Uncertainty quantification via \(\lambda\)-Neumann methodology of the stochastic bending problem of the Levinson-Bickford beam

DOI10.1007/s00707-022-03266-8zbMath1500.74039OpenAlexW4285728954MaRDI QIDQ2083761

Roberto M. F. Squarcio, Claudio R. Ávila jun. da Silva

Publication date: 11 October 2022

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-022-03266-8

zbMATH Keywords

variational formulationrandom materialasymptotic complexityhigh-order bending theorystochastic Lax-Milgram lemma

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Random structure in solid mechanics (74E35) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60)

Cites Work

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• The stochastic finite element method: past, present and future
• Nonlocal nonlinear formulations for bending of classical and shear deformation theories of beams and plates
• Solving elliptic boundary value problems with uncertain coefficients by the finite element method: the stochastic formulation
• Efficient stochastic Galerkin methods for random diffusion equations
• Self-correcting approximate solution by the iterative method for linear and nonlinear stochastic differential equations
• Mechanical behaviour of laminated composite beam by the new multi-layered laminated composite structures model with transverse shear stress continuity.
• Analysis of a curved beam on uncertain elastic foundation.
• Bending and stability analysis of gradient elastic beams
• An efficient 3D stochastic finite element method
• Introduction to Uncertainty Quantification
• On stochastic finite elements for structural analysis
• A higher order beam finite element for bending and vibration problems
• A second order beam theory
• Probability Theory with Applications
• Random Eigenvalue Problems in Structural Analysis
• Bending solutions of Levinson beams and plates in terms of the classical theories

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