Volume 63, Number 3, August 2003
|Page(s)||333 - 339|
|Published online||01 November 2003|
A coarse semi-analytical lattice model for lifetime statistics of loaded hierarchical materials
Department of Chemistry, 152 Davey Laboratory, The Pennsylvania State University University Park, PA 16802, USA
Accepted: 28 May 2003
The mechanical behavior of heterogeneous materials is often modeled with the use of elastic lattices, in which the defects can be imitated by the removal of lattice structure elements. This paper shows that in the case of lifetime calculations it may be possible to replace a conventional 3D elastic lattice by a 2D ordinary site percolation lattice. The considered case of crystalline polymeric materials, constant tensile moderate load and global defect nucleation rate results in Weibull lifetime distribution. The Weibull shape parameter is shown to be proportional to the power of the inverse load, which is confirmed by well-known experimental data.
PACS: 02.70.Uu – Applications of Monte Carlo methods / 81.05.Lg – Polymers and plastics; rubber; synthetic and natural fibers; organometallic and organic materials / 81.40.Np – Fatigue, corrosion fatigue, embrittlement, cracking, fracture and failure
© EDP Sciences, 2003
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.