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Essentials of the Finite Element Method

Autor Dimitrios G. Pavlou
en Limba Engleză Paperback – iul 2026
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.

  • Includes step-by-step instructions for developing finite element equations with detailed analysis procedures
  • Presents Excel exercises with dynamic inputs and static tests, allowing for innumerable exercise possibilities
  • Contains comprehensive coverage of Higher-order beam models in Finite Element Analysis that are often absent in classical textbooks
  • Covers stiffness matrices that are provided for commonly used engineering elements in practice
  • Provides theoretical resources for conducting FE analysis on isotropic and orthotropic materials
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Specificații

ISBN-13: 9780443247408
ISBN-10: 0443247404
Pagini: 550
Dimensiuni: 191 x 235 mm
Ediția:2nd edition
Editura: ELSEVIER SCIENCE

Cuprins

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