A short-range-correlation (SRC) model is introduced in the framework of Markov/Gibbs random field theory to characterize and simulate random media. The Metropolis spin-flip algorithm is applied to build a robust simulator for multiphase random materials. Through development of the SRC model, several crucial conceptual ambiguities are clarified, and higher-order statistical simulation of random materials becomes computationally feasible. In the numerical examples, second- and third-order statistical simulations are demonstrated for biphase random materials, which shed light on the relationship between -order correlation functions and morphological features. Based on the observations, further conjectures are made concerning some fundamental morphological questions, particularly for future investigation of physical behavior of random media. It is expected that the SRC model can also be extended to third- and higher-order simulations of non-Gaussian stochastic processes such as wind pressure, ocean waves, and earthquake accelerations, which is an important research direction for high fidelity simulation of physical processes.
Skip Nav Destination
Article navigation
November 2008
Research Papers
Stochastic Morphological Modeling of Random Multiphase Materials
Lori Graham-Brady,
Lori Graham-Brady
Department of Civil Engineering,
Johns Hopkins University
, 3400 North Charles Street, Latrobe Hall, Baltimore, MD 21218
Search for other works by this author on:
X. Frank Xu
X. Frank Xu
Department of Civil, Environmental, and Ocean Engineering,
Stevens Institute of Technology
, Castle Point on Hudson, Hoboken, NJ 07030
Search for other works by this author on:
Lori Graham-Brady
Department of Civil Engineering,
Johns Hopkins University
, 3400 North Charles Street, Latrobe Hall, Baltimore, MD 21218
X. Frank Xu
Department of Civil, Environmental, and Ocean Engineering,
Stevens Institute of Technology
, Castle Point on Hudson, Hoboken, NJ 07030J. Appl. Mech. Nov 2008, 75(6): 061001 (10 pages)
Published Online: August 15, 2008
Article history
Received:
September 28, 2005
Revised:
January 9, 2007
Published:
August 15, 2008
Citation
Graham-Brady, L., and Xu, X. F. (August 15, 2008). "Stochastic Morphological Modeling of Random Multiphase Materials." ASME. J. Appl. Mech. November 2008; 75(6): 061001. https://doi.org/10.1115/1.2957598
Download citation file:
Get Email Alerts
Hamiltonian System-Based Symplectic Framework for Analytical Vibration Analysis of Microplates
J. Appl. Mech (December 2024)
Related Articles
Stochastic Averaging and Optimal Prediction
J. Vib. Acoust (December,2007)
Gray-Box Approach for Fault Detection of Dynamical Systems
J. Dyn. Sys., Meas., Control (September,2003)
Stochastic Response of Offshore Structures by a New Approach to Statistical Cubicization
J. Offshore Mech. Arct. Eng (February,2002)
An Application of Mean Square Calculus to Sliding Wear
J. Appl. Mech (March,2010)
Related Proceedings Papers
Related Chapters
Measuring Graph Similarity Using Node Indexing and Message Passing
International Conference on Computer Technology and Development, 3rd (ICCTD 2011)
Model and Simulation of Low Elevation Ground-to-Air Fading Channel
International Conference on Instrumentation, Measurement, Circuits and Systems (ICIMCS 2011)
Stochastic Processes to Model Impact Events in a Vibratory Cavitation Erosion Apparatus
Proceedings of the 10th International Symposium on Cavitation (CAV2018)