作为二维纳米材料变形行为连续模型的大挠度弹性壳的动量-膜理论

IF 0.3 Q4 MECHANICS

Moscow University Mechanics Bulletin Pub Date : 2024-08-01 DOI:10.3103/S0027133024700079

S. H. Sargsyan

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引用次数: 0

摘要

摘要本文使用了壳元素变形、挠扭特性和旋转角度较小的假设，以及壳浅的假设。在此假设基础上，借助三维几何非线性弹性力矩理论，仅保留来自法向位移（挠度）及其导数的非线性项，构建了弹性壳的几何非线性力矩膜理论。所构建的理论被解释为柔性二维纳米材料（尤其是碳纳米管和石墨烯）变形行为的连续理论。

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Moment-Membrane Theory of Elastic Shells of Large Deflection as a Continuum Model of Deformation Behavior of Two-Dimensional Nanomaterials

This paper uses the assumption on the smallness of deformations, flexural-torsional characteristics and angles of rotation of the shell elements, as well as the assumption on shell’s shallowness. Based on this assumption, a geometrically nonlinear moment-membrane theory of elastic shells is constructed with the help of the three-dimensional geometrically nonlinear moment theory of elasticity and by preserving only those nonlinear terms that come from normal displacement (deflection) and its derivatives. The constructed theory is interpreted as a continuum theory of the deformation behavior of flexible two-dimensional nanomaterials, in particular, of carbon nanotubes and graphene.

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来源期刊

Moscow University Mechanics Bulletin MECHANICS-

CiteScore

0.60

自引率

0.00%

发文量

期刊介绍： Moscow University Mechanics Bulletin is the journal of scientific publications, reflecting the most important areas of mechanics at Lomonosov Moscow State University. The journal is dedicated to research in theoretical mechanics, applied mechanics and motion control, hydrodynamics, aeromechanics, gas and wave dynamics, theory of elasticity, theory of elasticity and mechanics of composites.