Bücher der Reihe Solid Mechanics and Its Applications

This book presents the theory of plates and shells on the basis of the three-dimensional parent theory. The authors explore the thinness of the structure to represent the mechanics of the actual thin three-dimensional body under consideration by a more tractable two-dimensional theory associated with an interior surface. In this way, the relatively complex three-dimensional continuum mechanics of the thin body is replaced by a far more tractable two-dimensional theory. To ensure that the resulting model is predictive, it is necessary to compensate for this ¿dimension reduction¿ by assigning additional kinematical and dynamical descriptors to the surface whose deformations are modelled by the simpler two-dimensional theory. The authors avoid the various ad hoc assumptions made in the historical development of the subject, most notably the classical Kirchhoff¿Love hypothesis requiring that material lines initially normal to the shell surface remain so after deformation. Instead, suchconditions, when appropriate, are here derived rather than postulated.

This book presents a comprehensive introduction to an advanced beam theory applicable to thin-walled beams of rectangular and arbitrarily-shaped cross-sections. Furthermore, it describes a unique beam-based approach to handling joint structures consisting of thin-walled beams, compiled here for the first time.This higher-order beam theory (HoBT), developed by the authors over the past two decades, uses more than six degrees of freedom (DOFs) in contrast to the classical theories, which use only six DOFs. The additional degrees of freedom describe sectional deformations such as warping and distortion. This book presents a novel systematic procedure to derive the sectional deformations analytically for rectangular cross-sections and numerically for arbitrarily-shaped cross-sections. This book is a must for structural/mechanical engineers who wish to understand and design structures involving thin-walled beams.

This book provides a comprehensive overview of the mechanical distinctions between fretting damage under axial or bending external forces and fretting damage under a torsional load. It emphasizes the importance of studying practical accident cases to efficiently acquire technical skills. The book is structured around the fundamental technologies of material science, tribology, and mechanics, which are vital for understanding and addressing technical issues. The author has incorporated all fretting countermeasure technologies, which were previously often sensory and empirical in nature, and repositioned them as technologies grounded in fundamental principles. The book proposes an economical approach to product operation that maintains reliability by integrating not only design technology but also maintenance practices.It delves into specific materials, such as titanium alloys and aluminum alloys, which have seen increased use for weight reduction in industries like aerospace.In this book, ¿Critical Distance Stress Theory¿ that can easily derive the fatigue limit and fatigue life of the stress singular field at the contact edge was presented. As a result, the fretting fatigue strength and life can be predicted from the same FEM stress analysis as the normal stress concentration part.And finally, introducing a novel fretting mechanical model, the book focuses on scenarios where pressure force (N) and repeated tangential force (F) are applied to two planar objects, with the tangential force being transmitted solely through friction at the contact surface. This model finds relevance in turbine blade connection structures, among other applications. The author references Asai's research example, which encompasses fretting mechanical analysis, fretting wear evaluation, fatigue assessment, and structural damping evaluation using this model.

This book offers a comprehensive and in-depth exploration of the most widely used test methods for characterizing the deformation and failure behavior of materials. It presents a thorough treatise on mechanical testing, providing a valuable resource for researchers, engineers, and students seeking to understand the mechanical properties and performance of materials across various applications. The book is organized into ten chapters dedicated to specific test methods including tensile, compression, bending, torsion, multiaxial, indentation, fracture, fatigue, creep, high strain rates, nondestructive evaluation, ensuring a thorough examination of each technique's principles, procedures, and applications. It features two special chapters focusing specifically on the mechanical characterization of concrete and fiber composite materials. These chapters delve into the unique aspects and challenges associated with testing and analyzing these specific materials.

This book covers thermal stresses in plates and shells, offering a cutting-edge exploration of this critical field. Tailored for a diverse audience, including graduate and postgraduate students, dedicated researchers, and scientists in both industrial and government sectors, as well as engineers specializing in mechanical, aerospace, and civil engineering. The book unfolds over eight meticulously crafted chapters, providing a detailed examination of thermal stresses in rectangular and circular plates, along with an array of shell geometries. Circular cylindrical, spherical, conical, and shells of revolution undergo rigorous analysis under various load conditions. A focal point of the text lies in the exhaustive treatment of tensor analysis within a curvilinear coordinate system. This framework lays the foundation for the derivation of precise strain-displacement relations for an array of shell configurations. The book further elucidates the transformation of Codazzi and Gauss conditions from surface continuity to compatibility conditions within elasticity theory. Chapter 5 introduces analytical solutions for diverse thermal loads affecting cylindrical, spherical, and conical shells. Chapters 6 and 7 delve into the intricate domain of coupled thermoelasticity, particularly in plates and shells subjected to shock loads. The book culminates in Chapter 8, where the intriguing phenomenon of thermal-induced vibrations in plates and shells takes center stage. With a commitment to accessibility, this self-contained volume presents mathematical concepts and numerical methods in an approachable manner, ensuring ease of comprehension for the reader. However, a foundational understanding of classical mathematics, mechanics, and elasticity theory is recommended for optimal engagement.