Plane Finite Elements for Two-Dimensional Problems

£139.50

Plane Finite Elements for Two-Dimensional Problems

Application of the Computer Algebra System Maxima

Numerical analysis Classical mechanics Mechanical engineering Maths for computer scientists Computer modelling and simulation

Authors: Andreas Ochsner, Resam Makvandi

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Collection: Physics and Astronomy

Language: English

Published by: Springer

Published on: 1st January 2022

Format: LCP-protected ePub

Size: 107 Mb

ISBN: 9783030895501


Introduction

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.

Mechanical Theories

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.

Features and Tools

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 wxMaxima to perform the calculations.

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