Random Instability of Elastic-Plastic Frames
A concept of joint probability of elastic and plastic instability modes was formerly given for single columns and now it is extended for framed systems. A critical load is defined for...
An Extension of Iterative Fast Monte-Carlo (IFM) Procedure and its Applications to Time-Variant Structural Reliability Analysis
An efficient sampling procedure which is applicable to time-variant as well as time-invariant structural reliability problems is proposed. First, the concept of the conditional failure...
Structural Failure Probabilities of the HDR-Containment Under Earthquake Loading
A computational procedure for the evaluation of structural failure probabilities due to earthquake loading is developed. Uncertainties in structural and material parameters are taken into...
Monte Carlo Simulation Using Pearson's Frequency Curves
An extension of the direct Monte Carlo simulation method to estimate the probability of failure of structural systems or components is investigated. It utilizes the performance values...
Kernel Method in Importance Sampling Density Estimation
The use of the kernel method to estimate the optimal importance sampling density is introduced. This method requires samples generated from an initial direct Monte Carlo run to construct...
Expected Failure Time of Fiber Bundle Systems Subject to Gaussian Load Processes
Methods are developed for estimating the reliability and failure time of Daniels systems subject to Gaussian load processes. These systems consist of a set of parallel fibers and can carry...
Envelope Crossing Rate and First Passage Probability
Various definitions of the envelope of a random response process are discussed. The statistical properties of the random envelope process based on these definitions are then derived and...
The Extreme Value Distribution of Non-Stationary Vector Processes
In this paper the extreme value distribution of functions of non-stationary vector processes is studied. For these processes asymptotic approximations for the crossing rates through hypersurfaces...
Potential Applicability of Mathematical Statistics in Stochastic Modelling of Failure Phenomena
Failure phenomena should be investigated clearly with a good understanding of engineering uncertainties associated with strength of the material as well as randomly applied load. In this...
Stochastic Propagation of Semi-Elliptical Surface Cracks
Random propagation of a semi-elliptical surface crack is investigated as a bivariate stochastic process. Under a few assumptions, a probability distribution of the surface crack propagation...
The Effects of Thermal Variation in Fracture Toughness
Environmental temperature changes produce cyclic and thermal stresses in cylindrical structures. The probability of failure defined as the chance that a crack, growing under the influence...
Time Variant Reliability Analysis Considering Corrosive Effects
In this study the influence of corrosion is determined as a function of the stress intensity factor, the frequency and the stress ratio of the loading process. The present study investigates...
Open World Problems in Structural Reliability
A closed world model represents total knowledge about everything in a particular system. An open world model represents partial knowledge where some things are known to be true, some are...
Two Principles for Data Based Probabilistic System Analysis
A major problem in probabilistic system analysis is to find a self-consistent method of inference about probabilities based on a random sample of system state variables. Such a method...
Reliability Analysis for Nonlinear Limit States
An analytical procedure, incorporating individual probability distributions of random variables, is proposed for generating moments of any arbitrary order for the nonlinear limit state...
On the Application of Conditional Integration in Structural Reliability Analysis
An accurate, and efficient computational procedure is proposed for structural reliability analysis. The suggested advanced Monte-Carlo simulation utilizes the concept of conditional integration...
Reliability of Plastic Slabs
In the paper it is shown how upper and lower bounds for the reliability of plastic slabs can be determined. For the fundamental case it is shown that optimal bounds of a deterministic...
Utility of Reliability Index for Structural Design
Relations between design results, such as configurations, and the reliability indices, in accordance with the Advanced First Order Second Moment (AFOSM) method, are numerically investigated...
Safety Levels of Reinforced Concrete Box Culverts for Installing Power Supply Cables
The authors have examined the applicability of reliability-based design to the existing reinforced concrete box culverts for installing power supply cables. The lowest safety index of...
Reliability Study of Ferrocement Slabs Under Cyclic Loading
A simple probabilistic approach to fatigue strength studies for ferrocement slabs is presented: A preliminary experimental program to obtain the relevant statistics was conducted and the...
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