@ARTICLE{Macha_Ewald_A,
 author={Macha, Ewald},
 volume={vol. 48},
 number={No 1},
 journal={Archive of Mechanical Engineering},
 pages={71-101},
 howpublished={online},
 publisher={Polish Academy of Sciences, Committee on Machine Building},
 abstract={The paper contains a review of energy-based multiaxial fatigue failure criteria for cyclic and random loading. The criteria for cyclic loading have been divided into three groups, depending on the kind of strain energy density per cycle which is assumed as a damage parameter. They are: a) criteria based on elastic strain energy for high-cycle fatigue, b) criteria based on plastic strain energy for low-cycle fatigue. and c) criteria based on the sum of plastic and elastic strain energies for both low- and high-cycle fatigue. The criterion for random loading is based on the new definition of energy parameter which distinguishes plus and minus signs in history or specific work of stress on strain along chosen directions in the critical fracture plane. The criteria which rake into account strain energy density in the critical plane dominate in the energy description or multiaxial fatigue. Parameters dependent on loading and factors dependent on a kind or marcrial and inlluencing selection of the critical plane have been given. The author presented the mathematical models or the criteria and next distinguished those including influence of mean stresses and stress gradients as well as proportional and non-proportional loading. It has been emphasised that the generalized criterion of maximum shear and normal strain energy density in the critical plane seems to be the most efficient in practice and it should be developed and verified in a future.},
 type={Article},
 title={A review of energy-based multiaxial fatigue failure criteria},
 URL={http://www.journals.pan.pl/Content/125190/PDF/8_MECHANICAL_48_2001_1_Macha_A_review.pdf},
 keywords={strain energv density, cyclic and random loading, multiaxial louding, critical plane, effect of mean stresses},
}