Stochastic Pore Collapse Models in Granular Materials

Stochastic models for pore collapse in granular materials are developed. First, a general fluctuating stress-strain relation for a plastic flow rule is derived. The fluctuations account for non-associativity in plastic deformations typically observed in heterogeneous materials. Second, an axisymmetr...

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Bibliographic Details
Published in:arXiv.org 2020-02
Main Authors: Bakarji, Joseph, Tartakovsky, Daniel M
Format: Article
Language:English
Subjects:
Associativity
Constitutive equations
Constitutive relationships
Differential equations
Granular materials
Plastic flow
Spherical shells
Stochastic models
Strain
Stress-strain relationships
Variations
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Summary:Stochastic models for pore collapse in granular materials are developed. First, a general fluctuating stress-strain relation for a plastic flow rule is derived. The fluctuations account for non-associativity in plastic deformations typically observed in heterogeneous materials. Second, an axisymmetric spherical shell compaction model is extended to account for fluctuations in the material microstructure due to granular interactions at the pore scale. This changes the stress-strain constitutive equation determining the dynamics of pore collapse. Results show that stochastic differential equations can account for multiscale interactions in a statistical sense.
ISSN:2331-8422