Wow! eBook
An Introduction to the Finite Element Method with the Variational Approach (Advanced Topics in Biomaterials)
Author(s): Prakash Mahadeo Dixit (Author), Sachin Singh Gautam (Author)
- Publisher: Academic Press
- Publication Date: June 11, 2026
- Edition: 1st
- Language: English
- Print length: 1068 pages
- ISBN-10: 0443333890
- ISBN-13: 9780443333897
Book Description
Expanding into 2-D problems, the book offers derivations of 2-D FEM equations tailored to diverse engineering disciplines, including Steady-State Heat Conduction, Solid Mechanics (covering torsion, plane strain/axisymmetric cases, and the bending, stability, and vibrations of thin plates), as well as Fluid Mechanics (addressing incompressible inviscid and viscous fluids). It includes detailed discussions on element continuity, numerical integration techniques, and even includes 2-D codes for selected problems. The book concludes by delving into recent advancements in FEM, with a specific focus on applications in machine learning and isogeometric analysis.
- Explains the fundamentals of the Finite Element Method (FEM) with a focus on linear and time-independent aspects, employing a variational approach
- Covers variational FEM formulations for 1-D and 2-D scenarios in solid mechanics, fluid mechanics, and heat conduction problems
- Explores the application of 1-D Galerkin FEM to address challenges presented by material nonlinearity and time-dependent problems
- Delves into the intricacies of FEM algorithms and provides a comprehensive overview of coding implementation
- Offers insights into Machine Learning and includes a section on Isogeometric analysis
Editorial Reviews
About the Author
Prof. Prakash Mahadeo Dixit earned a BTech in Aeronautical Engineering from the Indian Institute of Technology Kharagpur in 1974 and a PhD in Mechanics from the University of Minnesota, USA, in 1979. His teaching journey began as a Lecturer in Aerospace Engineering at IIT Kharagpur in 1980 and ended as a Professor in Mechanical Engineering at IIT Kanpur in 2018. His research work is in the areas of metal forming processes, ductile fracture and damage mechanics, contact-impact problems and dynamic, large deformation, damage-coupled, thermo-elasto-plastic, contact finite element formulation.
Dr. Sachin Singh Gautam is an Associate Professor in Mechanical Engineering at the Indian Institute of Technology Guwahati, specializing in computational mechanics. He completed his Ph.D. from IIT Kanpur in 2010 and worked as a post-doctoral fellow in AICES, RWTH Aachen University, Germany till 2013 before joining his current position. His research encompasses isogeometric analysis, contact-impact problems, GPU computing, and machine learning’s application in finite elements.
