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Finite Element Methods for Parabolic Stochastic PDE?s
Potential Analysis, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Stochastic Finite Element Analysis of Composites
American Society for Composites 2018, 2018Composite materials can have a large variation in material properties, especially in the transverse direction. This can cause difficulty when designing with these materials and may lead to overdesigning the material. Using finite element software, a model was created to simulate failure of composite materials in the transverse direction.
RANDALL DOLES +2 more
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Reliability Calculation of Stochastic Finite Element
2022The stochastic finite element third-order perturbation method for linear static problems is formulated. The stress-strength interference model, Monte Carlo simulation and a new iterative method (NIM) of reliability calculation for the linear static problem and linear vibration are proposed.
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Micromechanically based stochastic finite elements
Finite Elements in Analysis and Design, 1993Abstract A stochastic finite element method for analysis of effects of spatial variability of material properties is developed with the help of a micromechanics approach. The method is illustrated by evaluating the first and second moments of the global response of a membrane with microstructure of a spatially random inclusion-matrix composite under ...
Alzebdeh, K., Ostoja-Starzewski, M.
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Random fields and stochastic finite elements
Structural Safety, 1986Abstract This state of the art paper identifies as the distinguishing feature of stochastic finite element analysis that it involves the discretization of the parameter space of a random field of material properties and / or loads. This discretization implies that the stochastic input consists of a vector of random variables whose covariance matrix ...
E. Vanmarcke +4 more
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Stochastic Finite Element Analysis: an Introduction
2020With the aid of the finite element method, the present paper deals with the problem of structural response variability resulting from the spatial variability of material properties of structures, when they are subjected to static loads of a deterministic nature. Several forms of spatial variability of Young’s modulus and Poisson’s ratio are considered;
Masanobu Shinozuka, Fumio Yamazaki
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Nonlinear Stochastic Finite Element Method
2022Considering the influence of random factors on the structure, three stochastic finite element methods for general nonlinear problems are proposed. They are Taylor expansion method, perturbation method and Neumann expansion method. The mean value of displacement is obtained by the tangent stiffness method or the initial stress method of nonlinear ...
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Stochastic finite element analysis of shells
Computer Methods in Applied Mechanics and Engineering, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Argyris, John +2 more
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Finite elements for stochastic media problems
Computer Methods in Applied Mechanics and Engineering, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Matthies, Hermann G., Bucher, Christian
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