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Essentials of the Finite Element Method. Edition No. 2

  • Book

  • July 2026
  • Elsevier Science and Technology
  • ID: 6251180
Essentials of the Finite Element, Second Edition aims to simplify search by offering a comprehensive yet concise resource suitable for newcomers to FEM or those in need of a refresher. This edition begins by explaining the basics of FEM and gradually introduces advanced topics, while also illustrating the practical applications of the theory in engineering. The book covers various specific subjects, including linear spring elements, bar elements, trusses, beams and frames, plates, heat transfer, structural dynamics, and buckling. Throughout the text, readers are provided with step-by-step detailed analyses for the development of finite element equations.

Moreover, the book demonstrates the programming aspect of FEM, offering examples in MATLAB, EXCEL, CALFEM, and ANSYS. This allows readers to gain insights into developing their own computer code. Designed for a wide range of readers, from first-time BSc/MSc students to experienced researchers and practicing mechanical/structural engineers, the book serves as a comprehensive reference text suitable for modern engineers.

Table of Contents

1. An overview of the finite element method
2. Mathematical background
3. Bar, spring, hydraulic elements, and corresponding networks
4. Euler-bernoulli, ehrenfest-timoshenko and reddy beam models
5. Frames
6. Kirchhoff, mindlin and reddy plate models
7. The principle of minimum potential energy
8. From “isotropic” to “orthotropic” plane elements: elasticity equations for two-dimensional solids
9. The principle of minimum potential energy for two-dimensional and three-dimensional elements
10. Structural dynamics and elastic stability
11. Heat transfer

Authors

Dimitrios G. Pavlou Professor, University of Stavanger, Stavanger, Norway. Dimitrios Pavlou is Professor of Mechanics at University of Stavanger in Norway, and Elected Academician of the Norwegian Academy of Technological Sciences. He has had over twenty-five years of teaching and research experience in the fields of Theoretical and Applied Mechanics, Fracture Mechanics, Finite and Boundary Elements, Structural Dynamics, Anisotropic Materials, and their applications in Engineering Structures.

Professor Pavlou is the author of titles, "Essentials of the Finite Element Method" (Elsevier) and "Composite Materials in Piping Applications" (Destech Publications), and guest co-editor of several international journal Special Issues and conference proceedings.

His research portfolio includes over 120 publications in the areas of Applied Mechanics and Engineering Mathematics (majority as single or first author). Since January 2020, Professor Pavlou joined the Editorial Board of the journal "Computer-Aided Civil and Infrastructure Engineering" (IF=11.775, 1st of 134 journals in Civil Engineering - 2020 Journal Citation Reports).

He works as Editor for the journals "Maritime Engineering� (IF=5.952); "Nondestructive Testing and Evaluation� (IF=2.098); "Advances in Civil Engineering� (IF= 1.843); "Aerospace Technology and Management� (IF= 0.713);
"Dynamics�; "Aeronautics and Aerospace Open Access Journal� and "Journal of Materials Science and Research�.

He is also an Editorial Board Member for the "International Journal of Structural Integrity,� the "International Journal of Ocean Systems Management� and "Journal of Materials Science and Research�.