Plane Finite Elements for Two-Dimensional Problems

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

Paperback (18 Dec 2022)

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Publisher's Synopsis

This book is intended as a study aid for the finite element method. Based on the free computer algebra system Maxima, we offer routines to symbolically or numerically solve problems from the context of two-dimensional problems. For this rather advanced topic, classical 'hand calculations' are difficult to perform and the incorporation of a computer algebra system is a convenient approach to handle, for example, larger matrix operations. The mechanical theories focus on the classical two-dimensional structural elements, i.e., plane elements, thin or classical plates, and thick or shear deformable plate elements. The use of a computer algebra system and the incorporated functions, e.g., for matrix operations, allows to focus more on the methodology of the finite element method and not on standard procedures. Furthermore, we offer a graphical user interface (GUI) to facilitate the model definition. Thus, the user may enter the required definitions in a source code manner directly in wxMaxima or use the GUI which is able to execute wxMaxime to perform the calculations.

Book information

ISBN: 9783030895525
Publisher: Springer International Publishing
Imprint: Springer
Pub date:
DEWEY: 620.00151535
DEWEY edition: 23
Language: English
Number of pages: 248
Weight: 409g
Height: 235mm
Width: 155mm
Spine width: 14mm