Application of the two-dimensional Cartesian Finite-Volume Theory in problems of solid mechanics

Resumo

This paper presents the development of a Python software with a simple and intuitive graphical interface
that allows for the computational modeling of solid mechanics problems (simple beams) using Two-Dimensional
Cartesian Finite-Volume Theory (FVT). The numerical approach based on FVT has gained prominence in the
computational modeling of structures due to its mathematically simple formulation compared to other classical
methods, as well as its low computational cost. Therefore, the main objective is to demonstrate the importance
of FVT in the education of engineering undergraduates, highlighting the advantages of its use as a substitute for

traditional methods that have long been used in solid mechanics, such as the Finite Element Method (FEM). Ad-
ditionally, it is important to emphasize the power of Python programming and its practical applications in the

daily life of an engineer. Lastly, the aim is to encourage the inclusion of Finite-Volume Theory as a mandatory

subject in engineering curricula, facilitating the understanding and development of simulation programs and struc-
tural analysis, enabling comparison with other numerical methods and analytical solutions of material strength.

This provides a differentiated education for undergraduate students in the areas of computational modeling and
structural mechanics to cope with an increasingly competitive job market.