A probabilistic model for bounded elasticity tensor random fields with application to polycrystalline microstructures
DOI10.1016/j.cma.2011.01.016zbMath1228.74019OpenAlexW1994400618MaRDI QIDQ653713
Christian Soize, A. Noshadravan, Roger G. Ghanem, Johann Guilleminot
Publication date: 19 December 2011
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://hal-upec-upem.archives-ouvertes.fr/hal-00684305/file/publi-2011-CMAME-200_17-20_1636-1648-guilleminot-noshadravan-soize-ghanem-preprint.pdf
micromechanicsheterogeneous materialsrandom fieldnon-Gaussianapparent elasticity tensormesoscale modeling
Crystalline structure (74E15) Micromechanics of solids (74M25) Random structure in solid mechanics (74E35) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Mathematical Theory of Communication
- A distribution-free approach to inducing rank correlation among input variables
- A stochastic model for elasticity tensors with uncertain material symmetries
- Scaling function, anisotropy and the size of RVE in elastic random polycrystals
- Pattern formation of drops in thermocapillary migration
- Slice sampling. (With discussions and rejoinder)
- Spectral stochastic homogenization of divergence-type PDEs.
- Order relationships for boundary conditions effect in heterogeneous bodies smaller than the representative volume
- Non-Gaussian positive-definite matrix-valued random fields for elliptic stochastic partial differential operators
- Elastic properties of reinforced solids: Some theoretical principles
- Matrix-variate Kummer-Beta distribution
- Modeling of random anisotropic elastic media and impact on wave propagation
- Information Theory and Statistical Mechanics
- On the size of representative volume element for Darcy law in random media
- Generalized probabilistic approach of uncertainties in computational dynamics using random matrices and polynomial chaos decompositions
- A Bounded Random Matrix Approach for Stochastic Upscaling
- A multi-scale spectral stochastic method for homogenization of multi-phase periodic composites with random material properties
- Anisotropic Growth of Voronoi Cells
- Semidefinite Programming
- Microstructural Randomness and Scaling in Mechanics of Materials
- Random heterogeneous materials. Microstructure and macroscopic properties
This page was built for publication: A probabilistic model for bounded elasticity tensor random fields with application to polycrystalline microstructures