Theory and Analysis of Elastic Plates and Shells

Theory and Analysis of Elastic Plates and Shells

2007 | J. N. Reddy
The book "Theory and Analysis of Elastic Plates and Shells" by J. N. Reddy, in its second edition, provides a comprehensive and up-to-date treatment of classical and shear deformation plate and shell theories, along with their solutions using analytical and numerical methods. The content is divided into several chapters, each focusing on different aspects of plate and shell mechanics. - **Chapters 1-2** introduce vectors, tensors, and the equations of elasticity, laying the mathematical foundation for the study of plates and shells. - **Chapter 3** discusses the classical plate theory (CPT), including kinematics, compatibility equations, stress measures, and the equations of motion. - **Chapter 4** covers the analysis of plate strips, focusing on bending, buckling, and free vibration under various boundary conditions. - **Chapter 5** delves into the analysis of circular plates, including axisymmetric bending, buckling, and natural vibration. - **Chapter 6** is dedicated to the bending of rectangular plates with all edges simply supported, presenting Navier and Rayleigh-Ritz solutions. - **Chapter 7** extends the analysis to rectangular plates with general boundary conditions, using Lévy solutions. - **Chapter 8** discusses the general buckling of rectangular plates under various boundary conditions. - **Chapter 9** addresses the dynamic analysis of rectangular plates, including natural vibration and transient response. - **Chapter 10** introduces first-order and third-order shear deformation plate theories, providing analytical solutions for rectangular plates. - **Chapter 11** focuses on the linear finite element analysis of beams and plates, including both classical and first-order shear deformation theories. - **Chapter 12** is a new addition, covering nonlinear finite element analysis of plates, including the Newton-Raphson iterative method and tangent stiffness coefficients. The book is suitable as a textbook for courses on the theory and analysis of plates and shells in aerospace, civil, mechanical, and mechanical engineering curricula. It can also serve as a reference for structural engineers and scientists working in industry and academia. The author, J. N. Reddy, is a distinguished professor at Texas A&M University, known for his contributions to theoretical and applied mechanics and computational mechanics.The book "Theory and Analysis of Elastic Plates and Shells" by J. N. Reddy, in its second edition, provides a comprehensive and up-to-date treatment of classical and shear deformation plate and shell theories, along with their solutions using analytical and numerical methods. The content is divided into several chapters, each focusing on different aspects of plate and shell mechanics. - **Chapters 1-2** introduce vectors, tensors, and the equations of elasticity, laying the mathematical foundation for the study of plates and shells. - **Chapter 3** discusses the classical plate theory (CPT), including kinematics, compatibility equations, stress measures, and the equations of motion. - **Chapter 4** covers the analysis of plate strips, focusing on bending, buckling, and free vibration under various boundary conditions. - **Chapter 5** delves into the analysis of circular plates, including axisymmetric bending, buckling, and natural vibration. - **Chapter 6** is dedicated to the bending of rectangular plates with all edges simply supported, presenting Navier and Rayleigh-Ritz solutions. - **Chapter 7** extends the analysis to rectangular plates with general boundary conditions, using Lévy solutions. - **Chapter 8** discusses the general buckling of rectangular plates under various boundary conditions. - **Chapter 9** addresses the dynamic analysis of rectangular plates, including natural vibration and transient response. - **Chapter 10** introduces first-order and third-order shear deformation plate theories, providing analytical solutions for rectangular plates. - **Chapter 11** focuses on the linear finite element analysis of beams and plates, including both classical and first-order shear deformation theories. - **Chapter 12** is a new addition, covering nonlinear finite element analysis of plates, including the Newton-Raphson iterative method and tangent stiffness coefficients. The book is suitable as a textbook for courses on the theory and analysis of plates and shells in aerospace, civil, mechanical, and mechanical engineering curricula. It can also serve as a reference for structural engineers and scientists working in industry and academia. The author, J. N. Reddy, is a distinguished professor at Texas A&M University, known for his contributions to theoretical and applied mechanics and computational mechanics.
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