Computational Methods in Engineering: Finite Difference, Finite Volume, Finite Element, and Dual Mesh Control Domain Methods [Hardcover]

1. Introduction and Preliminaries2. The Finite Difference Method3. The Finite Volume Method4. The Finite Element Method5. The Dual Mesh Control Domain Method6. Nonlinear Problems with a Single Unknown7. Bending of Straight Beams8. Bending of Axisymmetric Circular Plates9. Plane Elasticity and Viscous Incompressible Flows10. Bending of Flat Plates

J. N. Reddy, the ODonnell Foundation Chair IV Professor in J. Mike Walker 66 Department of Mechanical Engineering at Texas A&M University, is a highly-cited researcher, author of 25 textbooks and over 800 journal papers, and a leader in the applied mechanics field for more than 50 years. He is well-known worldwide for his significant contributions to the field of applied and computational mechanics through the authorship of widely used textbooks on mechanics of materials, continuum mechanics, linear and nonlinear finite element analyses, variational methods, numerical methods, and composite materials and structures. His pioneering works on the development of shear deformation theories of beams, plates, and shells (that bear his name in the literature as the Reddy third-order plate theory and the Reddy layerwise theory), nonlocal and non-classical continuum mechanics have had a major impact, and have led to new research developments and applications. Some of his ideas on shear deformation theories and penalty finite element models of fluid flows have been implemented into commercial finite element software like Abaqus, NISA, and HyperXtrude (Altair).

Recent honors and awards include: 2023 Leonardo da Vinci Award from the European Academy of Sciences, 2023 Michael P. Pa?1doussis Medal from the Royal Society of Canada, 2022 IACM Congress (Gauss-Newton) Medal from the International Association of Computational Mechanics, 2019 Timoshenko Medal from the American Society of Mechanical Engineers, 2018 Theodore von K?arm?an Medal from the American Society of Civil Engineers, 2017 John von Neumann lS9