On the effect of shear stiffness on the plane deformation of linear second gradient pantographic sheets

On the effect of shear stiffness on the plane deformation of linear second gradient pantographic sheets
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剪切刚度对线性二次梯度受电弓平面变形的影响

DOI:
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发表时间:
2016
期刊:
影响因子:
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通讯作者:
N. Rizzi
N. Rizzi
中科院分区:
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文献类型:
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作者:
D. Scerrato;I.A. Zhurba Eremeeva;T. Lekszycki;N. Rizzi

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最近,人们提出了一类新的二维超材料的研究,这已被称为可扩展缩放片。这样的二维连续统的推广的连续引入,因为它们同时考虑到弹性能量的拉伸变形和测地线弯曲的构成纤维。在本文中,我们考虑在变形能中的一项占剪切变形的影响。我们强调的现象可以是相关的模型的复合纤维增强材料的力学行为和一些格子梁约束的内部支点。我们比较了不同线性或立方剪切刚度的影响:i)对适当互连的受电弓板对的变形的影响,以及ii)对在集中在点上的力的作用下变形的受电弓板的变形的影响。
Recently it has been proposed the study of a new class of bidimensional metamaterials, which have been called extensible pantographic sheets. Such bidimensional continua are the generalization of the continua introduced in as they take simultaneously into account the elastic energy in the extensional deformation and geodesic bending of constituting fibers. In the present paper we consider in the deformation energy a term accounting for the effect of shear deformation. The phenomena which we highlight can be of relevance to model the mechanical behavior of composite fiber reinforcements and of some lattices of beams constrained by internal pivots. We compare the effect of different linear or cubic shear stiffnesses i) on the deformation of pairs of pantographic sheets suitably interconnected and ii) on the deformation of pantographic sheets deformed under the action of forces concentrated on points.
DOI: 10.1016/j.ijmecsci.2015.03.012
发表时间: 2015
影响因子: 7.3
作者:
Eisenträger J;K. Naumenko;H. Altenbach;H. Köppe
通讯作者: H. Köppe