Nonlinear Mechanics Of Crystals

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Nonlinear Mechanics of Crystals

John D. Clayton
Nonlinear Mechanics of Crystals Book PDF

Author : John D. Clayton
Publisher : Springer Science & Business Media
Page : 709 pages
File Size : 55,9 Mb
Release : 2010-11-01
Category : Science
ISBN : 9789400703506

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Nonlinear Mechanics of Crystals by John D. Clayton Pdf

This book describes behavior of crystalline solids primarily via methods of modern continuum mechanics. Emphasis is given to geometrically nonlinear descriptions, i.e., finite deformations. Primary topics include anisotropic crystal elasticity, plasticity, and methods for representing effects of defects in the solid on the material's mechanical response. Defects include crystal dislocations, point defects, twins, voids or pores, and micro-cracks. Thermoelastic, dielectric, and piezoelectric behaviors are addressed. Traditional and higher-order gradient theories of mechanical behavior of crystalline solids are discussed. Differential-geometric representations of kinematics of finite deformations and lattice defect distributions are presented. Multi-scale modeling concepts are described in the context of elastic and plastic material behavior. Representative substances towards which modeling techniques may be applied are single- and poly- crystalline metals and alloys, ceramics, and minerals. This book is intended for use by scientists and engineers involved in advanced constitutive modeling of nonlinear mechanical behavior of solid crystalline materials. Knowledge of fundamentals of continuum mechanics and tensor calculus is a prerequisite for accessing much of the text. This book could be used as supplemental material for graduate courses on continuum mechanics, elasticity, plasticity, micromechanics, or dislocation mechanics, for students in various disciplines of engineering, materials science, applied mathematics, and condensed matter physics.

Nonlinear Waves in Elastic Crystals

Gérard A. Maugin
Nonlinear Waves in Elastic Crystals Book PDF

Author : Gérard A. Maugin
Publisher : Unknown
Page : 328 pages
File Size : 54,9 Mb
Release : 1999
Category : Mathematics
ISBN : 0198534841

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Nonlinear Waves in Elastic Crystals by Gérard A. Maugin Pdf

The mathematical modelling of changing structures in materials is of increasing importance to industry where applications of the theory are found in subjects as diverse as aerospace and medicine. This book deals with aspects of the nonlinear dynamics of deformable ordered solids (known as elastic crystals) where the nonlinear effects combine or compete with each other. Physical and mathematical models are discused and computational aspects are also included. Different models are considered - on discrete as well as continuum scales - applying heat, electricity, or magnetism to the crystal structure and these are analysed using the equations of rational mechanics. Students are introduced to the important equations of nonlinear science that describe shock waves, solitons and chaos and also the non-exactly integrable systems or partial differential equations. A large number of problems and examples are included, many taken from recent research and involving both one-dimensional and two-dimensional problems as well as some coupled degress of freedom.

Handbook of Nonlinear Optical Crystals

Valentin G. Dmitriev,Gagik G. Gurzadyan,David N. Nikogosyan
Handbook of Nonlinear Optical Crystals Book PDF

Author : Valentin G. Dmitriev,Gagik G. Gurzadyan,David N. Nikogosyan
Publisher : Springer
Page : 230 pages
File Size : 48,6 Mb
Release : 2013-11-11
Category : Science
ISBN : 9783662138304

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Handbook of Nonlinear Optical Crystals by Valentin G. Dmitriev,Gagik G. Gurzadyan,David N. Nikogosyan Pdf

Since the invention of the first laser 30 years ago, the frequency conversion of laser radiation in nonlinear optical crystals has become an important technique widely used in quantum electronics and laser physics for solving various scientific and engineering problems. The fundamental physics of three-wave light interactions in nonlinear optical crystals is now largely understood. This has enabled the production of the various harmonic generators, sum and difference frequency generators, and parametric oscillators based on nonlinear crystals that are now commercially available. At the same time, scientists continue an active search for novel high-efficiency optical materials. Therefore, in our opinion, there is a great need for a handbook of nonlinear optical crystals, intended for specialists and practitioners with an engineering background. This book contains a complete description of the properties and applications of all nonlinear crystals reported in the literature up to the beginning of 1990. In addition, it contains the most important equations for calculating the main parameters (such as phase-matching direction, effective non-linearity, and conversion efficiency) of nonlinear frequency converters.

