will be helpful in designing a systematic experimental campaign aimed at characterizing the internal energy for physical realizations of the ideal pantographic structure presented in this paper.
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-01354960
Contributor : Christian Cardillo Connect in order to contact the contributor
Submitted on : Sunday, August 21, 2016 - 4:59:24 PM
Last modification on : Sunday, June 28, 2020 - 6:00:03 PM
Long-term archiving on: : Tuesday, November 22, 2016 - 10:20:15 AM

File

dellisola_cuomo_greco_dellacor...
Files produced by the author(s)

Identifiers

Citation

Francesco Dell'Isola, Massimo Cuomo, Leopoldo Greco, Alessandro Della Corte. Bias extension test for pantographic sheets: numerical simulations based on second gradient shear energies. Journal of Engineering Mathematics, Springer Verlag, 2016, pp.1-31. ⟨10.1007/s10665-016-9865-7⟩. ⟨hal-01354960⟩

Share

Metrics

Record views

174

Files downloads

327