Publication

Meta-concrete by means of discrete element method

2019
Student Projects

Abstract

The basis of the discrete element method is to model masses interacting with each other through different forces and constraints. On each mass, the second law of Newton is applied to obtain a differential equation. From this equation and boundary conditions, a numerical integrator is used to find the trajectories of the different masses. In engineering, this method is mainly used to model discrete media, from the atomic scale with molecular dynamics to larger scale with sand or even astronomical scale with astral movements. In the last section of this project, DEM will be used to model heterogeneous continuous media: meta concrete.

Official source

https://infoscience.epfl.ch/entities/publication/30ba9940-4464-4895-8233-0714d8553edd

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2019
Student Projects

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/30ba9940-4464-4895-8233-0714d8553edd

About this result

Related concepts (32)

Differential equation

In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two. Such relations are common; therefore, differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology.

Numerical integration

In analysis, numerical integration comprises a broad family of algorithms for calculating the numerical value of a definite integral, and by extension, the term is also sometimes used to describe the numerical solution of differential equations. This article focuses on calculation of definite integrals. The term numerical quadrature (often abbreviated to quadrature) is more or less a synonym for numerical integration, especially as applied to one-dimensional integrals.

Numerical methods for ordinary differential equations

Numerical methods for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations (ODEs). Their use is also known as "numerical integration", although this term can also refer to the computation of integrals. Many differential equations cannot be solved exactly. For practical purposes, however – such as in engineering – a numeric approximation to the solution is often sufficient. The algorithms studied here can be used to compute such an approximation.

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Meta-concrete by means of discrete element method

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