DENSITY CONCEPT IN MATERIALS MODELING AT DIFFERENT LENGTH SCALES

2002 ◽  
pp. 1295-1326
Author(s):  
Swapan K. Ghosh
Keyword(s):  
Length Scales ◽  
Materials Modeling

scholarly journals Computationally Efficient, Fully Coupled Multiscale Modeling of Materials Phenomena Using Calibrated Localization Linkages

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Surya R. Kalidindi
Keyword(s):  
Data Science ◽  
Fourier Transforms ◽  
Numerical Models ◽  
Salient Feature ◽  
Computationally Efficient ◽  
Length Scales ◽  
Multiscale Materials ◽  
Materials Modeling ◽  
Multiple Length Scales ◽  
As Stress

Most modern physics-based multiscale materials modeling and simulation tools aim to take into account the important details of the material internal structure at multiple length scales. However, they are extremely computationally expensive. In recent years, a novel data science enabled framework has been formulated for effective scale-bridging that is central to practical multiscaling. A salient feature of this new approach is its ability to capture heterogeneity of fields of interest at different length scales. In this approach, the computations at the mesoscale are handled using a novel data science approach called materials knowledge systems (MKS). The MKS approach has enjoyed tremendous success in building highly accurate and computationally efficient metamodels for localization (i.e., mesoscale spatial distribution of a macroscale imposed field such as stress or strain rate) in simulating a number of different multiscale materials phenomena. MKS derives its accuracy from the fact that it is calibrated to results from previously established numerical models for the phenomena of interest, while its computational efficiency comes from the use of fast Fourier transforms. The current capabilities and the future outlook for the MKS framework are expounded in this paper.

Computational Materials Design

2016 ◽  
pp. 1-12
Author(s):  
Shubhabrata Datta ◽  
Bishnupada Roy ◽  
J. Paulo Davim
Keyword(s):  
Mathematical Models ◽  
Materials Design ◽  
Optimization Techniques ◽  
Data Driven ◽  
Scientific Theories ◽  
Length Scales ◽  
Materials Modeling ◽  
Computational Materials Design ◽  
Computational Materials

The chapter primarily deals with brief description of different methods of materials modeling which utilizes the scientific theories in different length scales. It also gives an account of the available tools for situations where data driven models are required. Utilization of imprecise knowledge of a materials system for developing mathematical models is also discussed. A brief account of the use of optimization techniques for designing materials is discussed here.

Materials Modeling - a key for the Design of Advanced High Temperature Reactor Components

2007 ◽  
pp. 50-57
Author(s):  
Maria Samaras ◽  
Wolfgang Hoffelner ◽  
Chu Chun Fu ◽  
Michel Guttmann ◽  
Roger E. Stoller
Keyword(s):  
High Temperature ◽  
Materials Modeling ◽  
High Temperature Reactor

MODELING THE EFFECTIVE DYNAMIC PROPERTIES OF FIBER COMPOSITES MODIFIED ACROSS LENGTH SCALES

2018 ◽  
Vol 9 (2) ◽  
pp. 117-138 ◽  
Author(s):  
Dmitriy B. Volkov-Bogorodsky ◽  
Sergey A. Lurie ◽  
G. I. Kriven
Keyword(s):  
Dynamic Properties ◽  
Fiber Composites ◽  
Length Scales ◽  
Effective Dynamic

An Analytical Thermodynamic Approach to Friction of Rubber on Ice

2012 ◽  
Vol 40 (2) ◽  
pp. 124-150
Author(s):  
Klaus Wiese ◽  
Thiemo M. Kessel ◽  
Reinhard Mundl ◽  
Burkhard Wies
Keyword(s):  
Coefficient Of Friction ◽  
Liquid Layer ◽  
Contact Area ◽  
Leading Edge ◽  
Viscous Friction ◽  
Analytical Approximation ◽  
Real Contact Area ◽  
Length Scales ◽  
Real Contact ◽  
Ice Surface

ABSTRACT The presented investigation is motivated by the need for performance improvement in winter tires, based on the idea of innovative “functional” surfaces. Current tread design features focus on macroscopic length scales. The potential of microscopic surface effects for friction on wintery roads has not been considered extensively yet. We limit our considerations to length scales for which rubber is rough, in contrast to a perfectly smooth ice surface. Therefore we assume that the only source of frictional forces is the viscosity of a sheared intermediate thin liquid layer of melted ice. Rubber hysteresis and adhesion effects are considered to be negligible. The height of the liquid layer is driven by an equilibrium between the heat built up by viscous friction, energy consumption for phase transition between ice and water, and heat flow into the cold underlying ice. In addition, the microscopic “squeeze-out” phenomena of melted water resulting from rubber asperities are also taken into consideration. The size and microscopic real contact area of these asperities are derived from roughness parameters of the free rubber surface using Greenwood-Williamson contact theory and compared with the measured real contact area. The derived one-dimensional differential equation for the height of an averaged liquid layer is solved for stationary sliding by a piecewise analytical approximation. The frictional shear forces are deduced and integrated over the whole macroscopic contact area to result in a global coefficient of friction. The boundary condition at the leading edge of the contact area is prescribed by the height of a “quasi-liquid layer,” which already exists on the “free” ice surface. It turns out that this approach meets the measured coefficient of friction in the laboratory. More precisely, the calculated dependencies of the friction coefficient on ice temperature, sliding speed, and contact pressure are confirmed by measurements of a simple rubber block sample on artificial ice in the laboratory.

A new wavelet-based paradigm for hierarchical coarse-graining applied to materials modeling

2004 ◽  
Author(s):  
A.E. Ismail ◽  
G.C. Rutledge ◽  
G. Stephanopoulos
Keyword(s):  
Coarse Graining ◽  
Materials Modeling

Estimation of length scales from mesoscale networks

2008 ◽  
Author(s):  
Danijel BeluÅ¡ić ◽  
Larry Mahrt
Keyword(s):  
Length Scales

SYNTHESIS OF COMPOSITE MATERIALS: MODELING, CONTROL PROPERTIES

2017 ◽  
Vol 73 (4) ◽  
Author(s):  
Irina Garkina
Keyword(s):  
Composite Materials ◽  
Materials Modeling
Sign in / Sign up

Export Citation Format

Share Document