Constitutive Equations of Nonlinear Electromagnetic-Elastic Crystals

E. Kiral,A.Cemal Eringen
Constitutive Equations of Nonlinear Electromagnetic Elastic Crystals Book PDF

Author : E. Kiral,A.Cemal Eringen
Publisher : Springer Science & Business Media
Page : 244 pages
File Size : 51,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461233145

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Constitutive Equations of Nonlinear Electromagnetic-Elastic Crystals by E. Kiral,A.Cemal Eringen Pdf

Continuum physics is concemed with the predictions of deformations, stress, temperature, and electromagnetic fields in deformable and fluent bodies. To that extent, mathematical formulation requires the establishment of basic balance laws and constitutive equations. Balance laws are the union of those of continuum thermomechanics and MaxweIl's equations, as coIlected in Chapter 1. To dose the theory it is necessary to formulate equations for the material response to extemal stimuli. These equations bring into play the material properties of the media under consideration. In their simplest forms these are the constitutive laws, such as Hooke's law of dassical elasticity, Stokes' law of viscosity of viscous fluids, Fourier's law of heat conduction, Ohm's law of electric conduction, etc. For large deformations and fields in material media, the constitutive laws become very complicated, in vol ving all physical effects and material symmetry. The present work is concemed with the material symmetry regulations arising from the crystaIlographic symmetry of magnetic crystals. While there exist some works on the thirty-two conventional crystal dasses, exduding the linear case, there exists no study on the nonlinear constitutive equations for the ninty magnetic crystal dasses. Yet the interaction of strong electromagnetic fields with deformable solids cannot be explained without the material sym metry regulations relevant to magnetic crystals. In this monograph, we present a thorough discussion of magnetic symmetry by means of group theory. We consider onlyone scalar function which depends on one symmetric second-order tensor (e. g."

Nonlinear Optical Crystals: A Complete Survey

David N. Nikogosyan
Nonlinear Optical Crystals A Complete Survey Book PDF

Author : David N. Nikogosyan
Publisher : Springer Science & Business Media
Page : 430 pages
File Size : 45,5 Mb
Release : 2006-03-21
Category : Science
ISBN : 9780387271514

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Nonlinear Optical Crystals: A Complete Survey by David N. Nikogosyan Pdf

Nonlinear Optical Crystals contains the most complete and up-to-date reference material on properties of nonlinear optical crystals including: Traditional and specific applications The mathematical formulas necessary for the calculation of the frequency conversion process A survey of 63 nonlinear optical crystals containing more than 1500 different references with full titles Recent applications of common and novel nonlinear materials, including quasi-phase matching Special consideration for periodically-poled and self-frequency-doubling materials Significant amount of crystallophysical, thermophysical, spectroscopic, electro-optic and magneto-optic information

Mechanics and Mathematics of Crystals

Jerald L. Ericksen,Millard F. Beatty,Michael A. Hayes
Mechanics and Mathematics of Crystals Book PDF

Author : Jerald L. Ericksen,Millard F. Beatty,Michael A. Hayes
Publisher : World Scientific
Page : 656 pages
File Size : 48,8 Mb
Release : 2005
Category : Science
ISBN : 9789812562838

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Mechanics and Mathematics of Crystals by Jerald L. Ericksen,Millard F. Beatty,Michael A. Hayes Pdf

This book is a unique and comprehensive collection of pioneering contributions to the mechanics of crystals by J L Ericksen, a prominent and leading contributor to the study of the mechanics and mathematics of crystalline solids over the past 35 years.It presents a splendid corpus of research papers that cover areas on crystal symmetry, constitutive equations, defects and phase transitions — all topics of current importance to a broad group of workers in the field.The volume thus provides in one place material that is frequently referenced by numerous researchers on crystals across a spectrum of activities in areas of continuum mechanics, applied mathematics, engineering and materials science.Each group of papers or chapters in the book is preceded by a summary introduction that describes how the papers on that topic fit together, and in which Ericksen sketches the context of each paper and shares with the reader his thinking and insightfulness in writing it. The volume, edited by internationally renowned scholars whose works in finite elasticity and continuum mechanics have appeared in a variety of books and prestigious journals published over the past four decades, also includes a very interesting brief autobiography by Ericksen. In it he describes his early life in Oregon, his wartime experiences, his student days and postgraduate study, his introduction to scientific work, and what motivated him in his research. An English translation and revision of the first paper in this volume, originally published in Russian, appears here for the first time.

