Statistical mechanical model for crack growth

Buche, Michael Robert; Grutzik, Scott Joseph

doi:10.1103/physreve.109.015001

Statistical mechanical model for crack growth

Journal Article · Sun Jan 07 23:00:00 EST 2024 · Physical Review. E

DOI:https://doi.org/10.1103/physreve.109.015001· OSTI ID:2311248

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Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States). Computational Solid Mechanics and Structural Dynamics
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States). Materials and Failure Modeling

Analytic relations that describe crack growth are vital for modeling experiments and building a theoretical understanding of fracture. Upon constructing an idealized model system for the crack and applying the principles of statistical thermodynamics, it is possible to formulate the rate of thermally activated crack growth as a function of load, but the result is analytically intractable. In this report an asymptotically correct theory is used to obtain analytic approximations of the crack growth rate from the fundamental theoretical formulation. These crack growth rate relations are compared to those that exist in the literature and are validated with respect to Monte Carlo calculations and experiments. The success of this approach is encouraging for future modeling endeavors that might consider more complicated fracture mechanisms, such as inhomogeneity or a reactive environment.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: NA0003525

OSTI ID:: 2311248

Alternate ID(s):: OSTI ID: 2473567

Report Number(s):: SAND--2024-00112J

Journal Information:: Physical Review. E, Journal Name: Physical Review. E Journal Issue: 1 Vol. 109; ISSN 2470-0045

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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