All Outputs (5)

A continuum framework for phase field with bulk-surface dynamics (2022)
Journal Article
Espath, L. (2023). A continuum framework for phase field with bulk-surface dynamics. Partial Differential Equations and Applications, 4, Article 1. https://doi.org/10.1007/s42985-022-00218-8

This continuum mechanical theory aims at detailing the underlying rational mechanics of dynamic boundary conditions proposed by Fischer et al. (Phys Rev Lett 79:893, 1997), Goldstein et al. (Phys D Nonlinear Phenom 240:754–766, 2011), and Knopf et al... Read More about A continuum framework for phase field with bulk-surface dynamics.

Small-noise approximation for Bayesian optimal experimental design with nuisance uncertainty (2022)
Journal Article
Bartuska, A., Espath, L., & Tempone, R. (2022). Small-noise approximation for Bayesian optimal experimental design with nuisance uncertainty. Computer Methods in Applied Mechanics and Engineering, 399, Article 115320. https://doi.org/10.1016/j.cma.2022.115320

Calculating the expected information gain in optimal Bayesian experimental design typically relies on nested Monte Carlo sampling. When the model also contains nuisance parameters, which are parameters that contribute to the overall uncertainty of th... Read More about Small-noise approximation for Bayesian optimal experimental design with nuisance uncertainty.

Localized folding of thick layers (2022)
Journal Article
Behnoudfar, P., Hobbs, B. E., Ord, A., Espath, L., & Calo, V. M. (2022). Localized folding of thick layers. Journal of Structural Geology, 161, Article 104669. https://doi.org/10.1016/j.jsg.2022.104669

We describe the localized folding of thick layers embedded in a viscoelastic framework. Higher-order partial differential equations such as the Swift-Hohenberg equation are standard for modelling the folding process. Using a high-order shear theory,... Read More about Localized folding of thick layers.

Direct numerical simulations of intrusive density- and particle-driven gravity currents (2022)
Journal Article
Francisco, E. P., Espath, L. F., Laizet, S., Silvestrini, J. H., & Calo, V. M. (2022). Direct numerical simulations of intrusive density- and particle-driven gravity currents. Physics of Fluids, 34(4), Article 045116. https://doi.org/10.1063/5.0087595

In the present study, mesopycnal flows are investigated using direct numerical simulations. In particular, intrusive density- and particle-driven gravity currents in the lock exchange setup are simulated with the high-order finite-difference framewor... Read More about Direct numerical simulations of intrusive density- and particle-driven gravity currents.

A spatio-temporal adaptive phase-field fracture method (2022)
Journal Article
Labanda, N. A., Espath, L., & Calo, V. M. (2022). A spatio-temporal adaptive phase-field fracture method. Computer Methods in Applied Mechanics and Engineering, 392, Article 114675. https://doi.org/10.1016/j.cma.2022.114675

We present an energy-preserving mechanic formulation for dynamic quasi-brittle fracture in an Eulerian–Lagrangian formulation, where a second-order phase-field equation controls the damage evolution. The numerical formulation adapts in space and time... Read More about A spatio-temporal adaptive phase-field fracture method.