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Modeling planar pantographic sheets using a nonlinear Euler–Bernoulli beam element based on B-spline functions

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Abstract

An undeformed pantographic sheet consists of two orthogonal arrays of straight fibers interconnected by internal pins. In this paper, we model the fibers of this lattice-like sheet as nonlinear Euler–Bernoulli beams and use B-spline functions for their finite element discretization. Using the concept of one-dimensional generalized force laws, we show how different models for the pins can be introduced in the model. Finally, the simulation of a tensile test is presented.
Original languageEnglish
Title of host publication89th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)
PublisherWiley
Number of pages2
DOIs
Publication statusPublished - Dec 2018
Externally publishedYes

Publication series

NameProceedings in Applied Mathematics and Mechanics
Number1
Volume18
ISSN (Print)1617-7061
ISSN (Electronic)1617-7061

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