Introduction to the Finite Element Method, Fifth Edition by J N. Reddy, 5th Edition

An essential introduction to the principles and applications of the finite element method  

Now thoroughly revised, this landmark engineering textbook remains the go-to resource for understanding the finite element method from the ground up. Written by a world-renowned expert in mechanical engineering, the book presents a rigorous yet accessible foundation in linear FEM, guiding you through both the theory and the practical steps of building and applying finite element models of a variety of engineering problems.

Introduction to the Finite Element Method, Fifth Edition, features detailed problem-solving by FEM with fully worked-out solutions to reinforce your understanding. Special focus is given to key application areas including bioengineering, fluid and thermal sciences, structural mechanics, and beyond. This updated edition includes reorganized chapters with clearer explanations, new examples and problem sets, and modernized code and methodologies aligned with today's industry practices.

Introduction to the Finite Element Method, Fifth Edition, covers: 

• Mathematical and engineering preliminaries
• Energy principles and variational methods
• Finite element analysis of 1-D discrete systems
• Finite element analysis of 1-D continuous systems
• Finite element analysis of beams and circular plates
• Plane trusses and frames
• Eigenvalue and time-dependent problems in 1D
• Numerical integration and computer implementation
• Single-variable problems in two dimensions (including time-dependent problems)
• 2-D interpolation functions, numerical integration, and computer implementation
• Plane elasticity (including time-dependent analysis)
• Bending of plates (using the first-order shear deformation theory)
• Flows of viscous incompressible fluids (penalty finite element model)
• 3-D finite element analysis (a prelude to advanced FEA)