# Spectral Method in Multiaxial Random Fatigue

• Presents a new avenue to fatigue life determination

• Includes a detailed review of literature on spectral methods for fatigue life determination

• Fatigue life determination is a key for machinery design

• Contains experimental studies and simulations

Book

Part of the Lecture Notes in Applied and Computational Mechanics book series (LNACM, volume 33)

1. Front Matter
Pages I-2
2. Pages 3-5
3. Pages 7-36
4. Adam Niesłony, Ewald Macha
Pages 37-66
5. Adam Niesłony, Ewald Macha
Pages 73-112
6. Adam Niesłony, Ewald Macha
Pages 113-133
7. Adam Niesłony, Ewald Macha
Pages 135-136
8. Back Matter
Pages 137-147

### Introduction

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.

### Keywords

Fatigue Life Calculation Fundament Life Determination Power Spectral Density Random Loading Simulation algorithm algorithms

#### Authors and affiliations

1. 1.Faculty of Mechanics Department of Mechanics and Machine DesignOpole University of Technologyul. Mikolajczyka 5Poland

### Bibliographic information

• Book Title Spectral Method in Multiaxial Random Fatigue
• Authors Adam Nieslony
Ewald Macha
• Series Title Lecture Notes in Applied and Computational Mechanics
• DOI https://doi.org/10.1007/978-3-540-73823-7
• Copyright Information Springer-Verlag Berlin Heidelberg 2007
• Publisher Name Springer, Berlin, Heidelberg
• eBook Packages Engineering Engineering (R0)
• Hardcover ISBN 978-3-540-73822-0
• Softcover ISBN 978-3-642-09304-3
• eBook ISBN 978-3-540-73823-7
• Series ISSN 1613-7736
• Edition Number 1
• Number of Pages VIII, 148
• Number of Illustrations 57 b/w illustrations, 0 illustrations in colour
• Topics
• Buy this book on publisher's site
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## Reviews

From the reviews:

"The monograph is devoted to theoretical foundations of spectral methods for fatigue life determination and their numerical realization. The book is divided into seven chapters. … In total, this book may be useful for students and engineers of the corresponding specialities." (I. A. Parinov, Zentralblatt MATH, Vol. 1131 (9), 2008)