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Expected position of the fatigue fracture plane by using the weighted mean principal Euler angles
Authors:Andrea Carpinteri  Aleksander Karolczuk  Ewald Macha  Sabrina Vantadori
Affiliation:(1) Department of Civil Engineering, University of Parma, Parco Area delle Scienze 181/A, 43100 Parma, Italy, Fax;(2) Faculty of Mechanical Engineering, Technical University of Opole, ul. Mikolajczyka 5, 45-271 Opole, Poland
Abstract:The expected principal stress axes under multiaxial fatigue loading are determined by averaging the instantaneous Euler angles through suitable weight functions. Then, the fracture plane position is derived from such expected principal stress directions. Three weight functions based on stress parameters are discussed by comparing theoretical predictions with available test results related to six metallic materials under proportional and non-proportional loading. The fatigue fracture plane position under multiaxial loading may be established on the basis of the averaged direction of the maximum principal stress, with such a direction deduced by employing proper weight functions.
Keywords:Euler angles  Fatigue fracture plane  multiaxial fatigue  principal stress directions  weight function method
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