JournalTOCs

Applied Mechanics Reviews
Journal Prestige (SJR): 2.451

Citation Impact (citeScore): 8
Number of Followers: 26

Full-text available via subscription

Subscription journal
ISSN (Print) 0003-6900
Published by ASME International

[25 journals]

Statistical Scaling in Localization-Induced Failures
- Free pre-print version: Loading...
  Rate this result: What is this?
  
  Please help us test our new pre-print finding feature by giving the pre-print link a rating.
  A 5 star rating indicates the linked pre-print has the exact same content as the published article.
  
  First page: 060801
  Abstract: AbstractThe investigation of statistical scaling in localization-induced failures dates back to da Vinci's speculation on the length effect on rope strength in 1500 s. The early mathematical description of statistical scaling emerged with the birth of the extreme value statistics. The most commonly known mathematical model for statistical scaling is the Weibull size effect, which is a direct consequence of the infinite weakest-link model. However, abundant experimental observations on various localization-induced failures have shown that the Weibull size effect is inadequate. Over the last two decades, two mathematical models were developed to describe the statistical size effect in localization-induced failures. One is the finite weakest-link model, in which the random structural resistance is expressed as the minimum of a set of independent discrete random variables. The other is the level excursion model, a continuum description of the finite weakest-link model, in which the structural failure probability is calculated as the probability of the upcrossing of a random field over a barrier. This paper reviews the mathematical formulation of these two models and their applications to various engineering problems including the strength distributions of quasi-brittle structures, failure statistics of micro-electromechanical systems (MEMS) devices, breakdown statistics of high– k gate dielectrics, and probability distribution of buckling pressure of spherical shells containing random geometric imperfections. In addition, the implications of statistical scaling for the stochastic finite element simulations and the reliability-based structural design are discussed. In particular, the recent development of the size-dependent safety factors is reviewed.
  PubDate: Wed, 26 Jun 2024 00:00:00 GMT
  DOI: 10.1115/1.4065668
  Issue No: Vol. 76, No. 6 (2024)

HOME > Browse the 73 Subjects covered by JournalTOCs
Subject	Total Journals