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Elasticity Of Transversely Isotropic Materials

Author: Haojiang Ding
Publisher: Springer Science & Business Media
ISBN: 1402040342
Size: 70.65 MB
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This book aims to provide a comprehensive introduction to the theory and applications of the mechanics of transversely isotropic elastic materials. There are many reasons why it should be written. First, the theory of transversely isotropic elastic materials is an important branch of applied mathematics and engineering science; but because of the difficulties caused by anisotropy, the mathematical treatments and descriptions of individual problems have been scattered throughout the technical literature. This often hinders further development and applications. Hence, a text that can present the theory and solution methodology uniformly is necessary. Secondly, with the rapid development of modern technologies, the theory of transversely isotropic elasticity has become increasingly important. In addition to the fields with which the theory has traditionally been associated, such as civil engineering and materials engineering, many emerging technologies have demanded the development of transversely isotropic elasticity. Some immediate examples are thin film technology, piezoelectric technology, functionally gradient materials technology and those involving transversely isotropic and layered microstructures, such as multi-layer systems and tribology mechanics of magnetic recording devices. Thus a unified mathematical treatment and presentation of solution methods for a wide range of mechanics models are of primary importance to both technological and economic progress.

New Trends In Fluid And Solid Models

Author: Michele Ciarletta
Publisher: World Scientific
ISBN: 9814293210
Size: 75.95 MB
Format: PDF, ePub
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The Proceedings of the 1st Conference on New Trends in Fluid and Solid Models provide an overview of results and new models in fluid dynamics and, In general, In continuum mechanics. The contributions refer in particular to models in continuum mechanics, phase transitions, qualitative analysis for ODEs or PDEs models, Stability in fluids and solids, wave propagation, discontinuity and shock waves, and numerical simulations.

Special Topics In The Theory Of Piezoelectricity

Author: Jiashi Yang
Publisher: Springer Science & Business Media
ISBN: 9780387894980
Size: 11.65 MB
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Piezoelectricity has been a steadily growing field, with recent advances made by researchers from applied physics, acoustics, materials science, and engineering. This collective work presents a comprehensive treatment of selected advanced topics in the subject. The book is written for an intermediate graduate level and is intended for researchers, mechanical engineers, and applied mathematicians interested in the advances and new applications in piezoelectricity.

Embedded Systems Modeling Technology And Applications

Author: Günter Hommel
Publisher: Springer Science & Business Media
ISBN: 1402049331
Size: 52.11 MB
Format: PDF, Kindle
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The International Workshop on 'Embedded Systems -- Modeling, Technology, and Applications' is the seventh in a successful series of workshops that were established by Shanghai Jiao Tong University and Technische Universität Berlin. The goal of those workshops is to bring together researchers from both universities in order to present research results to an international community. Successfully realizing Embedded Systems requires methods and tools from different disciplines. Formal specification techniques not only for the embedded system itself but also for the device and environment that is controlled by the embedded system are used for functional and non-functional properties (e.g. performance, real-time behavior). Formal models allow analyzing and optimizing those properties. Different methods and tools are used to design the required behavior of the system and finally to implement and test the system. Aspects covered in this workshop are, among others, Models and specification Simulation of different properties Middleware for distributed real-time systems Signal Analysis Control methods Applications in airborne and medical systems.

Elasticity

Author: J.R. Barber
Publisher: Springer Science & Business Media
ISBN: 0306483955
Size: 51.63 MB
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Since the first edition of this book was published, there have been major improve- TM TM ments in symbolic mathematical languages such as Maple and Mathematica and this has opened up the possibility of solving considerably more complex and hence interesting and realistic elasticity problems as classroomexamples. It also enables the student to focus on the formulation of the problem (e. g. the appropriate governing equations and boundary conditions) rather than on the algebraic manipulations, with a consequent improvement in insight into the subject and in motivation. During the past 10 years I have developed files in Maple and Mathematica to facilitate this p- cess, notably electronic versions of the Tables in the present Chapters 19 and 20 and of the recurrence relations for generating spherical harmonics. One purpose of this new edition is to make this electronic material available to the reader through the Kluwer website www. elasticity. org. I hope that readers will make use of this resource and report back to me any aspects of the electronic material that could benefit from improvement or extension. Some hints about the use of this material are contained in Appendix A. Those who have never used Maple or Mathematica will find that it takes only a few hours of trial and error to learn how to write programs to solve boundary value problems in elasticity.

