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The book shows how the formidable developments that blossomed in the twentieth century (and perused in a previous book of the author in the same Springer Series: "Continuum Mechanics through the Twentieth Century", Springer 2013) found rich compost in the constructive foundational achievements of the eighteenth and nineteenth centuries.

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.

This book describes the solution of contact problems with an emphasis on idealized (mainly linear) elastic problems that can be treated with elementary analytical methods. The target readership for the book includes researchers who encounter contact problems but whose primary focus is not contact mechanics.

This book analyzes severalcompliant contact force models within the context of multibody dynamics, whilealso revisiting the main issues associated with fundamental contact mechanics.

This is an intermediate book for beginning postgraduate students and junior researchers, and offers up-to-date content on both continuum mechanics and elasticity. The material is self-contained and should provide readers sufficient working knowledge in both areas. Though the focus is primarily on vector and tensor calculus (the so-called coordinate-free approach), the more traditional index notation is used whenever it is deemed more sensible.With the increasing demand for continuum modeling in such diverse areas as mathematical biology and geology, it is imperative to have various approaches to continuum mechanics and elasticity. This book presents these subjects from an applied mathematics perspective. In particular, it extensively uses linear algebra and vector calculus to develop the fundamentals of both subjects in a way that requires minimal use of coordinates (so that beginning graduate students and junior researchers come to appreciate the power of the tensor notation).

Continuous and Distributed Systems

Composite structures and products have developed tremendously since the publication of the first edition of this work in 1986.

Volume II of this work examines fracture mechanics and damage, contact mechanics, friction and wear, linking active mechanisms on the microscopic scale with the laws of macroscopic behaviour. Includes numerous explanatory diagrams and illustrations.

This book covers all basic areas of mechanical engineering, such as fluid mechanics, heat conduction, beams and elasticity with detailed derivations for the mass, stiffness and force matrices.

This book deals with the dynamics of discrete and continuous mechanical systems; seismic excitation; random vibration (including fatigue); rotor dynamics; vibration isolation and dynamic vibration absorbers; the last chapter introduces active vibration control.

Now in this third updated and expanded edition, this text offers an introduction to the dynamics of active structures and to the feedback control of lightly damped flexible structures, with the emphasis on basic issues and simple control strategies that work.

This book presents, in the simplest possible manner, those branches of error analysis which find direct applications in solving various problems in engineering.

This book is the first to deal with the important topic of the fire behaviour of fibre reinforced polymer composite materials. Also covered are fire protection materials for composites, fire properties of nanocomposites, fire safety regulations and standards, fire test methods, and health hazards from burning composites.

This book describes an effective method for modeling advanced materials like polymers, composite materials and biomaterials, which are, as a rule, inhomogeneous.

This book examines low and high frequency mechanical, acoustic random vibrations. The theory of random vibration is strongly related to the design of spacecraft structures and is illustrated with simple and more difficult worked examples.

The fourteen chapters of the book cover the basic principles and traditional applications, as well as the latest developments of fracture mechanics as applied to problems of composite materials, thin films, nanoindentation and cementitious materials.

Contact Mechanics studies the stress and strain states of bodies in contact; This book investigates a variety of contact problems: discrete contact of rough surfaces, the effect of imperfect elasticity and mechanical inhomogeneity of contacting bodies, models of friction and wear, changes in contact characteristics during the wear process, etc.

Proceedings of the IUTAM Symposium held in Stuttgart, Germany, 20-24 August 2001

This volume consists of a collection of chapters by recognized experts to provide a comprehensive fundamental theoretical continuum treatment of constitutive laws used for modelling the mechanical and coupled-field properties of various types of solid materials.

It will bring students and engineers from various disciplines up to date on key concepts that have become increasingly important in the design of safety-relevant engineering structures in general and in modern lightweight structures in the transportation industry in particular.

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In this new edition, the fundamental material on classical linear aeroelasticity has been revised. New chapters on aeroelasticity in turbomachinery and aeroelasticity and the latter chapters for a more advanced course, a graduate seminar or as a reference source for an entree to the research literature.

Reanalysis is needed in many areas such as structural optimization, analysis of damaged structures, nonlinear analysis, probabilistic analysis, controlled structures, smart structures and adaptive structures.

The field of structural optimization is still a relatively new field undergoing rapid changes in methods and focus. There is still no shortage of new publications, but there are also exciting applications of the methods of structural optimizations in the automotive, aerospace, civil engineering, machine design and other engineering fields.

This comprehensive treatise covers in detail practical methods of analysis as well as advanced mathematical models for structures highly sensitive to creep and shrinkage.

This book presents pedestrian injuries from a biomechanical perspective. It gives a detailed treatment of the physics of pedestrian impact plus a review of the accident databases and relevant injury criteria used to assess pedestrian injuries.

The conclusion of a larger work on structural synthesis of parallel robots, this book offers topologies of parallel robotic manipulators with two and three degrees of freedom systematically generated by using a structural synthesis approach proposed in Part 1.