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This book focuses on the mechanisms and underlying mechanics of failure in various classes of materials such as metallic, ceramic, polymeric, composite and bio-material. Topics include tensile and compressive fracture, crack initiation and growth, fatigue and creep rupture in metallic materials, matrix cracking and delamination and environmental degradation in polymeric composites, failure of bio-materials such as prosthetic heart valves and prosthetic hip joints, failure of ceramics and ceramic matrix composites, failure of metallic matrix composites, static and dynamic buckling failure, dynamic excitations and creep buckling failure in structural systems. Chapters are devoted to failure mechanisms that are characteristic of each of the materials. The work also provides the basic elements of fracture mechanics and studies in detail several niche topics such as the effects of toughness gradients, variable amplitude loading effects in fatigue, small fatigue cracks, and creep induced brittleness. Furthermore, the book reviews a large number of experimental results on these failure mechanisms. The book will benefit structural and materials engineers and researchers seeking a “birds-eye” view of possible failure mechanisms in structures along with the associated failure and structural mechanics.
Fracture mechanics. --- Structural failures. --- Fracture mechanics --- Structural failures --- Engineering & Applied Sciences --- Chemical & Materials Engineering --- Applied Mathematics --- Materials Science --- Metals --- Fracture. --- Failure of metals --- Fracture of metals --- Failure --- Engineering. --- Continuum mechanics. --- Mechanical engineering. --- Continuum Mechanics and Mechanics of Materials. --- Mechanical Engineering. --- Testing --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Engineering, Mechanical --- Engineering --- Machinery --- Steam engineering --- Applied mechanics --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory
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Recently, several applications, primarily driven by microtechnology, have emerged where the use of materials with tailored electromagnetic (dielectric) properties are necessary for a successful overall design. The ``tailored'' aggregate properties are achieved by combining an easily moldable base matrix with particles having dielectric properties that are chosen to deliver (desired) effective properties. In many cases, the analysis of such materials requires the simulation of the macroscopic and microscopic electromagnetic response, as well as its resulting coupled thermal response, which can be important to determine possible failures in ``hot spots.'' This necessitates a stress analysis. Furthermore, because, oftentimes, such processes initiate degratory chemical processes, it can be necessary to also include models for these processes as well. A central objective of this work is to provide basic models and numerical solution strategies to analyze the coupled response of such materials by direct simulation using standard laptop/desktop equipment. Accordingly, this monograph covers: (1) The foundations of Maxwell's equations, (2) Basic homogenization theory, (3) Coupled systems (electromagnetic, thermal, mechanical and chemical), (4) Numerical methods and (5) An introduction to select biological problems. The text can be viewed as a research monograph suitable for use in an upper-division undergraduate or first year graduate course geared towards students in the applied sciences, mechanics and mathematics that have an interest in the analysis of particulate materials.
Dielectrics -- Magnetic properties -- Mathematical models. --- Dielectrics -- Magnetic properties. --- Dielectrics. --- Mechanics, Applied. --- Civil & Environmental Engineering --- Physics --- Physical Sciences & Mathematics --- Engineering & Applied Sciences --- Civil Engineering --- Electricity & Magnetism --- Dielectrics --- Magnetic properties. --- Engineering. --- Mechanics. --- Continuum mechanics. --- Theoretical and Applied Mechanics. --- Continuum Mechanics and Mechanics of Materials. --- Mechanics, applied. --- Solid Mechanics. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory
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This text is a guide how to solve problems in which viscoelasticity is present using existing commercial computational codes. The book gives information on codes’ structure and use, data preparation and output interpretation and verification. The first part of the book introduces the reader to the subject, and to provide the models, equations and notation to be used in the computational applications. The second part shows the most important Computational techniques: Finite elements formulation, Boundary elements formulation, and presents the solutions of Viscoelastic problems with Abaqus.
