|Title:||A deformation model of thin flexible surfaces|
Yuen, Matthew M. F.
|Citation:||Journal of WSCG. 1998, vol. 6, no. 1-3, p. 440-447.|
|Publisher:||Václav Skala - UNION Agency|
|Keywords:||variační formulace;měkký povrch;diferenciální rovnice pohybu;konečné rozdílné řešení;model deformace|
|Keywords in different language:||variational formulation;flexible surface;differential equation of motion;finite difference solution;deformation model|
|Abstract in different language:||In engineering, it is often needed to determine the deformed shape of thin flexible surfaces, such as fabrics, paper, etc. under the action of applied loads. In this paper, a variational formulation was developed for such cases. It serves as the foundation for developing the numerical solution scheme. Trough the variational formulation, the governing differential equation of motion was derived. The widely used Terzopoulos model is shown to be an approximated solution. The constitutive relationship for thin flexible surfaces was established. Finally the draping effect of a skirt was simulated based on this model. The formulation is suitable for most large deformation problems and is extendable to cover the non-linear materials.|
|Rights:||© Václav Skala - UNION Agency|
|Appears in Collections:||Volume 6, number 1-3 (1998)|
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