Continuum approach for modelling transversely isotropic high-cycle fatigue

A continuum approach is proposed for modelling multiaxial high-cycle fatigue of solids which exhibit transversely isotropic fatigue properties. The approach is an extension of the original isotropic model proposed by Ottosen, Stenström and Ristinmaa in 2008, which model is based on the concept of a moving endurance surface in the stress space and on an evolving damage variable. The theory is formulated in a rate form within continuum mechanics framework without the need to measure damage changes per loading cycles. Capability of the approach is illustrated by several examples with different uni- and multiaxial loading histories.