A 3D extension of pantographic geometries to obtain metamaterial with semi-auxetic properties
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In this work we present a three-dimensional extension of pantographic structures and describe its properties after homogenization of the unit cell. Here we rely on a description involving only the first gradient of displacement, as the semi-auxetic property is effectively described by first-order stiffness terms. For a homogenization technique, discrete asymptotic expansion is used. The material shows two positive ([Formula: see text]) and one negative Poisson’s ratios ([Formula: see text]). If, on the other hand, we assume inextensible Bernoulli beams and perfect pivots, we find a vanishing stiffness matrix, suggesting a purely higher gradient material.
2012 ◽
Vol 134
(3)
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2011 ◽
Vol 415-417
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pp. 210-213
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2014 ◽
Vol 70
(6)
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pp. i23-i24
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1990 ◽
Vol 48
(1)
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pp. 258-259
2019 ◽
Vol 63
(5)
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pp. 50401-1-50401-7
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