Grundlagen zur Berechnung der Schwingfestigkeit bei mehrachsiger Beanspruchung ohne Phasenverschiebung

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The book provides a comprehensive exploration of the theoretical foundations of strength calculations under multiaxial loading combinations, addressing both static and fluctuating stresses. It begins with an introduction to the temporal stress sequence, detailing loading stresses and stress patterns in material elements. Key concepts include principal normal stresses under cyclic loading and the relationship between load and material strength, particularly focusing on fatigue strength in uniaxial loading and the orientation dependence of allowable normal stress amplitudes. The text delves into failure conditions based on normal stress hypotheses, examining material behavior according to Goodman and Gerber relationships. It also discusses failure criteria derived from shear stress hypotheses and presents a general quadratic failure condition with verification of coefficients and practical examples. A comparative analysis of various calculation methods is included, such as failure hypotheses based on the Mises yield condition and methods involving stress ratios. The summary encapsulates the findings, supported by an appendix detailing the general formulation of fatigue strength amplitude in Haigh representation and an illustration appendix. Additionally, the book features an experimental investigation of the fatigue strength of specific steel grades under superimposed biaxial static loading, outlining the testing setup, speci