This book commemorates the 75th birthday of Prof. George Jaiani – Georgia’s leading expert on shell theory. He is also well known outside Georgia for his individual approach to shell theory research and as an organizer of meetings, conferences and schools in the field. The collection of papers presented includes articles by scientists from various countries discussing the state of the art and new trends in the theory of shells, plates, and beams. Chapter 20 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

This book contains eight chapters treating the stability of all major areas of the flexural theory. It covers the stability of structures under mechanical and thermal loads and all areas of structural, loading and material types. The structural element may be assumed to be made of a homogeneous/isotropic material, or of a functionally graded material. Structures may experience the bifurcation phenomenon, or they may follow the postbuckling path. This volume explains all these aspects in detail. The book is self-contained and the necessary mathematical concepts and numerical methods are presented in such a way that the reader may easily follow the topics based on these basic tools. It is intended for people working or interested in areas of structural stability under mechanical and/or thermal loads. Some basic knowledge in classical mechanics and theory of elasticity is required.

Noted for its practical, student-friendly approach to graduate-level mechanics, this volume is considered one of the top references—for students or professioals—on the subject of elasticity and stress in construction. The author presents many examples and applications to review and support several foundational concepts. The more advanced concepts in elasticity and stress are analyzed and introduced gradually, accompanied by even more examples and engineering applications in addition to numerous illustrations.Chapter problems are carefully arranged from the basic to the more challenging. The author covers computer methods, including FEA and computational/equation-solving software, and, in many cases, classical and numerical/computer approaches.

Thermal Stress Analysis of Composite Beams, Plates and Shells: Computational Modelling and Applications presents classic and advanced thermal stress topics in a cutting-edge review of this critical area, tackling subjects that have little coverage in existing resources. It includes discussions of complex problems, such as multi-layered cases using modern advanced computational and vibrational methods. Authors Carrera and Fazzolari begin with a review of the fundamentals of thermoelasticity and thermal stress analysis relating to advanced structures and the basic mechanics of beams, plates, and shells, making the book a self-contained reference. More challenging topics are then addressed, including anisotropic thermal stress structures, static and dynamic responses of coupled and uncoupled thermoelastic problems, thermal buckling, and post-buckling behavior of thermally loaded structures, and thermal effects on panel flutter phenomena, amongst others. - Provides an overview of critical thermal stress theory and its relation to beams, plates, and shells, from classical concepts to the latest advanced theories - Appeals to those studying thermoelasticity, thermoelastics, stress analysis, multilayered structures, computational methods, buckling, static response, and dynamic response - Includes the authors' unified formulation (UF) theory, along with cutting-edge topics that receive little coverage in other references - Covers metallic and composite structures, including a complete analysis and sample problems of layered structures, considering both mesh and meshless methods - Presents a valuable resource for those working on thermal stress problems in mechanical, civil, and aerospace engineering settings

This book is intended primarily as a teaching text, as well as a reference for individual study in the behavior of thin walled structural components. Such structures are widely used in the engineering profession for spacecraft, missiles, aircraft, land-based vehicles, ground structures, ocean craft, underwater vessels and structures, pressure vessels, piping, chemical processing equipment, modern housing, etc. It presupposes that the reader has already completed one basic course in the mechanics or strength of materials. It can be used for both undergraduate and graduate courses. Since beams (columns, rods), plates and shells comprise components of so many of these modern structures, it is necessary for engineers to have a working knowledge of their behavior when these structures are subjected to static, dynamic (vibration and shock) and environmental loads. Since this text is intended for both teaching and self-study, it stresses fundamental behavior and techniques of solution. It is not an encyclopedia of all research or design data, but provides the reader the wherewithal to read and study the voluminous literature. Chapter 1 introduces the three-dimensional equations oflinear elasticity, deriving them to the extent necessary to treat the following material. Chapter 2 presents, in a concise way, the basic assumptions and derives the governing equations for classical Bernoulli-Euler beams and plates in a manner that is clearly understood.

Because plates and shells are common structural elements in aerospace, automotive, and civil engineering structures, engineers must understand the behavior of such structures through the study of theory and analysis. Compiling this information into a single volume, Theory and Analysis of Elastic Plates and Shells, Second Edition presents a complete

This accessible text provides comprehensive coverage of both plates and shells, and a unique blend of modern analytical and computer-oriented numerical methods in presenting stress analysis in a realistic setting. It is distinguished by its broad range of exceptional visual interpretations of the solutions, applications, and means by which loads are resisted in beams, plates, and shells. Combining the current-numerical, mechanics of materials, and theory of elasticity methods of analysis, Stresses in Plates and Shells, Second Edition, offers an in-depth and complete coverage of the subject for students and practicing engineers.

The study ofthree-dimensional continua has been a traditional part of graduate education in solid mechanics for some time. With rational simplifications to the three-dimensional theory of elasticity, the engineering theories of medium-thin plates and of thin shells may be derived and applied to a large class of engi neering structures distinguished by a characteristically small dimension in one direction. Often, these theories are developed somewhat independently due to their distinctive geometrical and load-resistance characteristics. On the other hand, the two systems share a common basis and might be unified under the classification of Surface Structures after the German term Fliichentragwerke. This common basis is fully exploited in this book. A substantial portion of many traditional approaches to this subject has been devoted to constructing classical and approximate solutions to the governing equations of the system in order to proceed with applications. Within the context of analytical, as opposed to numerical, approaches, the limited general ity of many such solutions has been a formidable obstacle to applications involving complex geometry, material properties, and/or loading. It is now relatively routine to obtain computer-based solutions to quite complicated situations. However, the choice of the proper problem to solve through the selection of the mathematical model remains a human rather than a machine task and requires a basis in the theory of the subject.

Noted for its practical, accessible approach to senior and graduate-level engineering mechanics, Plates and Shells: Theory and Analysis is a long-time bestselling text on the subjects of elasticity and stress analysis. Many new examples and applications are included to review and support key foundational concepts. Advanced methods are discussed and analyzed, accompanied by illustrations. Problems are carefully arranged from the basic to the more challenging level. Computer/numerical approaches (Finite Difference, Finite Element, MATLAB) are introduced, and MATLAB code for selected illustrative problems and a case study is included.