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