Category Archives: Simulation

Modeling COVID-19 vaccination from a statistical perspective

In this post, I propose a statistical model that reproduces the evolution of the ongoing COVID-19 vaccination campaign in specific countries. With this model, users can test the effects of different vaccine production and delivery rates, the segmentation of the population into pro- and anti-vaccines, and the impact of social pressure on non-vaccinated people. We discuss some of the insights that the model is able to provide and some directions for future work that leverage the model capabilities.

MEPLS: statistical models of plastic deformation easier than ever

MEPLS is an open-source object-oriented framework for simulating the plastic deformation of materials based on the combination of stochastic processes and solid mechanics. I’ve developed it over my years of research in the statistical modeling of materials, although it’s still a work in progress. Its goal is to provide modular, efficient, and easy-to-use tools to build simulations for a broad range of physical scenarios. MEPLS abstracts away unnecessary complexity, allowing the user to focus on the physics of the model.

Statistical dynamics of creep: a Monte Carlo model of materials and earthquakes (||)

This a follow-up post to a previous one. As explained there, it is clear that if we overload a structure, it will collapse intermediately. Nonetheless, structures loaded well-bellow their maximum capacity might eventually fracture by damage accumulation. This is especially dangerous in civil structures such as bridges and damns and has also been related to natural catastrophic events such as landslides, cliff collapses, and some earthquakes and volcanic eruptions.
Here, we extend the Monte Carlo model of the previous post to allow it to simulate the approach to fracture.

Statistical dynamics of creep: a Monte Carlo model of materials and earthquakes (|)

It is clear that if we overload a structure, it will collapse intermediately. Nonetheless, structures loaded well-bellow their maximum capacity might eventually fracture by damage accumulation. This is especially dangerous in civil structures such as bridges and damns and has also been related to natural catastrophic events such as landslides, cliff collapses, and some earthquakes and volcanic eruptions. I implemented a stochastic model of plastic deformation based on the Kinetic Monte Carlo method able to shed light o this phenomenon…