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This book gives an overview on the fatigue of materials under non-proportional loads. It presents the rich spectrum of phenomena and treats various computational models to mathematically describe the non-proportional fatigue of materials.Introduction.- The phenomena of non-proportionality in loading fatigue.- The sensitivity of materials to load non-proportionality.- Load non-proportionality in the computational models.- Summary.Offers an overview on fatigue of materials under non-proportional loads Includes supplementary material: sn.pub/extras