Search Results - "Ávila da Silva, Cláudio R."
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On the numerical determination of eigenvalues/eigenvectors using a high regularity finite element method
Published in Applied mathematical modelling (01-01-2015)“…This study investigates the numerical prediction of eigenvalues/eigenvectors in heat conduction transfer problems based on approximation spaces constructed…”
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Chaos–Galerkin solution of stochastic Timoshenko bending problems
Published in Computers & structures (01-04-2011)“…This paper presents an accurate and efficient solution for the random transverse and angular displacement fields of uncertain Timoshenko beams. Approximate,…”
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Uncertainty quantification of the stochastic process “crack size” for the Forman model using the “fast crack bounds” method
Published in Applied mathematical modelling (01-07-2023)“…•The Uncertainty quantification establish a good correlation between FCB and RK4•Computational runtime by FCB was 396.92% more efficient when compared to…”
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A non-intrusive methodology for the representation of crack growth stochastic processes
Published in Mechanics research communications (01-03-2015)“…•Proposed methodology is much more efficient than the MCS.•It requires only a few calls to the Runge–Kutta code.•Its accuracy increases with the degree of the…”
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Bending of stochastic Kirchhoff plates on Winkler foundations via the Galerkin method and the Askey–Wiener scheme
Published in Probabilistic engineering mechanics (01-04-2010)“…In this paper, the method of Galerkin and the Askey–Wiener scheme are used to obtain approximate solutions to the stochastic displacement response of Kirchhoff…”
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Uncertainty analysis on the wear coefficient of Archard model
Published in Tribology international (01-06-2008)“…This paper proposes a probabilistic model for the wear of surfaces in contact. An initial value problem (IVP) is formulated from the particularization of…”
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Fast crack bounds method applied to crack propagation models under constant amplitude loading
Published in Journal of the Brazilian Society of Mechanical Sciences and Engineering (2019)“…In linear elastic fracture mechanics (LEFM), several models under constant amplitude loading describe the propagation of a crack, and these models are…”
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Analytical bounds for efficient crack growth computation
Published in Applied mathematical modelling (01-02-2016)“…In linear elastic fracture mechanics, the rate of crack propagation is proportional to the range of stress intensity factors. The most popular model relating…”
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Strategies for finding the design point under bounded random variables
Published in Structural safety (01-01-2016)“…•Inverse of standard Gaussian cumulative probability distribution Φ-1(u), collapses when u→1.•Mapping to standard Gaussian space may collapse as bounded random…”
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Uncertainty quantification via λ-Neumann methodology of the stochastic bending problem of the Levinson–Bickford beam
Published in Acta mechanica (01-09-2022)“…In stochastic structural mechanics, the treatment of uncertainty is often the main objective of numerical simulations to estimate the responses of a system or…”
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Uncertainty quantification via [lambda]-Neumann methodology of the stochastic bending problem of the Levinson-Bickford beam
Published in Acta mechanica (01-09-2022)“…In stochastic structural mechanics, the treatment of uncertainty is often the main objective of numerical simulations to estimate the responses of a system or…”
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New error estimators, based on the Neumann-Monte Carlo methodology for quantification of the uncertainty of the problem of stochastic bending of Levinson-Bickford beam
Published in International journal of computational methods in engineering science and mechanics (12-04-2023)“…This paper proposes to apply the Neumann - Monte Carlo method to obtain the estimates of the statistical moments of the solution for stochastic bending problem…”
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Efficient bounds for the Monte Carlo–Neumann solution of stochastic thermo-elasticity problems
Published in International journal of solids and structures (01-04-2015)“…•Solution of random thermo-elastic problems addressed.•Well-known result about Neumann series upper bound explored.•Bounds for realizations of stochastic…”
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