Stochastic models for fatigue damage of materials

DOI10.2307/1427411zbMath0655.73053OpenAlexW2331410519MaRDI QIDQ3802751

K. Sobczyk

Publication date: 1987

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1427411

zbMATH Keywords

failure rateshock modelsjump processeslifetime distributionfatigue accumulationstochastic differential equation modelfatigue failure criterionfirst- passage timerandom fatigue crack growthrandom fatigue problems

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Fracture and damage (74R99) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Brittle damage (74R05) Reliability and life testing (62N05) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

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Optimal replacement policy under cumulative damage model and strength degradation with applications ⋮ High order numerical integrators for single integrand Stratonovich SDEs ⋮ Some Feller and Osgood type criteria for semilinear stochastic differential equations ⋮ Random multistage input and energy partition approach to the description of cavitation erosion process ⋮ Cheap arbitrary high order methods for single integrand SDEs ⋮ Periodic and Sequential Imperfect Preventive Maintenance Policies for Cumulative Damage Models ⋮ On Two Damage Accumulation Models and Their Size Effects ⋮ Probabilistic modeling of fatigue damage accumulation for reliability prediction

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