Effect of Compatibilization on Interfacial Polarization and Intrinsic Length Scales in Biphasic Polymer Blends of PαMSAN and PMMA: A Combined Experimental and Modeling Dielectric Study

2016 ◽  
Vol 49 (4) ◽  
pp. 1464-1478 ◽  
Author(s):  
Avanish Bharati ◽  
Michael Wübbenhorst ◽  
Paula Moldenaers ◽  
Ruth Cardinaels
Keyword(s):  
Polymer Blends ◽  
Interfacial Polarization ◽  
Dielectric Study ◽  
Length Scales ◽  
Intrinsic Length

Multiple Lateral Length Scales in Phase-Separating Thin-Film Polymer Blends

Langmuir ◽  
2001 ◽  
Vol 17 (9) ◽  
pp. 2857-2860 ◽  
Author(s):  
H. Wang ◽  
R. J. Composto ◽  
E. K. Hobbie ◽  
C. C. Han
Keyword(s):  
Thin Film ◽  
Polymer Blends ◽  
Length Scales ◽  
Film Polymer ◽  
Lateral Length

Flow transitions and length scales of a channel-confined active nematic

Soft Matter ◽  
2021 ◽  
Author(s):  
Abhik Samui ◽  
Julia M. Yeomans ◽  
Sumesh P. Thampi
Keyword(s):  
Characteristic Length ◽  
Flow Regimes ◽  
Channel Width ◽  
Flow Structures ◽  
Length Scale ◽  
Length Scales ◽  
Turbulence Regime ◽  
Active Turbulence ◽  
Intrinsic Length ◽  
Flow Transitions

Different flow regimes realised by a channel-confined active nematic have a characteristic length same as channel width. Flow structures exhibit the intrinsic length scale of the fluid only in the fully developed active turbulence regime.

scholarly journals Three-dimensional numerical simulation of soft-tissue wound healing using constrained-mixture anisotropic hyperelasticity and gradient-enhanced damage mechanics

2020 ◽  
Vol 17 (162) ◽  
pp. 20190708 ◽  
Author(s):  
Di Zuo ◽  
Stéphane Avril ◽  
Haitian Yang ◽  
S. Jamaleddin Mousavi ◽  
Klaus Hackl ◽  
...  
Keyword(s):  
Wound Healing ◽  
Damage Mechanics ◽  
Healing Process ◽  
Three Dimensional ◽  
Biological Tissues ◽  
Collagen Fibres ◽  
Length Scales ◽  
Constrained Mixture ◽  
Proposed Model ◽  
Intrinsic Length

Healing of soft biological tissues is the process of self-recovery or self-repair after injury or damage to the extracellular matrix (ECM). In this work, we assume that healing is a stress-driven process, which works at recovering a homeostatic stress metric in the tissue by replacing the damaged ECM with a new undamaged one. For that, a gradient-enhanced continuum healing model is developed for three-dimensional anisotropic tissues using the modified anisotropic Holzapfel–Gasser–Ogden constitutive model. An adaptive stress-driven approach is proposed for the deposition of new collagen fibres during healing with orientations assigned depending on the principal stress direction. The intrinsic length scales of soft tissues are considered through the gradient-enhanced term, and growth and remodelling are simulated by a constrained-mixture model with temporal homogenization. The proposed model is implemented in the finite-element package Abaqus by means of a user subroutine UEL. Three numerical examples have been achieved to illustrate the performance of the proposed model in simulating the healing process with various damage situations, converging towards stress homeostasis. The orientations of newly deposited collagen fibres and the sensitivity to intrinsic length scales are studied through these examples, showing that both have a significant impact on temporal evolutions of the stress distribution and on the size of the damage region. Applications of the approach to carry out in silico experiments of wound healing are promising and show good agreement with existing experiment results.

Bending of marble with intrinsic length scales : A gradient theory with surface energy and size effects

1998 ◽  
Vol 08 (PR8) ◽  
pp. Pr8-399-Pr8-406 ◽  
Author(s):  
I. Vardoulakis ◽  
G. Exadaktylos ◽  
S. K. Kourkoulis
Keyword(s):  
Surface Energy ◽  
Size Effects ◽  
Gradient Theory ◽  
Length Scales ◽  
Intrinsic Length

What Length Scales Control the Dynamics of Miscible Polymer Blends?

2003 ◽  
Vol 36 (26) ◽  
pp. 10087-10094 ◽  
Author(s):  
Rama Kant ◽  
Sanat K. Kumar ◽  
Ralph H. Colby
Keyword(s):  
Polymer Blends ◽  
Length Scales ◽  
Miscible Polymer Blends

A scaling law for properties of nano-structured materials

2006 ◽  
Vol 462 (2069) ◽  
pp. 1355-1363 ◽  
Author(s):  
J Wang ◽  
H.L Duan ◽  
Z.P Huang ◽  
B.L Karihaloo
Keyword(s):  
Physical Properties ◽  
Size Dependence ◽  
Size Range ◽  
Scaling Law ◽  
Length Scales ◽  
Structured Materials ◽  
Nano Scale ◽  
Nano Structures ◽  
Simple Scaling ◽  
Intrinsic Length

In this brief communication, we identify intrinsic length scales of several physical properties at the nano-scale and show that, for nano-structures whose characteristic sizes are much larger than these scales, the properties obey a simple scaling law. The underlying cause of the size-dependence of these properties at the nano-scale is the competition between surface and bulk energies. This law provides a yardstick for checking the accuracy of experimentally measured or numerically computed properties of nano-structured materials over a broad size range and can thus help replace repeated and exhaustive testing by one or a few tests.

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