Michael T Todinov

Michael T TodinovProf. Todinov's background is Engineering, Mathematics and Computer Science. He holds a PhD and a higher doctorate (DEng) from the University of Birmingham. His name is associated with key results in the areas: Reliability and Risk, Flow networks, Prbability, Statistics of inhomogeneous media, Theory of phase transformations, Residual stresses and Probabilistic fatigue and fracture.M.Todinov pioneered research on: the theory of repairable flow networks and networks with disturbed flows, risk-based reliability analysis - driven by the cost of system failure, fracture initiated by flaws in components with complex shape, reliability dependent on the relative configurations of random variables and optimal allocation of a fixed budget to achieve a maximal risk reduction.A sample of M.Todinov's results include: introducing the hazard stress function for modelling the probability of failure of materials and deriving the correct alternative of the Weibull model; stating a theorem regarding the exact upper bound of properties from multiple sources and a theorem regarding variance of a distribution mixture; the formulation and proof of the necessary and sufficient conditions of the Palmgren-Miner rule and Scheil's additivity rule; deriving the correct alternative of the Johnson-Mehl-Avrami-Kolmogorov equation and stating the dual network theorems for static flows networks and networks with disturbed flows. Read More Read Less

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Interpretation of Algebraic Inequalities41 %
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Flow Networks33 %
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Reverse Engineering of Algebraic Inequalities5 % NR
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Risk and Uncertainty Reduction by Using Algebraic Inequalities7 % NR
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Interpretation of Algebraic InequalitiesNR
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Flow Networks: Analysis and Optimization of Repairable Flow Networks, Networks with Disturbed Flows, Static Flow Networks and ReliabiNR
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