منابع مشابه
Nonlocal Models in Continuum Mechanics
The recent appearance of nonlocal methods is examined in the light of traditional continuum mechanics. A comparison of nonlocal approaches in the fields of solid and fluid mechanics reveals that no consistent definition of a nonlocal theory has been used. We suggest a definition based on the violation of the principle of local action in continuum mechanics. From the consideration of the implica...
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This paper presents the thermal vibration analysis of double-layer graphene sheet embedded in polymer elastic medium, using the plate theory and nonlocal continuum mechanics for small scale effects. The graphene is modeled based on continuum plate theory and the axial stress caused by the thermal effects is also considered. Nonlocal governing equations of motion for this double-layer graphene s...
متن کاملThermal vibration analysis of double-layer graphene embedded in elastic medium based on nonlocal continuum mechanics
This paper presents the thermal vibration analysis of double-layer graphene sheet embedded in polymer elastic medium, using the plate theory and nonlocal continuum mechanics for small scale effects. The graphene is modeled based on continuum plate theory and the axial stress caused by the thermal effects is also considered. Nonlocal governing equations of motion for this double-layer graphene s...
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متن کاملSpectral problems for fractional differential equations from nonlocal continuum mechanics
*Correspondence: [email protected] School of Mathematics and Statistics, Shandong University, Weihai, Shandong 264209, P.R. China Abstract This paper studies the spectral problem of a class of fractional differential equations from nonlocal continuummechanics. By applying the spectral theory of compact self-adjoint operators in Hilbert spaces, we show that the spectrum of this problem consists of ...
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ژورنال
عنوان ژورنال: International Journal of Solids and Structures
سال: 2013
ISSN: 0020-7683
DOI: 10.1016/j.ijsolstr.2012.10.019