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Our goal is the computation of the failure probability of the frictionless contact problem.
The computation of the failure probability of geotechnical structures considering the soil spatial variability is generally performed using Monte Carlo Simulation (MCS) methodology.
However, the process of computing such a minimum yields the samples located in the failure domain as a by-product, thus allowing the computation of the failure probability in a very simple manner.
It permits the computation of the failure probability of any structure under any mechanical load, solely based on considerations of the microstructure and its failure properties by naturally incorporating the statistical and size-dependent aspects of failure.
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All concepts, however, require computation of the exact failure rate (renewal intensity) or, at least, the asymptotic failure rate.
However, a linear approximation is found to significantly deviate from the actual seismic hazard curve and hence can result in significant errors in the computation of the annual failure probability.
Hence, alternative techniques for efficient computation of the probability of failure of complex structures while retaining the accuracy is of paramount importance to structural engineering community.
Similarly structural reliability or "risk-based" analyses are also well developed and the computation of the probability of failure of a structural system is readily achievable.
A major step to accurately estimate a circuit SER is the computation of failure probability, which requires the computation of three derating factors, namely logical, electrical, and timing derating.
Thus, in the computation of substitution effects, failure to use the appropriate allele frequencies may result in a loss of response to selection.
The computation of failure probability bounds is accomplished by the deformation of hyper-spherical or hyper-rectangular sets in the standard normal space and utilizes a combination of numerical optimization and analytic tools.
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CEO of Professional Science Editing for Scientists @ prosciediting.com