Viscoelasticity -- Mathematics. --- Viscoelasticity --- Chemical & Materials Engineering --- Engineering & Applied Sciences --- Applied Mathematics --- Materials Science --- Mathematics --- Viscoelasticity. --- Continuum mechanics. --- Mechanics of continua --- Engineering. --- Materials science. --- Continuum Mechanics and Mechanics of Materials. --- Characterization and Evaluation of Materials. --- Elasticity --- Mechanics, Analytic --- Field theory (Physics) --- Material science --- Physical sciences --- Construction --- Industrial arts --- Technology --- Continuum mechanics --- Viscosity --- Relaxation phenomena --- Mechanics. --- Mechanics, Applied. --- Surfaces (Physics). --- Solid Mechanics. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Surface chemistry --- Surfaces (Technology)
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This book elucidates how Finite Element methods look like from the perspective of Green’s functions, and shows new insights into the mathematical theory of Finite Elements. Practically, this new view on Finite Elements enables the reader to better assess solutions of standard programs and to find better model of a given problem. The book systematically introduces the basic concepts how Finite Elements fulfill the strategy of Green’s functions and how approximating of Green’s functions. It discusses in detail the discretization error and shows that are coherent with the strategy of “goal oriented refinement”. The book also gives much attention to the dependencies of FE solutions from the parameter set of the model.
Green's functions. --- Quantum theory. --- Green's functions --- Finite element method --- Engineering & Applied Sciences --- Chemical & Materials Engineering --- Physics --- Physical Sciences & Mathematics --- Materials Science --- Applied Mathematics --- Atomic Physics --- Finite element method. --- Engineering. --- Computer mathematics. --- Continuum mechanics. --- Structural mechanics. --- Continuum Mechanics and Mechanics of Materials. --- Computational Mathematics and Numerical Analysis. --- Structural Mechanics. --- Functions, Green's --- Functions, Induction --- Functions, Source --- Green functions --- Induction functions --- Source functions --- Differential equations --- Potential theory (Mathematics) --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Numerical analysis --- Isogeometric analysis
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This is a work in four parts, dealing with the mechanics and thermodynamics of materials with memory, including properties of the dynamical equations which describe their evolution in time under varying loads. The first part is an introduction to Continuum Mechanics with sections dealing with classical Fluid Mechanics and Elasticity, linear and non-linear. The second part is devoted to Continuum Thermodynamics, which is used to derive constitutive equations of materials with memory, including viscoelastic solids, fluids, heat conductors and some examples of non-simple materials. In part three, free energies for materials with linear memory constitutive relations are comprehensively explored. The new concept of a minimal state is also introduced. Formulae derived over the last decade for the minimum and related free energies are discussed in depth. Also, a new single integral free energy which is a functional of the minimal state is analyzed in detail. Finally, free energies for examples of non-simple materials are considered. In the final part, existence, uniqueness and stability results are presented for the integrodifferential equations describing the dynamical evolution of viscoelastic materials. A new approach to these topics, based on the use of minimal states rather than histories, is discussed in detail. There are also chapters on the controllability of thermoelastic systems with memory, the Saint-Venant problem for viscoelastic materials and on the theory of inverse problems.
Continuum mechanics. --- Thermodynamics. --- Thermodynamics --- Smart materials --- Continuum mechanics --- Mechanical Engineering --- Physics --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Mechanical Engineering - General --- Applied Physics --- Mathematical models --- Mathematical models. --- Mechanics of continua --- Adaptive materials --- Intelligent materials --- Sense-able materials --- Mathematics. --- Mathematical physics. --- Mechanics. --- Materials science. --- Mathematical Applications in the Physical Sciences. --- Characterization and Evaluation of Materials. --- Continuum Mechanics and Mechanics of Materials. --- Elasticity --- Mechanics, Analytic --- Field theory (Physics) --- Materials
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This volume highlights the latest developments and trends in advanced materials and their properties, the modeling and simulation of non-classical materials and structures, and new technologies for joining materials. It presents the developments of advanced materials and respective tools to characterize and predict the material properties and behavior.
