On local indentation and impact compliance of isotropic auxetic materials from the continuum mechanics viewpoint

被引:131
作者
Argatov, Ivan I. [2 ]
Guinovart-Diaz, Raul [3 ]
Sabina, Federico J. [1 ]
机构
[1] Univ Nacl Autonoma Mexico, Inst Invest Matemet Aplicadas & Sistemas, Mexico City 01000, DF, Mexico
[2] Aberystwyth Univ, Inst Math & Phys, Ceredigion SY23 3BZ, Wales
[3] Univ La Habana, Fac Matemat & Comp, Vedado 10400 4, Habana, Cuba
关键词
Auxetic materials; Indentation compliance; Impact compliance; Asymptotic models; Hertzian theory of impact; RIGID CIRCULAR DISC; CONTACT PROBLEMS; ELASTIC-MODULUS; VIBRATION; INDENTER;
D O I
10.1016/j.ijengsci.2012.01.010
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Implications of the negative Poisson ratio with regard to the quasi-static and dynamic indentation compliances for isotropic homogeneous materials are considered. It has been shown that analogously to some solutions for three-dimensional stress or displacement fields concentrations, the indentation, vibrational, and impact compliances are significantly affected when Poisson's ratio of the material assumes negative values. It was observed that the friction at the contact interface between the indenter and the surface of an elastic medium strengthens the negative Poisson ratio effect. In the Hertzian contact problem, it was found out that the location of the maximum shear stress approaches the contact interface as Poisson's ratio is made sufficiently negative. In view of this fact, the local indentation of a coated elastic half-space, which is reinforced with an elastic plate, has been considered. It was shown that the reinforcement preserves the negative Poisson ratio effect, and the perfect bonding of the plate to the surface of an auxetic half-space significantly strengthens it. This theoretical work be considered as a first step towards an indentation and impact analysis of real auxetic materials. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码:42 / 57
页数:16
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