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Strain gradient elasticity theory of polymer networks
Acta Mechanica, 2022Yiyuan Jiang, Li Li, Yujin Hu
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2016
The definition of variables such as force, load, stress, strain, and displacement is vital for the understanding of state properties of solid materials and for characterizing the mechanical behavior of crack-free or cracked solids. Clearly, the latter have a different mechanical behavior than the former, and it is characterized according to the ...
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The definition of variables such as force, load, stress, strain, and displacement is vital for the understanding of state properties of solid materials and for characterizing the mechanical behavior of crack-free or cracked solids. Clearly, the latter have a different mechanical behavior than the former, and it is characterized according to the ...
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On the atomic theory of elasticity
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1950A scheme has recently been developed to present the general theories in lattice dynamics without specific assumptions about the atomic interactions. The present note aims at clarifying some basic points in using this scheme, as well as giving the correct expressions for the elastic constants (the available results given in previous works are shown to ...
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On the Dilatation Theory of Elasticity
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1981AbstractIn this paper a linear theory for a solid, for which the displacement and dilatation (volume change) fields are independent, is investigated in details. The theory is applied to describe the mechanical behaviour of an elastic solid containing a large number of microvoids and the material constants, entering the theory, are calculated for this ...
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The theory of elastic constants
Liquid Crystals, 2010The elastic theory of liquid crystals can be traced back to the early 1930s, but the origin of the molecular theory of elastic constants must be postponed to more than 30 years later, when Alfred Saupe wrote his famous papers on this subject. At approximately the same time, the seminal works by Priest and Straley also appeared.
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Journal of Vibration Engineering & Technologies, 2021
Haonan Li +3 more
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Haonan Li +3 more
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Free vibration analysis of chiral double-walled carbon nanotube using non-local elasticity theory
, 2016This article is concerned with the free vibration problem for chiral double-walled carbon nanotube (DWCNTs) modelled using the non-local elasticity theory and Euler Bernoulli beam model.
K. Rakrak +4 more
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The Linear Theory of Elasticity
1973Linear elasticity is one of the more successful theories of mathematical physics. Its pragmatic success in describing the small deformations of many materials is uncontested. The origins of the three-dimensional theory go back to the beginning of the 19th century and the derivation of the basic equations by Cauchy, Navier, and Poisson.
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