6533b85dfe1ef96bd12be5af

RESEARCH PRODUCT

Statistical Properties of Generalized Strain Criterion for Multiaxial Random Fatigue

E. Macha

subject

Cyclic stressFrequency bandMathematical analysisSpectral densityInfinitesimal strain theoryExpected valueCombinatoricsCondensed Matter::Materials Sciencesymbols.namesakesymbolsErgodic theoryProbability distributionGaussian processMathematics

description

ABSTRACT Statistical properties of generalized criterion of the maximum shear and normal strains on the fracture plane have been presented, Functions of probability distribution and spectral density of the equivalent strain have been analysed on the assumption that a random tensor of strain state is a six-dimensional stationary and ergodic Gaussian process. The expected value and variance of the equivalent strain have been determined as well. From spectral analysis a new limitation has been derived for extension of some multiaxial cyclic fatigue criteria to random loadings. It is connected with the fact that in some cases the frequency band of the equivalent strain is greater than that for the random tensor of strain state.

https://doi.org/10.1016/b978-0-08-034341-9.50138-8