Materials. --- Materials science. --- Material science --- Engineering. --- Computer mathematics. --- Continuum mechanics. --- Continuum Mechanics and Mechanics of Materials. --- Characterization and Evaluation of Materials. --- Computational Mathematics and Numerical Analysis. --- Physical sciences --- Engineering --- Engineering materials --- Industrial materials --- Engineering design --- Manufacturing processes --- Materials --- Mechanics. --- Mechanics, Applied. --- Surfaces (Physics). --- Computer science --- Solid Mechanics. --- Mathematics. --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Physics --- Surface chemistry --- Surfaces (Technology) --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Mathematics
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This book introduces the core concepts of the shock wave physics of condensed matter, taking a continuum mechanics approach to examine liquids and isotropic solids. The text primarily focuses on one-dimensional uniaxial compression in order to show the key features of condensed matter’s response to shock wave loading. The first four chapters are specifically designed to quickly familiarize physical scientists and engineers with how shock waves interact with other shock waves or material boundaries, as well as to allow readers to better understand shock wave literature, use basic data analysis techniques, and design simple 1-D shock wave experiments. This is achieved by first presenting the steady one-dimensional strain conservation laws using shock wave impedance matching, which insures conservation of mass, momentum and energy. Here, the initial emphasis is on the meaning of shock wave and mass velocities in a laboratory coordinate system. An overview of basic experimental techniques for measuring pressure, shock velocity, mass velocity, compression and internal energy of steady 1-D shock waves is then presented. In the second part of the book, more advanced topics are progressively introduced: thermodynamic surfaces are used to describe equilibrium flow behavior, first-order Maxwell solid models are used to describe time-dependent flow behavior, descriptions of detonation shock waves in ideal and non-ideal explosives are provided, and lastly, a select group of current issues in shock wave physics are discussed in the final chapter.
Differential equations, Partial. --- Condensed matter --- Shock waves --- Engineering & Applied Sciences --- Chemical & Materials Engineering --- Materials Science --- Applied Mathematics --- Condensed materials --- Condensed media --- Condensed phase --- Materials, Condensed --- Media, Condensed --- Phase, Condensed --- Engineering. --- Thermodynamics. --- Condensed matter. --- Heat engineering. --- Heat transfer. --- Mass transfer. --- Continuum mechanics. --- Continuum Mechanics and Mechanics of Materials. --- Condensed Matter Physics. --- Engineering Thermodynamics, Heat and Mass Transfer. --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Chemistry, Physical and theoretical --- Mechanics --- Heat --- Heat-engines --- Construction --- Industrial arts --- Technology --- Shock waves. --- Liquids --- Matter --- Solids --- Mass transport (Physics) --- Thermodynamics --- Transport theory --- Heat transfer --- Thermal transfer --- Transmission of heat --- Energy transfer --- Mechanical engineering
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This book covers the important issues of terminal ballistics in a comprehensive way combining experimental data, numerical simulations and analytical modeling. The first chapter reviews the experimental equipment which are used for ballistic tests and the diagnostics for material characterization under impulsive loading conditions. The second chapter covers essential features of the codes which are used for terminal ballistics such as the Euler vs. Lagrange schemes and meshing techniques, as well as the most popular material models. The third chapter, devoted to the penetration mechanics of rigid penetrators, brings the update of modeling in this field. The fourth chapter deals with plate perforation and the fifth chapter deals with the penetration mechanics of shaped charge jets and eroding long rods. The last two chapters discuss several techniques for the disruption and defeating of the main threats in armor design. Throughout the book the authors demonstrate the advantages of numerical simulations in understanding the basic physics behind the investigated phenomena.
Firearms -- Atlases. --- Forensic ballistics -- Atlases. --- Gunshot wounds -- Atlases. --- Chemical & Materials Engineering --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Materials Science --- Civil Engineering --- Ballistics. --- Engineering. --- Physical measurements. --- Measurement. --- Continuum mechanics. --- Engineering design. --- Engineering Design. --- Measurement Science and Instrumentation. --- Continuum Mechanics and Mechanics of Materials. --- Physics --- Gunnery --- Penetration mechanics --- Projectiles --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Design, Engineering --- Engineering --- Industrial design --- Strains and stresses --- Design --- Measurement . --- Measuring --- Mensuration --- Mathematics --- Technology --- Metrology --- Physical measurements --- Measurements, Physical --- Mathematical physics --- Measurement
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"Advances in Soft Matter Mechanics" is a compilation and selection of recent works in soft matter mechanics by a group of active researchers in the field. The main objectives of this book are first to disseminate the latest developments in soft matter mechanics in the field of applied and computational mechanics, and second to introduce soft matter mechanics as a sub-discipline of soft matter physics. As an important branch of soft matter physics, soft matter mechanics has developed rapidly in recent years. A number of the novel approaches discussed in this book are unique, such as the coarse grained finite element method for modeling colloidal adhesion, entropic elasticity, meshfree simulations of liquid crystal elastomers, simulations of DNA, etc. The book is intended for researchers and graduate students in the field of mechanics, condensed matter physics and biomaterials. Dr. Shaofan Li is a professor of the University of California-Berkeley, U.S.A; Dr. Bohua Sun is a professor of Cape Peninsula University of Technology, South Africa. .
