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    Compatibility Equations in the Theory of Elasticity 

    Source: Journal of Vibration and Acoustics:;2003:;volume( 125 ):;issue: 002:;page 244
    Author(s): Igor V. Andrianov; Jan Awrejcewicz
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: It is shown by operational method that the boundary value problem of the theory of elasticity related to stresses, which can be reduced to three strains compatibility equations and to three ...
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    New Trends in Asymptotic Approaches: Summation and Interpolation Methods 

    Source: Applied Mechanics Reviews:;2001:;volume( 054 ):;issue: 001:;page 69
    Author(s): Igor V. Andrianov; Jan Awrejcewicz
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this review article, we present in some detail new trends in application of asymptotic techniques to mechanical problems. First we consider the various methods which allows for the possibility ...
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    Homogenization of Quasi-Periodic Structures 

    Source: Journal of Vibration and Acoustics:;2006:;volume( 128 ):;issue: 004:;page 532
    Author(s): Igor V. Andrianov; Jan Awrejcewicz; Alexander A. Diskovsky
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A novel asymptotical approach to integrate differential equations governing quasi-regular structures, particularly suitable on the stage of construction design, is proposed.
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    Asymptotic approaches in mechanics: New parameters and procedures 

    Source: Applied Mechanics Reviews:;2003:;volume( 056 ):;issue: 001:;page 87
    Author(s): Igor V Andrianov; Jan Awrejcewicz; Rem G Barantsev
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This survey is devoted to recent achievements in the field of asymptotic approaches. Here we consider the asymptotics in relation to completely new and sometimes unexpected parameters. Some ...
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    Asymptotic Homogenization of Composite Materials and Structures 

    Source: Applied Mechanics Reviews:;2009:;volume( 062 ):;issue: 003:;page 30802
    Author(s): Alexander L. Kalamkarov; Igor V. Andrianov; Vladyslav V. Danishevs’kyy
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The present paper provides details on the new trends in application of asymptotic homogenization techniques to the analysis of composite materials and thin-walled composite structures and their ...
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