Correlation functions for predicting properties of heterogeneous materials. I. Experimental measurement of spatial correlation functions in multiphase solids

1974 ◽  
Vol 45 (7) ◽  
pp. 3159-3164 ◽  
Author(s):  
Peter B. Corson
Keyword(s):  
Spatial Correlation ◽  
Experimental Measurement ◽  
Correlation Functions ◽  
Heterogeneous Materials

scholarly journals Three-dimensional cellular automaton model for the destruction of brittle heterogeneous materials

2019 ◽  
Vol 129 ◽  
pp. 01020
Author(s):  
Galina Kazunina ◽  
Allay Cherednichenko
Keyword(s):  
Cellular Automaton ◽  
Correlation Functions ◽  
Damage Accumulation ◽  
Three Dimensional ◽  
Heterogeneous Materials ◽  
Electromagnetic Emission ◽  
Physical Experiments ◽  
Damage Structure ◽  
Pulsed Electromagnetic

The article investigates the evolution modes of cluster damage structure in brittle heterogeneous materials by using a three-dimensional probabilistic cellular automaton. By comparing the data of computer and physical experiments, there was established the essential role of the model parameter, which describes the intensity of the material destruction process under the influence of local overstress near the existing damage clusters - the probability of perimeter germination. The comparison of kinetic curves of damage accumulation and correlation functions showed that, depending on the probability value for damage cluster perimeter germination, two qualitatively different modes of evolution of damage accumulation process are observed. In this case, the best correspondence of correlation functions in model and physical experiment on pulsed electromagnetic emission is observed for perimeter germination probability values smaller than 0.2.

New approximate solution for N-point correlation functions for heterogeneous materials

2012 ◽  
Vol 60 (1) ◽  
pp. 104-119 ◽  
Author(s):  
M. Baniassadi ◽  
S. Ahzi ◽  
H. Garmestani ◽  
D. Ruch ◽  
Y. Remond
Keyword(s):  
Approximate Solution ◽  
Correlation Functions ◽  
Heterogeneous Materials ◽  
Point Correlation
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