Professor E. Macha devoted his academic life to solving the problems connected with random
multiaxial fatigue in components of machines and structures. In his studies he formulated stress, strain and
energy criteria related to critical plane concept. He also proposed several methods to determine critical plane
position. In particular, he formulated and verified weight functions applied in order to determine critical plane
position. The variance method constituted another significant contribution to the development of methods for
determining critical plane position. Apart from these criteria, Macha was exploring energy approach in fatigue of
materials and the development of fatigue cracks.
He has also observed that strain characteristics multiplied by stress amplitude determined at specimen half-life
are applied to estimate fatigue life using energy criteria. However, for cyclically instable materials, stress
amplitude value may differ a lot; therefore he proposed the method to determine energy fatigue characteristics
directly from experimental research.
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