Micromechanics Of Composite Materials

Author: George Dvorak
Publisher: Springer Science & Business Media
ISBN: 9400741014
Size: 78.25 MB
Format: PDF
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This book presents a broad exposition of analytical and numerical methods for modeling composite materials, laminates, polycrystals and other heterogeneous solids, with emphasis on connections between material properties and responses on several length scales, ranging from the nano and microscales to the macroscale. Many new results and methods developed by the author are incorporated into the rich fabric of the subject, which has developed from the work of many researchers over the last 50 years. Among the new results, the book offers an extensive analysis of internal and interface stresses caused by eigenstrains, such as thermal, transformation and inelastic strains in the constituents, which often exceed those caused by mechanical loads, and of inelastic behavior of metal matrix composites. Fiber prestress in laminates, and modeling of functionally graded materials are also analyzed. Furthermore, this book outlines several key subjects on modeling the properties of composites reinforced by particles of various shapes, aligned fibers, symmetric laminated plates and metal matrix composites. This volume is intended for advanced undergraduate and graduate students, researchers and engineers interested and involved in analysis and design of composite structures.

Collected Works Of J D Eshelby

Author: John Douglas Eshelby
Publisher: Springer Verlag
ISBN: 9781402044168
Size: 46.35 MB
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J.D. Eshelby's work has shaped the fields of defect mechanics and micromechanics of inhomogeneous solids in the last fifty years and provides the basis for the quantitative analysis of the controlling mechanisms of plastic deformation and fracture. Bringing fundamental concepts from physics into the analysis of the micromechanisms of deformation in solids, including the interaction of lattice defects and cracks, microcracks, with other defects, inhomogeneities etc., Eshelby provided the conceptual framework for the fundamental physical understanding and the corresponding analytical treatment of the complex interactions at the micro-level responsible for the mechanical properties at the continuum scale. Eshelby's work cut across disciplines and unified fields previously disjoint, such as materials science, fracture mechanics, plasticity, and composite materials. His paper on the ellipsoidal inclusion is the most cited in solid mechanics, and many of his papers are highly cited. In this volume we present the Collected Works of Eshelby unabridged as well as forewords by D.M. Barnett (Stanford Unviversity), B. Bilby (Sheffield), A. Seeger (Stuttgart), and J.R. Willis (Cambridge University) as to the impact of Eshelby's work on their own and the field.

The Behavior Of Shells Composed Of Isotropic And Composite Materials

Author: Jack R. Vinson
Publisher: Springer Science & Business Media
ISBN: 9780792321132
Size: 30.51 MB
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Shell structures are used in all phases of structures, from space vehicles to deep submergence hulls, from nuclear reactors to domes on sport arenas and civic buildings. With new materials and manufacturing methods, curved thin walled structures are being used increasingly. This text is a graduate course in the theory of shells. It covers shells of isotropic materials, such as metal alloys and plastics, and shells of composite materials, such as fibre reinforced polymer, metal or ceramic matrix materials. It provides the essential information for an understanding of the underlying theory, and solution of some of the basic problems. It also provides a basis to study the voluminous shell literature. Beyond being primarily a textbook, it is intended also for self study by practising engineers who would like to learn more about the behaviour of shells. The book has two parts: Part I deals with shells of isotropic materials. In this part the mathematical formulations are introduced involving curvilinear coordinates. The techniques of solutions and resulting behavior is compared to planar thin walled isotropic structures such as plates and beams. Part II then treats the behavior of shells, involving anisotropic composite materials, so widely used today. The analysis involves the complications due to the many elastic constants, effects of transverse shear deformation, thermal thickening and offer effects arising from the properties of composite materials.