Non-Markovian evolution approach to structural modeling of material fracture

Abstract

The new multiscale non-Markov evolution modeling approach for damage accumulation and fracture processes of polycrystalline and ultra fine grained materials is proven by experimental results at nanoscale. Microstructural parameters are estimated by an atomic-force scanning probe in situ during the deformation. The non-Marcov evolution in the approach means taking into account the history of each element on a certain structure. The ultimate state of the current level controls the transfer on the next level of the whole structure. The main difficulty of traditional multiscale modeling is the determination of the ultimate states due to the parameters. This new approach presumes it is possible to restrict the current state of a material to only one control factor of nanostructure order. The new approach of defect behavior modeling allows the simulation of materials under a wide range of external influence, including low and high temperature and other environmental factors, almost without any faults.

Citation

Lepov, V. and Loginov, A. (2012), "Non-Markovian evolution approach to structural modeling of material fracture", World Journal of Engineering, Vol. 9 No. 3, pp. 207-212. https://doi.org/10.1260/1708-5284.9.3.207