scholarly journals Mathematical and Numerical Analyses of Peridynamics for Multiscale Materials Modeling

2014 ◽  
Author(s):  
Qiang Du ◽  
◽  
Keyword(s):  
Numerical Analyses ◽  
Multiscale Materials ◽  
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.

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