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A Hierarchical Multilevel Markov Chain Monte Carlo Algorithm with Applications to Uncertainty Quantification in Subsurface Flow
TLDR
In this paper we address the problem of the prohibitively large computational cost of existing Markov chain Monte Carlo methods for large-scale applications with high-dimensional parameter spaces, e.g., in uncertainty quantification in porous media flow. Expand
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Out-of-plane ply wrinkling defects during consolidation over an external radius
If carbon fibre layers are prevented from slipping over one another as they consolidate onto a non-trivial geometry, they can be particularly susceptible to wrinkling/buckling instabilities. A oneExpand
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Characterisation of inter-ply shear in uncured carbon fibre prepreg
Understanding the inter-ply shear behaviour of uncured carbon fibre prepreg is fundamental to avoiding process-induced defects during manufacturing of large-scale components. Shear tests for AS4/8552Expand
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Internal wrinkling instabilities in layered media
The large deformation Cosserat continuum model presented shows the potential of capturing internal buckling instabilities within layered media at a fraction of the computational cost when comparedExpand
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Multilevel Markov Chain Monte Carlo
TLDR
In this paper we address the problem of the prohibitively large computational cost of existing Markov chain Monte Carlo methods for large-scale applications with high-dimensional parameter spaces, ... Expand
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On the nucleation and growth of kink and shear bands
Similarities and differences between the phenomena of kink banding in compressed layered structures and shear banding in compressed granular media are explored. Simple models are introduced for both,Expand
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Anti-symmetric laminates for improved consolidation and reduced warp of tapered C-sections
Abstract This paper challenges the conventional use of symmetric stacking sequences by proposing fully uncoupled anti-symmetric laminates that simultaneously improve consolidation and reduce warp ofExpand
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Multilayered folding with constraints
In the deformation of layered materials such as geological strata, or stacks of paper, mechanical properties compete with the geometry of layering. Smooth, rounded corners lead to voids betweenExpand
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Self-Similar Voiding Solutions of a Single Layered Model of Folding Rocks
TLDR
In this paper we derive an obstacle problem with a free boundary to describe the formation of voids at areas of intense geological folding. Expand
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