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Talk of indeterminacy is found in quantum mechanics, analyses of the open future, fictional incompleteness, and the continuum hypothesis.
The present derived T-stress solutions can be used for advanced three-dimensional fracture mechanics analyses of external cracks in engineering components.
The modified FAD was formulated for probabilistic fracture mechanics analyses of semi-elliptical surface cracks located at transverse deck welds of floating production, storage and off-loading vessels designed to operate in the North Sea.
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In the conceptual framework of fracture mechanics analyses, the study of cracked wires axially loaded has the highest interest since numerous structural elements (e.g. wires, cables, cordons or tendons) work under such a type of loading during their service lives.
To correctly incorporate stress variability in the increasingly widespread application of probabilistic‑related rock mechanics analyses, a robust approach for random stress tensor generation is essential.
The model consists of coupled fluid mechanics, contact mechanics and deformation mechanics analyses.
We then demonstrate that the asymptotic elastic stress and strain fields around the rim of the contact region, as derived from classical contact mechanics analyses, are identical to those extracted from linear-elastic fracture mechanics solutions for analogous geometries.
Detailed fracture mechanics analyses confirmed and explained the experimental observations.
The difference of reactor pressure vessel geometry, alloying elements, neutron fluence, and loading conditions were taken into account in the probabilistic fracture mechanics analyses.
A number of rock mechanic analyses have been carried out to determine rock stability and rock support.
A set of new investigation method is proposed for the fracture mechanics experiments and analyses of nano-multilayered materials.
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