Title:

Description and visualization of large deformations of continuum with Mathematica

Title in Polish:

Opis i wizualizacja dużych deformacji ośrodka ciągłego z Mathematica

Creator:

Walentyński, Ryszard

Abstract:

One of the most difficult problems in undestanding mechanics of large deformation of the continuum are ability of students and engineers (also those with professor titles) to deal with continuum as a curved space due to large deformations. There are many misunderstanding in many books on Continuum Mechanics connected with disability with dealing with curvilinear systems of coordinates. The most useful educational method of explaining problems for engineers is 3D animated graphics. Mathematica with its tools of dealing with vectors, tensors and interactive visualization makes it possible to override this perception problem. Application of Manipulate function and graphical facilities of Mathematica makes it possible to understand many aspects of deformation description like differences between Gausian and Lagrangian coordinates, reference and actual configuration. Description and visualization of large deformations of continuum with Mathematica.

Keywords:

tensor analysis ; continuum mechanics ; large deformation

Date:

2015

Comment:

The contribution is also avaliable on: https://www.researchgate.net/publication/271206471_Description_and_visualization_of_large_deformations_of_continuum_with_Mathematica

Format:

application/pdf

Licence:

CC-BY 3.0