scholarly journals Nonlocal Effect on Stiffness Measurements of a Collagen Molecule

2015 ◽  
Vol 82 (3) ◽  
Author(s):  
Victor Birman
Keyword(s):  
Mechanical Properties ◽  
Nonlocal Elasticity ◽  
Nonlocal Elasticity Theory ◽  
Md Simulations ◽  
Experimental Methods ◽  
Nonlocal Effect ◽  
Collagen Molecule ◽  
One Dimensional ◽  
Collagen Molecules ◽  
Range Of Values

Accurate modeling of collagen molecules including their stiffness is essential for our understanding of mechanics of collagen fibers and tissues where these fibers play a prominent role. Studies of mechanical properties of collagen molecules employing various experimental methods and molecular dynamics (MD) simulations yield a broad range of values of the modulus of elasticity. The effect of nonlocal elasticity on the molecule stiffness derived from experiments and simulations is assessed in this brief. The estimate of the correction accounting for the nonlocal effect utilizes the exact solution of the nonlocal elasticity theory for one-dimensional elastic bars. It is demonstrated that the effect of nonlocal elasticity on the stiffness of collagen molecules can be neglected.

CALIBRATION OF NONLOCAL SCALE EFFECT PARAMETER FOR BENDING SINGLE-LAYERED GRAPHENE SHEET UNDER MOLECULAR DYNAMICS

NANO ◽  
2012 ◽  
Vol 07 (05) ◽  
pp. 1250033 ◽  
Author(s):  
L. Y. HUANG ◽  
Q. HAN ◽  
Y. J. LIANG
Keyword(s):  
Molecular Dynamics ◽  
Elasticity Theory ◽  
Scale Effect ◽  
Nonlocal Elasticity ◽  
Nonlocal Elasticity Theory ◽  
Md Simulations ◽  
Small Scale ◽  
Graphene Sheets ◽  
Small Scale Effect ◽  
Effect Parameter

In this article, the small scale effect parameter e0 of single-layered graphene sheets (SLGSs) is calibrated for the bending problem. Taking the SLGSs as a rectangular plate, the normal displacement of the simply supported plate under concentrated force was analyzed by both nonlocal elasticity theory and molecular dynamics (MD) simulations, then the small scale effect parameter e0 of SLGSs with different size was obtained by matching the displacement of the nonlocal elasticity theory and that obtained from MD simulations. The results show that the value of e0 is not a constant but has a relationship with the size of SLGSs, and the relationship of armchair-graphene sheets and zigzag-graphene sheets is different.

State-of-the-Art of Modeling Surface Water Impoundments

1982 ◽  
Vol 14 (1-2) ◽  
pp. 241-261 ◽  
Author(s):  
P A Krenkel ◽  
R H French
Keyword(s):  
Water Quality ◽  
Surface Water ◽  
State Of The Art ◽  
Rate Coefficients ◽  
Two Dimensional ◽  
One Dimensional ◽  
Integral Energy ◽  
Range Of Values ◽  
Dimensional Integral ◽  
Water Impoundment

The state-of-the-art of surface water impoundment modeling is examined from the viewpoints of both hydrodynamics and water quality. In the area of hydrodynamics current one dimensional integral energy and two dimensional models are discussed. In the area of water quality, the formulations used for various parameters are presented with a range of values for the associated rate coefficients.

scholarly journals Double mode model of size-dependent chaotic vibrations of nanoplates based on the nonlocal elasticity theory

2021 ◽  
Author(s):  
Jan Awrejcewicz ◽  
Grzegorz Kudra ◽  
Olga Mazur
Keyword(s):  
Elasticity Theory ◽  
Nonlocal Elasticity ◽  
Scale Effects ◽  
Plate Theory ◽  
Nonlocal Parameter ◽  
Nonlocal Elasticity Theory ◽  
Phase Portraits ◽  
Small Scale ◽  
Governing System ◽  
Account Due

AbstractIn this paper vibrations of the isotropic micro/nanoplates subjected to transverse and in-plane excitation are investigated. The governing equations of the problem are based on the von Kármán plate theory and Kirchhoff–Love hypothesis. The small-size effect is taken into account due to the nonlocal elasticity theory. The formulation of the problem is mixed and employs the Airy stress function. The two-mode approximation of the deflection and application of the Bubnov–Galerkin method reduces the governing system of equations to the system of ordinary differential equations. Varying the load parameters and the nonlocal parameter, the bifurcation analysis is performed. The bifurcations diagrams, the maximum Lyapunov exponents, phase portraits as well as Poincare maps are constructed based on the numerical simulations. It is shown that for some excitation conditions the chaotic motion may occur in the system. Also, the small-scale effects on the character of vibrating regimes are illustrated and discussed.

Frost Heaving Soil Road Use Synthetic Adhesive Reinforcement Method

2013 ◽  
Vol 740 ◽  
pp. 759-762
Author(s):  
Hao Zeng Bao
Keyword(s):  
Mechanical Properties ◽  
Industrial Waste ◽  
Construction Materials ◽  
Reference Value ◽  
Physical And Mechanical Properties ◽  
Road Construction ◽  
Experimental Methods ◽  
Frost Heaving ◽  
The World ◽  
Rock And Soil

In many areas, there are still a development road construction materials, traditionally, often use reinforced concrete, asphalt and other adhesive method to strengthen the low strength of rock and soil anti-freeze expansion coefficient; And now all countries in the world are studying how to use industrial production waste development of new composite materials. One of the most development potential, the production of industrial waste - slime. This paper USES the Russian kazan national construction university experimental methods, in the experiment to improve frost heaving soil physical and mechanical properties of the method for the synthesis of adhesive, based on the feasibility and applicability, environmental assessment of research and analysis, for the use of adhesive put forward a lot of reference value.

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