THE FINITE ELEMENT METHOD IN ENGINEERING

The book "Finite Element Method in Engineering" delivers a lucid and comprehensible exploration of the fundamentals and applications of the finite element method. It is organized into two distinct sections: the foundational principles and practical applications. The fundamentals section elucidates the general procedure of the finite element method, providing in-depth explanations of the direct approach, variational approach, and the method of weighted residuals. It delves into the concepts of element interpolation functions for one-, two-, and three-dimensional elements. The derivation of finite element equations and their corresponding element matrices is presented through easily understandable examples for solving basic problems. To bolster comprehension, the book includes finite element programs implemented in various computer languages, such as MATLAB and Mathematica. In the second part, the book explores applications of the finite element method for analyzing structural, heat transfer, and fluid flow problems. Abundant examples showcase the method's utility and capabilities. Moreover, readers are introduced to the practical application of the FEATool Multiphysics software, offering a hands-on approach to addressing both fundamental and real-world problems. Features: - This text book is ideal for undergraduate and graduate students in mechanical, aeronautical, civil and chemical engineering as well as practicing engineers - Presentation is in an easy-to-understand style by using simple words and equations with a large number of figures - Materials are clear and well-organized in an easy-to-follow with logical progression through mathematics and the finite element method - Numerous examples with diverse applications to static and dynamic structures, linear and nonlinear hear transfer, and various classes of fluid flows - Lots of exercises to enhance understanding at the end of each chapter