Plane Finite Elements for Two-Dimensional Problems: Application of the Computer Algebra System Maxima

This book provides a study aid for the finite element method using the Maxima computer algebra system. It offers routines to solve two-dimensional problems symbolically or numerically, focusing on classical structural elements. The use of a computer algebra system allows for easier handling of larger matrix operations and facilitates the methodology of the finite element method with a graphical user interface.

Format: Paperback / softback
Length: 248 pages
Publication date: 18 December 2022
Publisher: Springer Nature Switzerland AG

This book serves as a valuable study aid for the finite element method (FEM). Built upon the powerful free computer algebra system Maxima, it provides routines to symbolically or numerically solve problems within the realm of two-dimensional problems. Due to the complexity of this advanced topic, traditional 'hand calculations' become challenging, making the integration of a computer algebra system a convenient approach for handling tasks such as performing larger matrix operations. The mechanical theories primarily revolve around classical two-dimensional structural elements, encompassing plane elements, thin or classical plates, and thick or shear deformable plate elements. By leveraging the capabilities of a computer algebra system and its integrated functions, such as matrix operations, the focus shifts towards the methodology of the FEM rather than being bogged down by standard procedures. Furthermore, we offer a user-friendly graphical user interface (GUI) to streamline the model definition process. This allows users to input the necessary definitions in a source code-like manner directly within wxMaxima or utilize the GUI, which is capable of executing wxMaxima to perform the calculations.

Weight: 409g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030895525
Edition number: 1st ed. 2021