Sixth International Conference on Nonlinear Mechanics (ICNM-6)

Zhe-wei Zhou
Sixth International Conference on Nonlinear Mechanics ICNM 6 Book PDF

Author : Zhe-wei Zhou
Publisher : DEStech Publications, Inc
Page : 641 pages
File Size : 44,7 Mb
Release : 2013-08-30
Category : Science
ISBN : 9781605951096

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Sixth International Conference on Nonlinear Mechanics (ICNM-6) by Zhe-wei Zhou Pdf

Novel mathematical and modeling approaches to problems in graded materials, biological materials, fluid mechanics and more Covers nanomechanics, multi-scale modeling, interface mechanics and microstructure This series volume contains 128 not previously published research presentations on using nonlinear mechanics to understand and model a wide variety of materials, including polymers, metals and composites, as well as subcellular and cellular tissues. Focus is on numerical and physics approaches to representing multiscale relationships within complex solids and fluids systems, with applications in materials science, energy storage, medical diagnostics and treatment, and biotechnology. TABLE OF CONTENTS Preface Committees SESSION 1: INVITED LECTURES Micro-Macro Analysis of Creep and Damage Behavior of Multi-Pass Welds Some New Developments in Non-Linear Solid Mechanics Design of Material Systems: Mathematics and Physics of the Archetype-Genome Exemplar Criticism of Generally Accepted Fundamentals and Methodologies of Traffic and Transportation Theory SESSION 2: NONLINEAR CONTINUUM MECHANICS Geometrically Nonlinear Analysis of Simple Plane Frames of Functionally Graded Materials Thermal Post-Buckling of FG Circular Plates Under Transversely Point-Space Constraint Tunability of Longitudinal Wave Band Gap in One Dimensional Magneto-Elastic Phononic Crystal Teaching Nonlinear Mechanics at the Undergraduate and Graduate Level—Two Examples Geometrically Nonlinear FE Instability Simulations of Hinged Composite Laminated Cylindrical Shells Constitutive Relation of Martensitic Transformation in CuAlNi Based on Atomistic Simulations Soft Behaviors of Beam Shaped Liquid Crystal Elastomers Under Light Actuations XFEM Based Discontinuity Simulation for Saturated Soil Numerical Algorithm of Solving the Problem of Large Elastic-Plastic Deformation by FEM Finite Deformation for Everted Compressible Hypereleastic Cylindrical Tubes Modelling and Non-Linear Free Vibrations of Cable-Stayed Beam Wavelet Solution of a Class of Nonlinear Boundary Value Problems Axial Compression of a Rectangular Rubber Ring Composed of an Incompressible Mooney-Rivlin Material Influence of Concentration-Dependent Elastic Modulus and Charge or Discharge Rate on Tensile Stress in Anode An Integral Equation Approach to the Fully Nonlinear Fluid Flow Problem in an Infinite Channel Over Arbitrary Bottom Topography Analysis of Nonlinear Dynamical Characteristics for Thermoelastic Half-Plane with Voids Tensor Model for Dynamic Damage of Ductile Metals Over a Wide Range of Strain Rates SESSION 3: MULTI-SCALE MECHANICS AND MULTI-PHYSICS MODELING The Nonlinear Magnetoelectric Effect of Layered Magnetoelectric Composite Cylinder with an Imperfect Interface A Solution for Nonlinear Poisson-Neumann Problem of Nb3Sn Superconducting Transport Current Temperature Effect on the Tensile Mechanical Properties of Graphene Nanoribbons Square Inclusion with a Nonlinear Eigenstrain in an Anisotropic Piezoelectric Full Plane Nonlinear Analysis of the Threaded Connection with Three-Dimensional Finite Element Model Effects of Particle Volume Fraction on the Macro-Thermo-Mechanical Behaviors in Plate-Type Dispersion Nuclear Fuel Elements Mechanics of Semiflexible Polymer Chains Under Confinements Study on the Solution of Reynolds Equation for Micro Gas Bearings Using the Alternating-Direction Implication Algorithm Atomistic Study of Li Concentration Dependence of the Mechanical Properties of Graphite Anode in Li-ion Battery 3D Extrusion Simulation of the Single Screw Head and