Back to Search
Start Over
Quantifying reliability statistics for electrochemical shock of brittle materials.
- Source :
-
Journal of the Mechanics & Physics of Solids . Oct2014, Vol. 70, p71-83. 13p. - Publication Year :
- 2014
-
Abstract
- In brittle polycrystalline materials, anisotropic shape changes--such as those due to thermal expansion, composition changes, and piezoelectricity--can induce stresses severe enough to drive fracture. The stresses developed are microstructurally heterogeneous and develop in proportion to a generalized external stimulus rather than an applied load; as a consequence, traditional Weibull models do not capture the relevant scaling of failure probabilities with respect to applied stimulus or microstructural feature sizes. These limitations are surmounted by a stochastic method, called Finite Element plus Monte Carlo (FE+MC), which enables quantification of reliability statistics in brittle polycrystalline materials subjected to microstructurally heterogeneous stresses which may be driven by non-mechanical stimulii. A finite element analysis computes the stress distributions for a hypothetical defect-free virtual microstructure and a subsequent Monte Carlo analysis distributes flaws throughout the microstructure with sizes chosen from an experimental flaw size distribution. The FE+MC method is validated for uniaxial tensile loading, for which the expected Weibull distribution of failure probability is reproduced. As a demonstration of the utility of this method in a more complex stress state, we consider electrochemical shock of polycrystalline LiXCoO2 electrodes; the computed composition-dependent failure probabilities reproduce key features of experimental acoustic emission measurements not explained by previous modeling approaches. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00225096
- Volume :
- 70
- Database :
- Academic Search Index
- Journal :
- Journal of the Mechanics & Physics of Solids
- Publication Type :
- Periodical
- Accession number :
- 97454916
- Full Text :
- https://doi.org/10.1016/j.jmps.2014.05.011