Bloch-Floquet waves and localisation within a heterogeneous waveguide with long cracks

Avila-Pozos, Orlando; Mishuris, Gennady; Movchan, Alexander
September 2010
Continuum Mechanics & Thermodynamics;Sep2010, Vol. 22 Issue 6-8, p545
Academic Journal
bi-material waveguide is assumed to have an array of sufficiently long cracks parallel to the boundaries. The Bloch-Floquet waves propagating along such a waveguide are dispersive, and the band gaps are clearly identified. Slow waves are supported by a system of long cracks, and such modes are represented by the flat dispersion surfaces. Asymptotic analysis combines a lower-dimensional approximation together with the boundary layers occurring near the crack tips. Stress intensity factors are evaluated via the boundary layer analysis, which is matched with the outer fields corresponding to the lower-dimensional model. Evolution of such an elastic system is discussed as the cracks grow as a consequence of the stress concentration, which occurs for some slow waves leading to the crack opening. The asymptotic analysis is supplied with numerical simulations and physical examples.


Related Articles

  • Dynamic stability of electrostatically actuated initially curved shallow micro beams. Krylov, S.; Dick, N. // Continuum Mechanics & Thermodynamics;Sep2010, Vol. 22 Issue 6-8, p445 

    Micro and nano devices incorporating bistable structural elements have functional advantages including the existence of several stable configurations at the same actuation force, extended working range, and tunable resonant frequencies. In this work, after a short review of operational...

  • Size-dependent interface energy. Ouyang, G.; Liang, L. H.; Wang, C. X.; Yang, G. W. // Applied Physics Letters;2/27/2006, Vol. 88 Issue 9, p091914 

    A universal and analytic thermodynamic model without any adjustable parameters was established to elucidate the interface energy of multilayers at the nanometer scale by taken the size effect, the interfacial orientation, and the interfacial mismatch into account. Theoretical predictions were...

  • Autofrettage and shakedown analysis of strain-hardening cylinders under thermo-mechanical loadings. Zheng, X.-T.; Xuan, F.-Z. // Journal of Strain Analysis for Engineering Design (Professional ;Jan2011, Vol. 46 Issue 1, p45 

    Autofrettage and shakedown analysis of power law strain-hardening cylinders subjected to thermo-mechanical loads were performed in the present study. The closed form solution of the limit thermal load of autofrettage and the optimum autofrettage pressure under plane strain and open-ended...

  • An Experimental and Theoretical Investigation of the Effect of Local Colony Orientations and Misorientation on Cavitation during Hot Working of Ti-6AI-4V. Bieler, Thomas R.; Nicolaou, P. D.; Semiatin, S. L. // Metallurgical & Materials Transactions. Part A;Jan2005, Vol. 36 Issue 1, p129 

    Orientation in aging microscopy was used to determine the effect of local crystallographic texture on the size of cavities formed during hot tension testing at 815 °C and a strain rate of 0.1 s--1 in Ti- 6A14V with a colony-α microstructure. Cavities nucleated preferentially in the...

  • The influence of process parameters on the physicomechanical characteristics of polycarbonate. Lebedev, S. M.; Gefle, O. S. // International Polymer Science & Technology;2014, Vol. 41 Issue 2, p33 

    The influence of the conditions applied in the processing of polycarbonate (PC) on the physicomechanical characteristics of specimens is shown. It is established that the most sensitive characteristics, depending on the direction of melt flow, the holding time in the melt, and the cooling rate...

  • Determination of surface stress of glass from data on dissolution under strain. Esipova, N.; Itskov, S. V.; Rusanov, A. I. // Russian Journal of General Chemistry;Sep2008, Vol. 78 Issue 9, p1767 

    It is the first time the scheme has been realized for the determination of the surface stress of a solid by measuring the rate of dissolution of a body under strain. The meth-od is based on the mechanochemical effect of the strain sign. The experiments were carried out with bent glass plates....

  • Prediction of the formation of stable periodic self-interstitial cluster chains [(I4)m,m=1–4] in Si under biaxial strain. Bondi, Robert J.; Lee, Sangheon; Hwang, Gyeong S. // Applied Physics Letters;6/29/2009, Vol. 94 Issue 26, p264101 

    Using density functional theory calculations, we examined the structure and stability of extendable self-interstitial cluster configurations (In,n=12,16) with four-atom periodicity in crystalline silicon under biaxial strain (-4%≤[variant_greek_epsilon]≤4%) on Si(100). In the absence...

  • Molecular dynamics simulations of the torsional instability of carbon nanotubes filled with hydrogen or silicon atoms. Wang, Q.; Liew, K. M.; Varadan, V. K. // Applied Physics Letters;1/28/2008, Vol. 92 Issue 4, p043120 

    Torsional buckling of single-walled carbon nanotubes filled with hydrogen or silicon atoms via molecular dynamics is reported. The formation of a concentric layered atomic cluster in the tubes with the half filled atoms is observed at a lower torsional angle. However, a spill-over phenomenon...

  • The effect of interlevel dielectric on the critical tensile stress to void nucleation for the reliability of Cu interconnects. Hau-Riege, Christine S.; Hau-Riege, Stefan P.; Marathe, Amit P. // Journal of Applied Physics;11/15/2004, Vol. 96 Issue 10, p5792 

    We have conducted electromigration experiments and modeling on Cu Damascene structures surrounded by different interlevel dielectric ILD and Cu-cap materials. We have determined the mechanical properties of the surrounding ILD and Cu cap to play a key role in the critical stress change to void...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics