A new nonconvex generalized gradient is deened and some of its calculus is developed. This generalized gradient is smaller than that of Mordukhovich but still has a good calculus. This calculus includes a rule for the linear generalized gradient of positive multiples of functions, a sum rule and a chain rule.

Imprecise random fields consider both, aleatory and epistemic uncertainties. In this paper, spatially varying material parameters representing the constitutive of a damage model for concrete are defined as imprecise by assuming an interval valued correlation length. For each length value, corresponding field is discretized Karhunen-Loève expansion. first study, effect series truncation discusse...

as a result of rule of law ideal, judges are required to act in accordance with laws. the ideal is justified by some political values: political liberty, legal liberty , personal liberty and equality. citizens are subject only to the law not to the arbitrary will or judgment of another who wields coercive government power. but in some cases law is indeterminate. in these cases there is an impor...

Distance-to-target weighting methods are widely used in life cycle impact assessment. The methods rank impacts as being more important the further away society's activities are from achieving the desired targets for the pollutants. However, we feel that the scientific bases of the distance-to-target methods still need more clarification. This article illustrates how multiattribute value theory ...

In this Report factors affecting the accuracy of Miner's Rule are dls-cussed. An nvestlgation 1s also described of the cumulative damage behaviour of DID 5014 alumlnlun alloy lug specuwns using random loading. It 1s concluded that the devlatlons from Miner's Rule observed in the uxestlgation can be ascribed manly to the actlon of residual stresses associated with yielding at tllf point of fatzg...

According to the problem that for a structure under random loads, the structural fatigue life can’t be directly calculated out by S-N curves and linear Miner cumulative damage rule. Owing to the uncertainty of loads, and the problem of the inaccuracy of calculated structural reliability index for the existence of deviation between measured data in projects and real data, the research method for...