Applied Mechanics

Of Theoretical and Applied Mechanics

Lagrangian statistical mechanics applied to non-linear stochastic field equations

Non-linear field equations such as the KPZ equation for deposition and the Navier-Stokes equation for hydrodynamics are discussed by the derivation of transport equations for the correlation function of the field h (r, t), i.e. 〈h (r, t)h (r′, t ′)〉, where h satisfies a diffusion equation driven by a noise, f , defined as noise with a given spectrum, and containing a non linear term, Mhh, which...

Geometric Mechanics Applied to Tetrapod Locomotion on Granular Media

This study probes the underlying locomotion principles of earliest organisms that could both swim and walk. We hypothesize that properly coordinated leg and body movements could have provided a substantial benefit toward locomotion on complex media, such as early crawling on sand. In this extended abstract, we summarize some of our recent advances in integrating biology, physics and robotics to...

Liquid drops and surface tension with smoothed particle applied mechanics

Smoothed particle applied mechanics (SPAM), also referred to as smoothed particle hydrodynamics, is a Lagrangian particle method for the simulation of continuous flows. Here we apply it to the formation of a liquid drop, surrounded by its vapor, for a van der Waals (vdW) fluid in two dimensions. The cohesive pressure of the vdW equation of state gives rise to an attractive, central force betwee...

3d Deformation Measurement Using Stereo- Correlation Applied to Experimental Mechanics

Optical methods that give displacement or strain fields are now emerging significantly in the mechanical sciences. In the Material Research laboratory at École des Mines d'Albi, we have developed a binocular stereovision system that can be used a) to measure the 3D shape of a static object or b) to measure the deformations of an object undergoing some 3D mechanical or thermal stress. In this pa...