On the composites with negative stiffness inclusions

Authors

  • Luciana Majercsik
  • Antonio S. Gliozzi
  • Ligia Munteanu

Keywords:

composites, cellular materials, negative stiffness material, damping, chess board structure

Abstract

The paper discusses a composite consisted by the negative stiffness inclusion encapsulated by a polymer matrix. Negative stiffness inclusions exhibit an unusual behavior: when they are subjected to a mechanical load, after a certain force and during a certain displacement (still in the elastic region), the force decreases with displacement. In other words, the structure displays a negative stiffness (a negative slope) in a particular portion of its load-displacement curve. This property is usually unstable, but the inclusions of negative stiffness can be stabilized within a positivestiffness material. The negative stiffness mechanism and incorporating into the matrix are defined in terms of the Eshelby’s steps: 1) a FCC crystal cell belonging to the cubic system is subjected to a stress-free biaxial deformation in the [111] direction, becoming trigonal; 2) apply a surface biaxial traction to the trigonal crystal to be incorporated into the polymeric matrix, by assuring the continuity of displacements and normal stresses across the boundaries. The Young elastic modulus and damping capacity of this composite are discussed.

References

CHRONOPOULOS, D., ANTONIADIS, I., COLLET, M., ICHCHOU, M., Enhancement of wave damping within metamaterials having embedded negative stiffness inclusions, Wave Motion, 58, pp. 165–179, 2015.

CHRONOPOULOS, D., ANTONIADIS, I., AMPATZIDIS, T., Enhanced acoustic insulation properties of composite metamaterials having embedded negative stiffness inclusions, Extreme Mechanics Letters, 12, pp. 48-54, 2017.

RODRIQUEZ, N. COBO-LOSEY, Design and testing of negative stiffness inclusions for damping materials, PhD thesis, Escuela Técnica Superior de Ingeniería (ICAI), Universidad Pontificia Comillas, Madrid, Spain, 2016.

LAKES, R.S., Extreme damping in composite materials with a negative stiffness phase, Phys. Rev. Lett., 86, 13, pp. 2897-2900, 2001.

LAKES, R.S., LEE, T., BERSIE, A., WANG, Y.C., Extreme damping in composite materials with negative stiffness inclusions, Nature, 410, 565–567, 2001.

LAKES, R. S., DRUGAN, W.J., Dramatically stiffer elastic composite materials due to a negative stiffness phase, J. of the Mechanics and Physics of Solids, 50, 5, pp. 979–1009, 2002.

CHIROIU, V., MUNTEANU, L., DUMITRIU, D., BELDIMAN, M., SECARA, C., On the arhitecture of a new cellular elastic material, Proceedings of the Romanian Academy, Series A: Mathematics, Physics, Technical Sciences, Information Science, 9, 2, pp. 105–115, 2008.

CHIROIU, V., MUNTEANU, L., DUMITRIU, D., The relationship between the behavior of auxetic and negative stiffness materials. Part I: Theory, The International Review of Mechanical Engineering (IREME), 2, 1, pp. 73–85, 2008.

SANDLER, S., WRIGHT, J.P., In: Theoretical foundation for large scale computations of nonlinear material behavior, Eds. S. Nemat Nasser, R.J. Asaro, G.A. Hegemier, M. Nijhoff, 1984.

TEODORESCU, P.P., MUNTEANU, L., CHIROIU, V., On the wave propagation in a chiral Cosserat medium, in: New Trends in Continuum Mechanics, Theta Series in Advanced Mathematics, Ed. Thetha Foundation, Bucharest, 2005, pp. 303–310.

TEODORESCU, P.P., BADEA, T., MUNTEANU, L., ONISORU, J., On the wave propagation in composite materials with a negative stiffness phase, in: New Trends in Continuum Mechanics, Theta Series in Advanced Mathematics, Edit. Thetha Foundation, Bucharest, 2005, pp. 295–302.

JANKOWSKI, A.F., TSAKALAKOS, T., The effect of strain on the elastic constants of noble metals, J. Phys. F: Met. Phys., 15, 6, pp. 1279–1292, 1985.

JANKOWSKI, A.F., Modelling the supermodulus effect in metallic multilayers, J. Phys. F: Met. Phys., 18, 3, pp. 413–427, 1988.

DELSANTO, P.P., PROVENZANO, V., UBERALL, H., Coherency strain effects in metallic bilayers, J. Phys.: Condens. Matter., 4, 15, pp. 3915–3928, 1992.

ESHELBY, J.D., The determination of the elastic field of an ellipsoidal inclusion and related problem, Proc. R. Soc. A, 241, pp. 376–396, 1957.

Published

2016-06-05

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