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    Inverse scattering problem of reconstruction of an embedded micro-/nano-size scatterer within couple stress theory with micro inertia

    , Article Mechanics of Materials ; Volume 103 , 2016 , Pages 123-134 ; 01676636 (ISSN) Goodarzi, A ; Fotouhi, M ; Shodja, H. M ; Sharif University of Technology
    Elsevier  2016
    Abstract
    As long as the size of the embedded scatterer in comparison to the internal length scale of its surrounding elastic matrix is large, then the linear sampling method (LSM) and singular sources method (SSM) can be used in conjunction with classical theory of elasticity to reconstruct the size of the scatterer with reasonable accuracy. On the other hand, for the micro-/nano-size scatterer this treatment ceases to hold due to the shortcomings of classical theory of elasticity. Moreover, in the realm of this theory, wave propagation through a homogeneous medium is nondispersive on the macro-scale even for high frequency waves. This outcome is incompatible with the practical observations. A remedy... 

    The Inverse Electromagnetic Scattering Problem

    , M.Sc. Thesis Sharif University of Technology Sajedi, Masoumeh (Author) ; Hesaaraki, Mahmoud (Supervisor)

    Direct/InverseScattering of SH Wave in an Infinite Elastic Media with Micro/ Nano Inhomogeneity by Couple Stress Theory with Micro Inertia

    , Ph.D. Dissertation Sharif University of Technology Goodarzi, Azadeh (Author) ; Mohammadi Shodja, Hossein (Supervisor) ; Fotouhi, Morteza (Supervisor) ; Hesaraki, Mahmoud (Co-Advisor)
    Abstract
    Direct/inverse scattering of high frequency SH-waves by a circular micro-/nano-fiberembedded in an infinite elastic isotropic medium is addressed in the framework of couple stresstheory with micro inertia. The inadequacy of classical theory of elasticity in the problems dealingwith propagation of high frequency waves as well as the problems concerning the elastic fields inthe vicinity of micro-/nano-size defects in which the wavelengths and the size of the defects arecomparable to intrinsic length of the material is well-known. These dilemmas can be remedied byemploying the more accurate higher order continuum theories. So, in the context of couple stresstheory with micro inertia, the...