Optimization Design Buckling Behavior of Defective Carbon Nanotubes Elastic Properties of Single-Stranded DNA Biofilm with Strong Interactions Analysis on Thickness Dependence of Jc Caused by Dislocations and Grain Boundaries in YBCO Superconducting Films Operating Strain Response in CICC Coils Through Nonlinear Finite Element Modeling Dynamics Analysis of a Multi-Degree-of-Freedom Electro-Hydraulic Mix-Drive Motion Simulator by KANE Equation Multiscale 3D Fracture Simulation Integrating Tomographic Characterization Research into Compressive Mechanical Properties of Special Piezomagnetic Material Sheets A Numerical Study on Detonation Wave Propagation Using High-Precision and High-Resolution Schemes SESSION 4: STRUCTURAL DYNAMIC AND STRUCTURE-FLUID INTERACTIONS A Study on Pure IL VIV of a Marine Riser in Shear Current Parametric Studies on Nonlinear Flutter of High-Aspect-Ratio Flexible Wings Model Reduction of a Flexible Beam Rotating at High Speed Considering Dynamic Stiffening Vibration Modal Analysis of Cantilever Beams with Complicated Elasticity Boundary Constraint Numerical Simulation of Ahmed Model in Consideration of the FSI Effect Aerodynamic Damping of a Hammerhead Launch Vehicle in Transonic Flow Symmetry Reductions and Explicit Solutions of (3 + 1)-Dimensional Kadomtsev-Petviashvili (KP) Equation Nonlinear Behaviors of an Isotropic Incompressible Hyperelastic Spherical Membrane Under Different Dynamic Loads Creep Buckling of Viscoelastic Plate Consdering Higher Order Modes SESSION 5: COMPLEX FLUID FLOW AND NONLINEAR STABILITY Homotopy Analysis of Korteweg-de Vries Equation with Time Delay Homotopy Analysis Method for Bubble Pulsation Equation with Nonlinear Term of Fractional Power Chebyshev Finite Spectral Method for Boussinesq-Type Equations on Staggered Grids Twin Jets in Crossflow Application of Fixed Point Method to Obtain a Semi-Analytical Solution of Stagnation Flow On the Nonlinear Stability of Laminar Flow Between Parallel Planes Boundary Treatments in Lattice Boltzmann Method A Lattice Boltzmann Based Immersed Boundary Method for Fluid-Structure Interaction Numerical Solutions of Convection-Diffusion Equations by Hybrid Discontinuous Galerkin Methods Steady-State Solutions of the Wave-Bottom Resonant Interaction Lattice Boltzmann Simulation of the Shock Damping and the Shock Increased by Means of Lorentz Force Analysis of the Effects of Nonlinear Characteristics of Lag Dampers on Helicopter Ground Resonance Flow Structures and Sound Radiation in Supersonic Mixing Layers with Nonlinear PSE Method Turbulent Structures in Subsonic Jet Flow Forced by Random Disturbances Exponential p-Stability for a Delayed Recurrent Neural Networks with Impulses Spatial Variation of Scaling Exponents for Structure Functions in a Decaying Turbulence SESSION 6: NONLINEAR DYNAMIC OF STRUCTURE Analysis of Chaos Behavior of Single Mode Vibration of Cable-Stayed Chaotification of Fractional Maps Nonlinear Finite Element Analysis of the Dynamic Axial Crushing of Empty Hexagonal Tube Active Control of a Nonlinear Aeroelastic System Using the Receptance Method Dynamics Analysis of the FHN Neuronal Model Analyzing the Effect of the Axial Force to the Natural Frequencies of Arch Stable Periodic Response of One-Way Clutches in a Two-Pulley Belt-Drive Model Supercritical Nonlinear Dynamics of an Axially Moving Viscoelastic Beam with Speed Fluctuation Nonlinear Dynamic Response to a Moving Force of Timoshenko Beams Resting on Pasternak Foundations An Improved Method for the Construction of Nonlinear Operator in Homotopy Analysis Method A Nonlinear Integration Scheme for Evolutionary Differential Equations A Comparative Study of Civil Aircraft Crashworthiness with Different Ground Conditions Improved Dynamic Analysis of Development of Pulmonary Edema The Timescale Function Method for Solving Free Vibration of Nonlinear Oscillator Nonlinear Aeroelastic Analysis of Flexible Wings with High-Aspect-Ratio Considering Large Deflection Differential Quadrature