Forensic sciences. --- Soft condensed matter --- Physics --- Physical Sciences & Mathematics --- Atomic Physics --- Soft condensed matter. --- Physics. --- Polymers. --- Amorphous substances. --- Complex fluids. --- Continuum mechanics. --- Biomaterials. --- Soft and Granular Matter, Complex Fluids and Microfluidics. --- Continuum Mechanics and Mechanics of Materials. --- Polymer Sciences. --- Condensed matter --- Matter, Soft (Condensed matter) --- Matter, Soft condensed --- Soft matter (Condensed matter) --- Complex fluids --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Polymere --- Polymeride --- Polymers and polymerization --- Macromolecules --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Biocompatible materials --- Biomaterials --- Medical materials --- Medicine --- Biomedical engineering --- Materials --- Biocompatibility --- Prosthesis --- Polymers . --- Bioartificial materials --- Hemocompatible materials --- Complex liquids --- Fluids, Complex --- Amorphous substances --- Liquids --- Biomaterials (Biomedical materials)
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Recent developments in engineering and technology have brought about serious and enlarged demands for reliability, safety and economy in wide range of fields such as aeronautics, nuclear engineering, civil and structural engineering, automotive and production industry. This, in turn, has caused more interest in continuum damage mechanics and its engineering applications. This book aims to give a concise overview of the current state of damage mechanics, and then to show the fascinating possibility of this promising branch of mechanics, and to provide researchers, engineers and graduate students with an intelligible and self-contained textbook. The book consists of two parts and an appendix. Part I is concerned with the foundation of continuum damage mechanics. Basic concepts of material damage and the mechanical representation of damage state of various kinds are described in Chapters 1 and 2. In Chapters 3-5, irreversible thermodynamics, thermodynamic constitutive theory and its application to the modeling of the constitutive and the evolution equations of damaged materials are descried as a systematic basis for the subsequent development throughout the book. Part II describes the application of the fundamental theories developed in Part I to typical damage and fracture problems encountered in various fields of the current engineering. Important engineering aspects of elastic-plastic or ductile damage, their damage mechanics modeling and their further refinement are first discussed in Chapter 6. Chapters 7 and 8 are concerned with the modeling of fatigue, creep, creep-fatigue and their engineering application. Damage mechanics modeling of complicated crack closure behavior in elastic-brittle and composite materials are discussed in Chapters 9 and 10. In Chapter 11, applicability of the local approach to fracture by means of damage mechanics and finite element method, and the ensuing mathematical and numerical problems are briefly discussed. A proper understanding of the subject matter requires knowledge of tensor algebra and tensor calculus. At the end of this book, therefore, the foundations of tensor analysis are presented in the Appendix, especially for readers with insufficient mathematical background, but with keen interest in this exciting field of mechanics.
Continuum damage mechanics. --- Engineering. --- Mechanics. --- Continuum damage mechanics --- Engineering & Applied Sciences --- Chemical & Materials Engineering --- Materials Science --- Applied Mathematics --- CDM (Continuum damage mechanics) --- Damage mechanics, Continuum --- Continuum mechanics. --- Materials science. --- Continuum Mechanics and Mechanics of Materials. --- Characterization and Evaluation of Materials. --- Continuum mechanics --- Fracture mechanics --- Mechanics, Applied. --- Surfaces (Physics). --- Solid Mechanics. --- Classical Mechanics. --- Physics --- Surface chemistry --- Surfaces (Technology) --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Material science --- Physical sciences --- Solids. --- Materials—Analysis. --- Characterization and Analytical Technique. --- Solid state physics --- Transparent solids
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