Spectral Method in Multiaxial Random Fatigue

Readers will find here an excellent monograph that examines the theoretical foundations of the spectral method for fatigue life determination. 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 are analyzed. The formula proposed in this book enables readers 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: determination of loading; determination of the critical plane position for the assumed multiaxial fatigue failure criterion; determination of power spectral density of the equivalent stress or strain; determination of statistical parameters of the equivalent parameter responsible for fatigue damage; and fatigue life calculation according to a suitable hypothesis of damage accumulation.

Spectral Methods for Fatigue Description.- Theoretical Fundamentals.- Algorithm of Spectral Method for Evaluation of Fatigue Life.- Simulations.- Experimental Studies.- Conclusions.

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)