scholarly journals Material Twin for composite material microstructure generation and reconstruction based on Statistical Continuum Theory

2022 ◽  
pp. 100216
Author(s):  
Q. Shao ◽  
A. Makradi ◽  
D. Fiorelli ◽  
A. Mikdam ◽  
W. Huang ◽  
...  
Keyword(s):  
Composite Material ◽  
Continuum Theory ◽  
Material Microstructure ◽  
Statistical Continuum

Homogenization and Smoothing: A Unified View of Two Derivations of Effective Property Theories and Extensions

1980 ◽  
Vol 47 (3) ◽  
pp. 679-682 ◽  
Author(s):  
L. Fishman ◽  
J. J. McCoy
Keyword(s):  
Composite Materials ◽  
Continuum Theory ◽  
Effective Property ◽  
Bulk Property ◽  
Unified Framework ◽  
Relaxation Theory ◽  
Property Theory ◽  
Statistical Continuum ◽  
Dimensionless Ratio ◽  
Unified View

The response of a continuum characterized by two widely differing length scales, parameterized by the dimensionless ratio ε, is considered in the context of the composite materials problem. The development of a bulk property theory appropriate in the ε → 0 limit is examined, both from the perspective of the deterministic homogenization literature and the smoothing method associated with statistical continuum theory, and a unified framework is established. The extension of bulk property theories through the development of ordered expansions in powers of ε is discussed and specifically related to analogous treatments in linear-gas relaxation theory.

Multi-Parameter Design and Simulation of Composite Microstructure

2011 ◽  
Vol 314-316 ◽  
pp. 1306-1312
Author(s):  
Jun Chen Li ◽  
Xu Dong Li ◽  
Jie Sheng
Keyword(s):  
Composite Material ◽  
Model Simulation ◽  
Three Dimensional ◽  
Software Module ◽  
Material Microstructure ◽  
Basic Module ◽  
Material Component ◽  
Complex Models ◽  
Microstructure Model ◽  
Composite Microstructure

In order to quantify the design and simulation of various types of composite microstructure, through the Visual C++ programming language developed software 3D-ProDesign, the software for the computer to become real, complex and diverse, "mass" level three-dimensional composite material microstructure structure "samples", in the simulation process of these samples compare actual composite material component objects state , spatial orientation, spatial distribution, crystallographic orientation ,(designed can independent control of the information of the software module), and to be the microstructure of the geometric details of the simulation of an automatic forming, and can be any combination of the basic module is constructed based fiber such as polycrystalline particles enhanced composite material mixed variety of complex models of materials microstructure model, simulation model has been used in material microstructure micromechanical response calculated.

Statistical continuum theory for the effective conductivity of carbon nanotubes filled polymer composites

2011 ◽  
Vol 520 (1-2) ◽  
pp. 33-37 ◽  
Author(s):  
M. Baniassadi ◽  
A. Laachachi ◽  
A. Makradi ◽  
S. Belouettar ◽  
D. Ruch ◽  
...  
Keyword(s):  
Carbon Nanotubes ◽  
Polymer Composites ◽  
Effective Conductivity ◽  
Continuum Theory ◽  
Filled Polymer ◽  
Statistical Continuum

scholarly journals A Statistical Formulation of Viscoplastic Behavior in Heterogeneous Polycrystals

1989 ◽  
Vol 11 (1) ◽  
pp. 57-71 ◽  
Author(s):  
Brent L. Adams ◽  
Gilles R. Canova ◽  
Alain Molinari
Keyword(s):  
Velocity Field ◽  
Strain Rate ◽  
Correlation Functions ◽  
Coherence Function ◽  
Continuum Theory ◽  
Local Velocity ◽  
First Order ◽  
Statistical Continuum ◽  
Non Local ◽  
Interaction Law

A formulation for viscoplastic behavior of heterogeneous polycrystals is presented based upon the familiar constructs of statistical continuum theory. The non-local interaction law is derived which relates properties of the local velocity field to correlation functions of the local microstructure. It is demonstrated that correlation functions, based upon the two-point orientation coherence function, are required in a theory which considers first-order deviations from Taylor's 1938 uniform strain (rate) assumption. The evolution of the coherence function with deformation is also briefly considered.

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