Method for Vibration Analysis of Finite Beams on Nonlinear Viscoelastic Foundations Numerical Simulation on the Strength and Sealing Performance for High-Pressure Isolating Flange Nonlinear Dynamical Stability of the Lattices with Initial Material and Geometric Imperfection Nonlinear Vibration of Symmetric Angle-Ply Laminated Piezoelectric Plates with Linearly Varying Thickness An Exact Free Vibration Frequency Formula for Oscillator with Single-Term Positive-Power Restoring Force An Exact Solution of Synchronization State for a Class of Networked Mass-Spring-Damper Oscillator Systems SESSION 7: INTERFACE MECHANICS AND ENGINEERING APPLICATION Numerical Simulation of Free Surface Collapse in Propellant Tank Restudy on the Adaptive Mesh Technique for Seepage Problems High-Order Series Solutions of Wave and Current Interactions Deformation and Stress Distribution of Arterial Walls of the Aged A p53-Mdm2 Dynamical Model Induced by Laminar Shear Stress in Endothelial Cells Optimized Image Processing Based on CUDA in a Combined Measurement Technique of PIV and Shadowgraph 3D Visualization of the Flow Fields Using Digital In-Line Holography Analysis and Experimental Study on Air Foam Flooding Seepage Flow Mechanics Experimental Measurements for Mechanical and Electrical Conductive Properties of CNT Bundles Analysis on Dynamic Response of Bedding Rock Slope with Bolts under Earthquakes Numerical Prediction of Aerodynamic Noise Radiated from High Speed Train Pantograph Effects of Length on Aerodynamics of High Speed Train Models Free Convection Nanofluid Flow in the Stagnation-Point Region of a Three Dimensional Body Vertical Distribution and Dynamic Release Characteristics of Pollutants from Resuspended Sediment Numerical Simulation of the Contaminant Release Through the Sediment-Overlying Water Interface Analysis on the Aerodynamic and Aero-Noise of MIRA Model Radial Squeeze Force of MR Fluid Between Two Cylinders Nonlinear Buckling Analysis and Ultimate Extended Capacity Research of Downhole Pipe Strings in Ultra-Deep Horizontal Wells A Novel Method of Generating Nonlinear Internal Wave in a Stratified Fluid Tank and Its Theoretical Model SESSION 8: MINI-SYMPOSIUM ON TRAFFIC FLUID Study on Correlation Analysis of Synchronized Flow in the Kerner-Klenov-Wolf Cellular Automation Model Numerical Simulation of Traffic Flow in the Rain or Snow Weather Condition First Order Phase Transitions in the Brake Light Cellular Automation Model Within the Fundamental Diagram Approach The Leader-Follower Winding Behavior of Pedestrians in a Queue Effect of Overpasses in Two-Dimensional Traffic Flow Model with Random Update Rule Analysis of the Density Wave in a New Continuum Model The Phenomenon of High-Speed-Car-Following on Chinese Highways A Lattice Hydrodynamic Model Considering the Difference of Density and its Analysis Experimental Feature of Car-Following Behaviors in a Platoon of 25 Vehicles Car-Following Model for Manual Transmission Vehicles The Mechanism of Synchronized Flow in Traffic Flow Modeling An Asymmetric Stochastic Car-Following Model Based on Extended Tau Theory A Gaussian Distribution Based Dual-Cognition Driver Behavior Model at Cross Traffic A New Traffic Kinetic Model Considering Potential Influence The Effect of Marks on the Pedestrian Evacuation Equilibrium Velocity Distribution Function for Traffic Flow Effects of Antilock Braking System on Driving Behavior Under Emergent Stability Analysis of Pedestrian Flow in Two-Dimensional Optimal Velocity Model with Asymmetric Interaction Simulation-Based Stability Analysis of Car-Following Models Under Heterogeneous Traffic Crossing Speed of Pedestrian at an Unsignalized Intersection Modeling Mixed Traffic Flow at a Crosswalk with Push Button Effects of Game Strategy Update on Pedestrian Evacuation in a Hall Study on Long-Term Correlation of CO and CO2 from Vehicle Emissions on Roadsides with the Detrended Fluctuation Analysis Method Bottleneck Effect on a Bidirectional Two-Lane Mixed Traffic Flow

