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I V Papadopoulos - One of the best experts on this subject based on the ideXlab platform.
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Efficiency of algorithms for shear Stress amplitude calculation in critical plane class fatigue criteria
Computational Materials Science, 2005Co-Authors: Andrea Bernasconi, I V PapadopoulosAbstract:Fatigue criteria that belong to the critical plane class necessitate unambiguous definitions of the amplitude and mean value of the shear Stress acting on a material plane. This is achieved through the construction of the minimum circle circumscribing the path described by the tip of the shear Stress Vector on each plane. By definition, the centre and the radius of this circle provide the mean shear Stress and the shear Stress amplitude, respectively. The search of the minimum enclosing circle is an optimisation problem for which efficient numerical solution schemes are required. Several algorithms exist for similar situations; however these are not necessarily related to the fatigue strength of metals. In this paper some algorithms are studied to assess their computational efficiency within the engineering framework of the application of fatigue criteria of the critical plane type.
J L A Ferreira - One of the best experts on this subject based on the ideXlab platform.
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on the characterization of the critical plane with a simple and fast alternative measure of the shear Stress amplitude in multiaxial fatigue
International Journal of Fatigue, 2011Co-Authors: J.a. Araújo, A.p. Dantas, E N Mamiya, F C Castro, J L A FerreiraAbstract:The goal of this work is not only to characterize the critical plane determination as a well-posed problem, but also to propose an alternative measure for the shear Stress amplitude. Usually such an amplitude is characterized by the radius of the Minimum Circumscribed Circle (MCC) to the shear Stress Vector history in a material plane. In the present paper, a measure which considers a Maximum Rectangular Hull (MRH) is discussed. Available experimental data involving proportional and nonproportional Stress paths and a critical plane criterion are invoked to compare the fatigue strength estimates based on both methods (MCC and MRH). It is shown that the multiaxial fatigue estimates are improved for most data evaluated when the equivalent shear Stress amplitude is computed in terms of the MRH.
Andrea Bernasconi - One of the best experts on this subject based on the ideXlab platform.
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Efficiency of algorithms for shear Stress amplitude calculation in critical plane class fatigue criteria
Computational Materials Science, 2005Co-Authors: Andrea Bernasconi, I V PapadopoulosAbstract:Fatigue criteria that belong to the critical plane class necessitate unambiguous definitions of the amplitude and mean value of the shear Stress acting on a material plane. This is achieved through the construction of the minimum circle circumscribing the path described by the tip of the shear Stress Vector on each plane. By definition, the centre and the radius of this circle provide the mean shear Stress and the shear Stress amplitude, respectively. The search of the minimum enclosing circle is an optimisation problem for which efficient numerical solution schemes are required. Several algorithms exist for similar situations; however these are not necessarily related to the fatigue strength of metals. In this paper some algorithms are studied to assess their computational efficiency within the engineering framework of the application of fatigue criteria of the critical plane type.
Giovanni Petrucci - One of the best experts on this subject based on the ideXlab platform.
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a critical assessment of methods for the determination of the shear Stress amplitude in multiaxial fatigue criteria belonging to critical plane class
International Journal of Fatigue, 2015Co-Authors: Giovanni PetrucciAbstract:Abstract Multiaxial high cycle fatigue criteria based on the critical plane approach necessitate unambiguous definitions of the amplitude and mean value of the shear Stress (τa and τm) acting on the material planes. Four of the existing definitions relate the values of τa and τm to a geometrical element of the curve described by the tip of the shear Stress Vector (curve Ψ), respectively, the radius of the Minimum Circumscribed Circle, the Longest Chord, the Longest Projection, the diagonal of the Maximum Rectangular Hull (MRH). In this paper a critical assessment of the above definitions is proposed, focusing on that based on the concept of MRH, which is the most recently developed. The main issues of the comparison are the uniqueness of the solution in the determination of τa and τm, the ability to differentiate proportional and non-proportional Stresses, the differences of the values of τa obtained by each of the 4 methods for differently shaped curves Ψ.
J.a. Araújo - One of the best experts on this subject based on the ideXlab platform.
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on the characterization of the critical plane with a simple and fast alternative measure of the shear Stress amplitude in multiaxial fatigue
International Journal of Fatigue, 2011Co-Authors: J.a. Araújo, A.p. Dantas, E N Mamiya, F C Castro, J L A FerreiraAbstract:The goal of this work is not only to characterize the critical plane determination as a well-posed problem, but also to propose an alternative measure for the shear Stress amplitude. Usually such an amplitude is characterized by the radius of the Minimum Circumscribed Circle (MCC) to the shear Stress Vector history in a material plane. In the present paper, a measure which considers a Maximum Rectangular Hull (MRH) is discussed. Available experimental data involving proportional and nonproportional Stress paths and a critical plane criterion are invoked to compare the fatigue strength estimates based on both methods (MCC and MRH). It is shown that the multiaxial fatigue estimates are improved for most data evaluated when the equivalent shear Stress amplitude is computed in terms of the MRH.