Spectral Method in Multiaxial Random Fatigue

This monograph contains theoretical foundations of the spectral method for fatigue life determination where the authors discuss a rule of description of random loading states with the matrix of power spectral density functions of the stress/strain tensor components. Some chosen criteria of multiaxia...

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Bibliographic Details
Main Authors: Nieslony, Adam, Macha, Ewald (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2007, 2007
Edition:1st ed. 2007
Series:Lecture Notes in Applied and Computational Mechanics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Spectral Method in Multiaxial Random Fatigue  |h Elektronische Ressource  |c by Adam Nieslony, Ewald Macha 
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505 0 |a Spectral Methods for Fatigue Description -- Theoretical Fundamentals -- Algorithm of Spectral Method for Evaluation of Fatigue Life -- Simulations -- Experimental Studies -- Conclusions 
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653 |a Solid Mechanics 
653 |a Engineering / Data processing 
653 |a Mathematical and Computational Engineering Applications 
653 |a Building Construction and Design 
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520 |a This monograph contains theoretical foundations of the spectral method for fatigue life determination where the authors discuss a rule of description of random loading states with the matrix of power spectral density functions of the stress/strain tensor components. Some chosen criteria of multiaxial fatigue failure being linear combinations of stress or strain components on the critical plane are analyzed. The formula proposed in this book enables to determine power spectral density of the equivalent history directly from the components of the power spectral density matrix of the multidimensional stochastic process. It presents the assumptions and the procedure of determination of basic relationships of the spectral method. The authors work out equations determining the fatigue life according to the spectral method using various linear hypotheses of fatigue damage accumulation. The algorithm of fatigue life contains five blocks: 1 – determination of loading, 2 – determination of the critical plane position for the assumed multiaxial fatigue failure criterion, 3 – determination of power spectral density of the equivalent stress or strain, 4 – determination of statistical parameters of the equivalent parameter responsible for fatigue damage, and 5 – fatigue life calculation according to a suitable hypothesis of damage accumulation. The book can be also recommended to postgraduate and PhD students with an interest in fatigue of engineering materials