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Elasticity Of Transversely Isotropic Materials

Author: Haojiang Ding
Publisher: Springer Science & Business Media
ISBN: 1402040342
Size: 67.87 MB
Format: PDF
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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: 20.71 MB
Format: PDF, Mobi
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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: 44.98 MB
Format: PDF
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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: 43.51 MB
Format: PDF, Mobi
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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: James Richard Barber
Publisher: Springer Science & Business Media
ISBN: 940112454X
Size: 20.21 MB
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The subject of Elasticity can be approached from several points of view, depending on whether the practitioner is principally interested in the mathematicalstructure of the subject or in its use in engineering applications and in the latter case, whether essentially numerical or analytical methods are envisaged as the solution method. My first introduction to the subject was in response to a need for information about a specific problem in Tribology. As a practising engineer with a background only in elementary Strength of Materials, I approached that problem initially using the con cepts of concentrated forces and superposition. Today, with a rather more extensive knowledge of analytical techniques in Elasticity, I still find it helpful to go back to these roots in the elementary theory and think through a problem physically as well as mathematically, whenever some new and unexpected feature presents difficulties in research. This way of thinking will be found to permeate this book. My engineering background will also reveal itself in a tendency to work examples through to final expressions for stresses and displacements, rather than leave the derivation at a point where the remaining manipulations would be routine. With the practical engineering reader in mind, I have endeavoured to keep to a minimum any dependence on previous knowledge of Solid Mechanics, Continuum Mechanics or Mathematics.

Collected Works Of J D Eshelby

Author: John Douglas Eshelby
Publisher: Springer Verlag
ISBN: 9781402044168
Size: 44.52 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.

Large Strain Finite Element Method

Author: Antonio Munjiza
Publisher: John Wiley & Sons
ISBN: 1118535804
Size: 73.15 MB
Format: PDF, Docs
View: 1998
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An introductory approach to the subject of large strains and large displacements in finite elements. Large Strain Finite Element Method: A Practical Course, takes an introductory approach to the subject of large strains and large displacements in finite elements and starts from the basic concepts of finite strain deformability, including finite rotations and finite displacements. The necessary elements of vector analysis and tensorial calculus on the lines of modern understanding of the concept of tensor will also be introduced. This book explains how tensors and vectors can be described using matrices and also introduces different stress and strain tensors. Building on these, step by step finite element techniques for both hyper and hypo-elastic approach will be considered. Material models including isotropic, unisotropic, plastic and viscoplastic materials will be independently discussed to facilitate clarity and ease of learning. Elements of transient dynamics will also be covered and key explicit and iterative solvers including the direct numerical integration, relaxation techniques and conjugate gradient method will also be explored. This book contains a large number of easy to follow illustrations, examples and source code details that facilitate both reading and understanding. Takes an introductory approach to the subject of large strains and large displacements in finite elements. No prior knowledge of the subject is required. Discusses computational methods and algorithms to tackle large strains and teaches the basic knowledge required to be able to critically gauge the results of computational models. Contains a large number of easy to follow illustrations, examples and source code details. Accompanied by a website hosting code examples.

Micromechanics Of Composite Materials

Author: George Dvorak
Publisher: Springer Science & Business Media
ISBN: 9400741014
Size: 27.93 MB
Format: PDF, ePub
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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.