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Pantographic Metamaterials Show Atypical Poynting Effect Reversal

Abstract : In an analysis presented in 1909, Poynting (page 546 of[1]) had shown that for finite elastic deformations, the lines of greatest extension and contraction are inclined to the diagonals of the rhombus into which a square is sheared. The implication of this finding was that when slender structures are twisted, they undergo elongation as experimentally verified by Poynting's measurements with wires [1]. While many theoretical analyses have shown the possibility of Poynting and reverse (inverse) Poynting effect 0002; 0003; 0004; 0005; 0006 ; 0007, measurements of such effects are rather sparse 0008; 0009; 0010 ; 0011. We present here measurements of a highly nonlinear Poynting effect, including its reversal from positive to negative (elongation to compression) direction during torsion. Such atypical behavior is exhibited by a rather exceptional material system that has a pantographic internal structure. For this material system, the classical Cauchy-type continuum model fails and a 2nd gradient continuum model is necessary to describe many of its deformation behaviors.
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https://hal.archives-ouvertes.fr/hal-01724940
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Submitted on : Tuesday, March 6, 2018 - 9:38:47 PM
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Anil Misra, Tomasz Lekszycki, Ivan Giorgio, Gregor Ganzosch, Wolfgang H. Müller, et al.. Pantographic Metamaterials Show Atypical Poynting Effect Reversal. Mechanics Research Communications, Elsevier, 2018, ⟨10.1016/j.mechrescom.2018.02.003⟩. ⟨hal-01724940⟩

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