Quantum mechanics

Linguistics

Engineering

Philosophy

Random variable

Classification of discontinuities

Statistics

Materials science

Stress (linguistics)

Plane (geometry)

Variable (mathematics)

Computer science

Physics

Amplitude

Mathematics

Optics

Mathematical analysis

Geometry

Structural engineering

International Journal of Structural Integrity

Purpose Engineering components/structures with geometric discontinuities normally bear complex and variable loads, which lead to a multiaxial and random/variable amplitude stress/strain state. Hence, this study aims how to effectively evaluate the multiaxial random/variable amplitude fatigue life. Design/methodology/approach Recent studies on critical plane method under multiaxial random/variable amplitude loading are reviewed, and the computational framework is clearly presented in this paper. Findings Some basic concepts and latest achievements in multiaxial random/variable amplitude fatigue analysis are introduced. This review summarizes the research status of four main aspects of multiaxial fatigue under random/variable amplitude loadings, namely multiaxial fatigue criterion, method for critical plane determination, cycle counting method and damage accumulation criterion. Particularly, the latest achievements of multiaxial random/variable amplitude fatigue using critical plane methods are classified and highlighted. Originality/value This review attempts to provide references for further research on multiaxial random/variable amplitude fatigue and to promote the development of multiaxial fatigue from experimental research to practical engineering application.

Multiaxial fatigue under variable amplitude loadings: review and solutions