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

Models of initiation fatigue crack paths proposed by Macha