Length-Scale Effects in Hydrophobic Polymer Collapse Transitions

2021 ◽  
Author(s):  
Nico F. A. van der Vegt
Keyword(s):  
Scale Effects ◽  
Length Scale ◽  
Polymer Collapse ◽  
Hydrophobic Polymer ◽  
Collapse Transitions

Length scale effects on the macroscopic behaviour of single and polycrystalline FCC crystals

2001 ◽  
Vol 11 (PR5) ◽  
pp. Pr5-161-Pr5-170 ◽  
Author(s):  
E. P. Busso ◽  
K. S. Cheong
Keyword(s):  
Scale Effects ◽  
Length Scale

A Study on Length Scale Effects on Indentation Delamination of Thin Films

2004 ◽  
Author(s):  
W. Li ◽  
S. Qu ◽  
T. Siegmund ◽  
Y. Huang
Keyword(s):  
Plastic Deformation ◽  
Strain Gradient ◽  
Cohesive Zone ◽  
Cohesive Zone Model ◽  
Scale Effects ◽  
Scale Dependence ◽  
Zone Model ◽  
Length Scale ◽  
Gradient Plasticity ◽  
Elastic Substrates

Simulations of indentation delamination of ductile films on elastic substrates are performed. A cohesive zone model accounts for initiation and growth of interface delaminations and a strain gradient plasticity framework for the length scale dependence of plastic deformation. With the cohesive zone model and the strain gradient formulation two length scales are introduced in to the analysis.

Length scale effects on relaxations in metallic glasses

2010 ◽  
Vol 356 (6-8) ◽  
pp. 340-343 ◽  
Author(s):  
Dennis Bedorf ◽  
Konrad Samwer
Keyword(s):  
Metallic Glasses ◽  
Scale Effects ◽  
Length Scale

Nonlocal Approaches for the Vibration of Lattice Plates Including Both Shear and Bending Interactions

2018 ◽  
Vol 18 (07) ◽  
pp. 1850094 ◽  
Author(s):  
F. Hache ◽  
N. Challamel ◽  
I. Elishakoff
Keyword(s):  
Natural Frequencies ◽  
Scale Effects ◽  
Dynamical Behavior ◽  
Mindlin Plate ◽  
Length Scale ◽  
Small Length ◽  
Simply Supported ◽  
Small Length Scale ◽  
Plate Models ◽  
Scale Coefficient

The present study investigates the dynamical behavior of lattice plates, including both bending and shear interactions. The exact natural frequencies of this lattice plate are calculated for simply supported boundary conditions. These exact solutions are compared with some continuous nonlocal plate solutions that account for some scale effects due to the lattice spacing. Two continualized and one phenomenological nonlocal UflyandMindlin plate models that take into account both the rotary inertia and the shear effects are developed for capturing the small length scale effect of microstructured (or lattice) thick plates by associating the small length scale coefficient introduced in the nonlocal approach to some length scale coefficients given in a Taylor or a rational series expansion. The nonlocal phenomenological model constitutes the stress gradient Eringen’s model applied at the plate scale. The continualization process constructs continuous equation from the one of the discrete lattice models. The governing partial differential equations are solved in displacement for each nonlocal plate model. An exact analytical vibration solution is obtained for the natural frequencies of the simply supported rectangular nonlocal plate. As expected, it is found that the continualized models lead to a constant small length scale coefficient, whereas for the phenomenological nonlocal approaches, the coefficient, calibrated with respect to the element size of the microstructured plate, is structure-dependent. Moreover, comparing the natural frequencies of the continuous models with the exact discrete one, it is concluded that the continualized models provide much more accurate results than the nonlocal Uflyand–Mindlin plate models.

Attractions, Water Structure, and Thermodynamics of Hydrophobic Polymer Collapse

2008 ◽  
Vol 112 (42) ◽  
pp. 13193-13196 ◽  
Author(s):  
Gaurav Goel ◽  
Manoj V. Athawale ◽  
Shekhar Garde ◽  
Thomas M. Truskett
Keyword(s):  
Water Structure ◽  
Polymer Collapse ◽  
Hydrophobic Polymer

Fiber Diameter-Dependent Elastic Deformation in Polymer Composites—A Numerical Study

2019 ◽  
Vol 142 (1) ◽  
Author(s):  
Nitin Garg ◽  
Gurudutt Chandrashekar ◽  
Farid Alisafaei ◽  
Chung-Souk Han
Keyword(s):  
Mechanical Behavior ◽  
Polymer Composites ◽  
Elastic Deformation ◽  
Volume Fraction ◽  
Fiber Diameter ◽  
Scale Effects ◽  
Numerical Study ◽  
Length Scale ◽  
Fiber Volume ◽  
Reinforced Polymer

Abstract Microbeam bending and nano-indentation experiments illustrate that length scale-dependent elastic deformation can be significant in polymers at micron and submicron length scales. Such length scale effects in polymers should also affect the mechanical behavior of reinforced polymer composites, as particle sizes or diameters of fibers are typically in the micron range. Corresponding experiments on particle-reinforced polymer composites have shown increased stiffening with decreasing particle size at the same volume fraction. To examine a possible linkage between the size effects in neat polymers and polymer composites, a numerical study is pursued here. Based on a couple stress elasticity theory, a finite element approach for plane strain problems is applied to predict the mechanical behavior of fiber-reinforced epoxy composite materials at micrometer length scale. Numerical results show significant changes in the stress fields and illustrate that with a constant fiber volume fraction, the effective elastic modulus increases with decreasing fiber diameter. These results exhibit similar tendencies as in mechanical experiments of particle-reinforced polymer composites.

Origin of Plasticity Length-Scale Effects in Fracture

2010 ◽  
Vol 105 (11) ◽  
Author(s):  
Srinath S. Chakravarthy ◽  
William A. Curtin
Keyword(s):  
Scale Effects ◽  
Length Scale
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