Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

New Mass-Spring System Integrating Elasticity Parameters in 2D

Abstract : Besides the finite element method, the mass- spring discrete modeling is widely used in computer gra- phics. This discrete model allows to perform very eas- ily interactive deformations and to handle quite complex interactions with only a few equations. Thus, it is per- fectly adapted to generate visually correct animations. However, a drawback of this simple formulation is the relative difficulty to control efficiently physically realis- tic behaviors. Indeed, none of the existing models has succeeded to deal satisfyingly with this. Moreover, we demonstrate that the mostly cited technique in the liter- ature, proposed by Van Gelder, is far to be exact in most real cases and its interest is limited to some specific non realistic animations. Here, we propose a new general 2D formulation that reconstructs the geometrical model as an assembly of elementary ”bricks”. Each brick (or el- ement) is then transformed into a mass-spring system, in which edges are springs connecting masses placed on the element vertices. The key point of our approach is the determination of the stiffness constant of each spring to reproduce the correct mechanical properties (Young’s modulus, Poisson’s ratio and shear modulus) of the re- constructed object. We validate our methodology with the help of some numerical experimentation of mechan- ics, like stretching, shearing and loading and then we evaluate the accuracy limits of our approach.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

Cited literature [28 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01493734
Contributor : Florence Zara Connect in order to contact the contributor
Submitted on : Wednesday, March 22, 2017 - 7:55:01 AM
Last modification on : Friday, September 10, 2021 - 1:50:16 PM
Long-term archiving on: : Friday, June 23, 2017 - 12:20:15 PM

File

Liris-2683.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01493734, version 1

Citation

Vincent Baudet, Michael Beuve, Fabrice Jaillet, B. Shariat, Florence Zara. New Mass-Spring System Integrating Elasticity Parameters in 2D. 2007. ⟨hal-01493734⟩

Share

Metrics

Les métriques sont temporairement indisponibles