International Journal for Multiscale Computational Engineering

The Stochastic Interface Defects in Composite Materials Subjected to Aging Processes

ABSTRAKT

The main objective of this work is to propose a brand-new stochastic model of the interface defects appearing frequently between composite components. This model is based on the semicircular idealization of those defects and stochastic approximation of materials’ aging processes. Then, the stochastic interface defects so defined are located within the artificial interphase inserted between the existing constituents, the material properties (their probabilistic moments) of which are determined from the stochastic averaging rule. This interphase with the stochastic geometry and the stochastic material properties enables for further numerical homogenization of this composite in the microscale, if only a distribution of the assumed defects has the same probabilistic properties in each representative volume element.

REFERENZEN

1. Buczkowski, R. and Kleiber, M., Elasto-plastic statistical model of strongly anisotropic rough surfaces for finite element 3-D contact analysis. DOI: 10.1016/j.cma.2005.11.014

2. Zavarise, G., Wriggers, P., Stein, E., and Schrefler, B. A., Real contact mechanisms and finite element formulation-a thermomechanical coupled approach. DOI: 10.1002/nme.1620350409

3. Jackson, R. L. and Green, I., A statistical model of elasto-plastic asperity contact between rough surfaces. DOI: 10.1016/j.triboint.2005.09.001

4. Jackson, R. L. and Streator, J. L., A mutliscale model for contact between rough surfaces. DOI: 10.1016/j.wear.2006.03.015

5. Kaminski, M., Computational Mechanics of Composite Materials: Sensitivity, Randomness and Multiscale Behaviour.

6. Sobczyk, K., Stochastic Differential Equations with Applications to Physics and Engineering.

7. Wong, E., Stochastic Processes in Information Theory and Dynamical Systems (in Polish).

8. Kaminski, M., Homogenization of fiberreinforced composites under the stochastic aging process. DOI: 10.1615/IntJMultCompEng.v6.i4.70

9. Charlesworth, B., Patterns of age-specific means and genetic variances of mortality rates predicted by the mutation-accumulation theory of ageing. DOI: 10.1006/jtbi.2001.2296

10. Van Noortwijk, J. M. and Pandey, M. D., A stochastic deterioration process for timedependent reliability analysis.

11. Cornil, J. N. and Testud, P., An Introduction to Maple V.