Scaling, dimensional analysis, and indentation measurements

Dimensional analysis and scaling laws

Indentation measurements on thin films

Thin films have an important part to play in modern technology. It is difficult to characterize the mechanical properties of thin films because the films cannot usually be investigated separately from the substrate. One of the few methods that can be used for such investigations consists in making an indentation in the film by applying an extremely small and accurately controlled force while at...

Upscaling river biomass using dimensional analysis and hydrogeomorphic scaling

[1] We propose a methodology for upscaling biomass in a river using a combination of dimensional analysis and hydro-geomorphologic scaling laws. We first demonstrate the use of dimensional analysis for determining local scaling relationships between Nostoc biomass and hydrologic and geomorphic variables. We then combine these relationships with hydraulic geometry and streamflow scaling in order...

Scaling Laws from Statistical Data and Dimensional Analysis

Scaling laws provide a simple yet meaningful representation of the dominant factors of complex engineering systems, and thus are well suited to guide engineering design. Current methods to obtain useful models of complex engineering systems are typically ad-hoc, tedious, and time consuming. Here we present an algorithm that obtains a scaling law in the form of a power law from experimental data...

Material Flow Analysis in Indentation by Two-Dimensional Digital Image Correlation and Finite Elements Method

The present work shows the material flow analysis in indentation by the numerical two dimensional Finite Elements (FEM) method and the experimental two-dimensional Digital Image Correlation (DIC) method. To achieve deep indentation without cracking, a ductile material, 99% tin, is used. The results obtained from the DIC technique depend predominantly on the pattern conferred to the samples. Due...