Texas A&M University, College Station, Texas
In this lecture, shell finite elements based on seven-parameter and twelve-parameter shell theories for large deformation analysis of composite shell structures are discussed. They are developed using a modified first-order shell theory and third-order thickness stretch kinematics. For laminated composite shells, a user prescribed vector field tangent to the shell mid-surface is introduced to allow for simple construction of the local bases associated with the principal orthotropic material directions of each lamina. In the benchmark problems, it is shown that the developed shell elements are insensitive to all forms of numerical locking and severe geometric distortions and predict very accurate displacement and stress fields.
Dr. J.N. Reddy is a Distinguished Professor, Regents’ Professor, and inaugural holder of the Oscar S. Wyatt Endowed Chair in Mechanical Engineering at Texas A&M University, College Station, Texas. He earned his PhD in Engineering Mechanics in 1974 from University of Alabama in Huntsville. Prof. Reddy iswellknown for his pioneering works on the development of shear deformation theories (that bear his name in the literature as theReddy third-order plate theory and theReddy layerwise theory), which have had a major impact and have led to new research developments and applications.Prof. Reddy has received numerous honors and awards. Most recent ones include: 2019 Timoshenko Medal from the American Society of Mechanical Engineers, 2018 Theodore von Karman Medal from the Engineering Mechanics Institute of the American Society of Civil Engineers, the 2017 John von Neumann Medal from the U.S. Association of Computational Mechanics, the 2016 Prager Medal, Society of Engineering Science, and 2016 ASME Medal from the American Society of Mechanical Engineers. He is a member of US National Academy of Engineering and foreign fellow of Indian National Academy of Engineering, the Canadian Academy of Engineering, and the Brazilian National Academy of Engineering.