Failure processes in elastic fiber bundles

S Pradhan, A Hansen, BK Chakrabarti - Reviews of modern physics, 2010 - APS
The fiber bundle model describes a collection of elastic fibers under load. The fibers fail
successively and, for each failure, the load distribution among the surviving fibers changes …

Tampered failure rate load-sharing systems: status and perspectives

AV Suprasad, MB Krishna, P Hoang - Handbook of performability …, 2008 - Springer
Load-sharing systems have several practical applications. In load-sharing systems, the
event of a component failure will result in a higher load, therefore inducing a higher failure …

[图书][B] Quasibrittle fracture mechanics and size effect: A first course

ZP Ba, JL Le, M Salviato - 2021 - books.google.com
Many modern engineering structures are composed of brittle heterogenous, or quasibrittle,
materials. These include concrete, composites, tough ceramics, rocks, cold asphalt mixtures …

[图书][B] Statistical analysis of reliability data

MJ Crowder - 2017 - taylorfrancis.com
STATISTICAL ANALYSIS OF RELIABILITY DATA Page 1 Page 2 STATISTICAL ANALYSIS OF
RELIABILITY DATA Page 3 Page 4 CHAPMAN & HALL/CRC Texts in Statistical Science Series …

Activation energy based extreme value statistics and size effect in brittle and quasibrittle fracture

ZP Bažant, SD Pang - Journal of the Mechanics and Physics of Solids, 2007 - Elsevier
Because the uncertainty in current empirical safety factors for structural strength is far larger
than the relative errors of structural analysis, improvements in statistics offer great promise …

Unified nano-mechanics based probabilistic theory of quasibrittle and brittle structures: I. Strength, static crack growth, lifetime and scaling

JL Le, ZP Bažant, MZ Bazant - Journal of the Mechanics and Physics of …, 2011 - Elsevier
Engineering structures must be designed for an extremely low failure probability such as
10− 6, which is beyond the means of direct verification by histogram testing. This is not a …

Stochastic modeling and real-time prognostics for multi-component systems with degradation rate interactions

L Bian, N Gebraeel - Iie Transactions, 2014 - Taylor & Francis
Many conventional models that characterize the reliability of multi-component systems are
developed on the premise that component failures in a system are independent. By contrast …

Burst avalanches in solvable models of fibrous materials

M Kloster, A Hansen, PC Hemmer - Physical Review E, 1997 - APS
We review limiting models for fracture in bundles of fibers, with statistically distributed
thresholds for breakdown of individual fibers. During the breakdown process, avalanches …

Mechanics-based statistics of failure risk of quasibrittle structures and size effect on safety factors

ZP Bažant, SD Pang - … of the National Academy of Sciences, 2006 - National Acad Sciences
In mechanical design as well as protection from various natural hazards, one must ensure
an extremely low failure probability such as 10− 6. How to achieve that goal is adequately …

Scaling in size, time and risk—The problem of huge extrapolations and remedy by asymptotic matching

ZP Bažant, HT Nguyen, AA Dönmez - Journal of the Mechanics and Physics …, 2023 - Elsevier
The scaling of structural response of concrete structures to large structure sizes, to long
service lives and to tolerable failure probabilities is a problem of order-of-magnitude …