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Curves on $S^{n - 1} $ That Lead to Eigenvalues or Their Means of a Matrix
SIAM Journal on Algebraic Discrete Methods, 1986Starting with an \(n\times n\) matrix M one defines \[ M(y)=[(M-\rho (y))^ T\cdot (M-\rho (y))]^{-1} \] where \(\rho (y)=(y,My)/(y,y)\) is the Rayleigh quotient of \(y\in R^ n\) with respect to M. For any solution y(t) of the autonomous differential equation \(\dot y=M(y)\cdot y\), one considers the smooth flow \(u(t)=y(t)/\| y(t)\|\) on the unit ...
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Effects of Replication on Measured S-N Curves of Metals
Advanced Materials Research, 2011Replication, or repeated tests at the same stress amplitude, is used to provide statistical confidence in life data during the development of S-N curves. This paper discusses the effects of replication on the measurement of S-N curves and presents an alternative to traditional replication methods for the determination of S-N curves, particularly for ...
Duan, Kai. +2 more
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S-N curves of copper single crystals
Philosophical Magazine, 1966Abstract Stress versus number of cycles curves are determined for copper single crystals by the method of constant stress amplitude. If the applied stress amplitude is expressed as shear stress on the most stressed initial slip system, the curves assume a form very similar to that reported earlier for polycrystalline f.c.c. metals. Orientation seems to
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Obtaining S–N curves from crack growth curves: an alternative to self-similarity
International Journal of Fracture, 2014A crack growth model that allows us to obtain the S–N curves from the crack growth rate curves is presented in an attempt to harmonize the stress based and fracture mechanics approaches in lifetime prediction of long cracks propagation. First, using the Buckingham theorem, the crack growth rate curve
Enrique Castillo +2 more
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An improved neural computing method for describing the scatter of S–N curves
International Journal of Fatigue, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bučar, T., Nagode, M., Fajdiga, M.
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S–N curve and fatigue damage for practicality
2019This chapter provides practical guides, based on a theory for mathematical validity framework, for finding the fatigue damage function with an S–N curve. The Kim and Zhang S–N curve model is described for practicality within the historical context of development of other S–N curve models. Subsequently, the validity conditions required in predicting the
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Verification of Accelerated Methods for Determining the S-N Curve
Applied Mechanics and Materials, 2012The paper presents accelerated methods for determining the fatigue curve in high cycle fatigue. The estimated fatigue characteristics using these algorithms always show an error, however the applicable literature does not seem to specify how accurate the methods are, which calls for their further examination.
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Assessment of Fatigue Resistance of Concrete: S-N Curves to Paris’ Law Curves
SSRN Electronic Journal, 2022Petr Miarka +3 more
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