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Finite Element Method: A Practical Course by S. S. Quek, G. R. Liu Book Details
| Book Name | Finite Element Method: A Practical Course |
| Author | S. S. Quek, G. R. Liu |
| Category | Civil Engineering Books, Education Books |
| Book Language | English |
| Pages | 363 |
| ISBN | 0750658665 |
| Country | India |
| Book Size | 11 MB |
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About Finite Element Method: A Practical Course by S. S. Quek, G. R. Liu Book
Finite Element Method: A Practical Course" refers to a course or educational resource that focuses on teaching the principles, techniques, and practical applications of the Finite Element Method (FEM). The Finite Element Method is a numerical approach used in engineering and physics to solve complex problems involving partial differential equations and structural analysis. It's widely employed in various fields, including mechanical, civil, aerospace, and biomedical engineering, as well as in physics and material science. Such a course aims to provide students and professionals with a hands-on understanding of FEM and its real-world applications. Here's an overview of what you might expect from a practical course on the Finite Element Method:
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Introduction to Finite Element Method:
- Overview of FEM and its historical development.
- Comparison with other numerical methods and analytical approaches.
- Explanation of key concepts such as discretization, meshing, and basis functions.
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Mathematical Foundations:
- Basic mathematical concepts and terminology used in FEM.
- Introduction to partial differential equations (PDEs) and their relevance in engineering and physics.
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Discretization Techniques:
- Discretization of continuous problems into a finite number of elements.
- One-dimensional and two-dimensional elements (e.g., bars, beams, triangles, quadrilaterals).
- Transformation of PDEs into a system of algebraic equations.
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Mesh Generation:
- Techniques for generating finite element meshes.
- Quality metrics for evaluating mesh accuracy and convergence.
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Assembly and Solving:
- Assembly of the global stiffness matrix and load vector.
- Techniques for solving the resulting system of linear equations (direct and iterative methods).
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Boundary Conditions:
- Application of boundary conditions and constraints.
- Treatment of essential and natural boundary conditions.
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Post-Processing and Visualization:
- Extracting and interpreting results from the finite element analysis.
- Visualization techniques to represent stress, displacement, and other quantities of interest.
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Practical Applications:
- Real-world examples and case studies illustrating the use of FEM in different engineering disciplines.
- Structural analysis, heat transfer, fluid dynamics, and electromagnetics applications.
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Software Tools and Simulation:
- Introduction to FEM software packages (e.g., ANSYS, Abaqus, COMSOL) and their user interfaces.
- Hands-on exercises and simulations using FEM software.
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Advanced Topics (depending on course level):
- Nonlinear analysis: Material nonlinearity, geometric nonlinearity, contact problems.
- Dynamic analysis: Modal analysis, transient analysis, harmonic analysis.
- Optimization techniques using FEM.
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Practical Projects:
- Assignments or projects where students apply FEM to solve engineering problems.
- Independent analysis and interpretation of results.
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Best Practices and Error Estimation:
- Techniques for assessing the accuracy and reliability of finite element solutions.
- Sources of errors and strategies for improving convergence and accuracy.
A practical course on the Finite Element Method typically emphasizes hands-on experience, including software-based simulations and projects, to help participants develop a strong understanding of FEM concepts and their applications in solving complex engineering problems.
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