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On the estimation of defects containing materials using extended non-linear theory of elasticity

Oleksandr V. Vdovychenko ,  Valeriy V. Skorokhod ,  Mykhailo B. Shtern 

Frantsevich Institute for Problems of Materials Science (IPMS), 3, Krzhizhanivsky Str., Kiev 03680, Ukraine

Abstract

Ceramics/ metal matrix composites containing rigid inclusions and different kinds of damages are considered. The special attention is paid to contribution of cracks into overall response of ceramic/metal materials under the propagation of elastic waves. Based on micromechanical considerations a mathematical model of the mechanical behavior of studied materials is developed. Unlike the known models, the created one is sensitive to difference between contribution spherical and plane pores or cracks. As a result the overall response of the materials mentioned above is different for tension and compression. The dynamic behavior of these materials has been investigated in range of elastic consideration. The free oscillations of these materials were studied. The resonant frequency dependence on magnitude of oscillations that inhere to the given type of modeling materials was established. Obtained results were used to formulate a principally new method for the detection of defects in materials fabricated by ceramic technology and powder metallurgy. This technique makes possible to differ the contribution of volume pores and plane defects on the elastic properties of such materials. The method allows the estimation of the plane defects and makes possible to monitor and to control technological routes parameters for needed way of consolidation of metal/ceramics powder materials.

 

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Presentation: Oral at E-MRS Fall Meeting 2008, Symposium I, by Oleksandr V. Vdovychenko
See On-line Journal of E-MRS Fall Meeting 2008

Submitted: 2008-05-10 03:37
Revised:   2009-06-07 00:48