A Hierarchical Approach to Fracture Mechanics (Paperback) (ISBN-13: 9781287267263)

Recent research conducted under NASA LaRC's Creativity and Innovation Program has led to the development of an initial approach for a hierarchical fracture mechanics. This methodology unites failure mechanisms occurring at different length scales and provides a framework for a physics-based theory of fracture. At the nanoscale, parametric molecular dynamic simulations are used to compute the energy associated with atomic level failure mechanisms. This information is used in a mesoscale percolation model of defect coalescence to obtain statistics of fracture paths and energies through Monte Carlo simulations. The mathematical structure of predicted crack paths is described using concepts of fractal geometry. The non-integer fractal dimension relates geometric and energy measures between meso- and macroscales. For illustration, a fractal-based continuum strain energy release rate is derived for inter-and transgranular fracture in polycrystalline metals.

Author: Nasa Technical Reports Server (Ntrs),Erik Seather,Shloma Taasan
ISBN-10: 1287267262
ISBN-13: 9781287267263
Publisher: Bibliogov
Language: English
Published: 07/31/2013
Pages: 32
Format: Paperback
Weight: 0.17lbs
Size: 9.69h x 7.44w x 0.07d