Quantum Mechanics in Nonlinear Systems

Xiao-Feng Pang,Yuan-Ping Feng
Quantum Mechanics in Nonlinear Systems Book PDF

Author : Xiao-Feng Pang,Yuan-Ping Feng
Publisher : World Scientific
Page : 644 pages
File Size : 49,9 Mb
Release : 2005
Category : Science
ISBN : 9789812561169

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Quantum Mechanics in Nonlinear Systems by Xiao-Feng Pang,Yuan-Ping Feng Pdf

In the history of physics and science, quantum mechanics has served as the foundation of modern science. This book discusses the properties of microscopic particles in nonlinear systems, principles of the nonlinear quantum mechanical theory, and its applications in condensed matter, polymers and biological systems.The book is essentially composed of three parts. The first part presents a review of linear quantum mechanics, as well as theoretical and experimental fundamentals that establish the nonlinear quantum mechanical theory. The theory itself and its essential features are covered in the second part. In the final part, extensive applications of this theory in physics, biology and polymer are introduced. The whole volume forms a complete system of nonlinear quantum mechanics.The book is intended for researchers, graduate students as well as upper-level undergraduates.

New Achievements in Continuum Mechanics and Thermodynamics

Bilen Emek Abali,Holm Altenbach,Francesco dell'Isola,Victor A. Eremeyev,Andreas Öchsner
New Achievements in Continuum Mechanics and Thermodynamics Book PDF

Author : Bilen Emek Abali,Holm Altenbach,Francesco dell'Isola,Victor A. Eremeyev,Andreas Öchsner
Publisher : Springer
Page : 586 pages
File Size : 43,8 Mb
Release : 2019-03-13
Category : Science
ISBN : 9783030133078

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New Achievements in Continuum Mechanics and Thermodynamics by Bilen Emek Abali,Holm Altenbach,Francesco dell'Isola,Victor A. Eremeyev,Andreas Öchsner Pdf

This book presents a liber amicorum dedicated to Wolfgang H. Müller, and highlights recent advances in Prof. Müller’s major fields of research: continuum mechanics, generalized mechanics, thermodynamics, mechanochemistry, and geomechanics. Over 50 of Prof. Müller’s friends and colleagues contributed to this book, which commemorates his 60th birthday and was published in recognition of his outstanding contributions.

Introduction to Geometrically Nonlinear Continuum Dislocation Theory

Christian B. Silbermann,Matthias Baitsch,Jörn Ihlemann
Introduction to Geometrically Nonlinear Continuum Dislocation Theory Book PDF

Author : Christian B. Silbermann,Matthias Baitsch,Jörn Ihlemann
Publisher : Springer Nature
Page : 100 pages
File Size : 49,8 Mb
Release : 2021-03-02
Category : Technology & Engineering
ISBN : 9783030636968

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Introduction to Geometrically Nonlinear Continuum Dislocation Theory by Christian B. Silbermann,Matthias Baitsch,Jörn Ihlemann Pdf

This book provides an introduction to geometrically non-linear single crystal plasticity with continuously distributed dislocations. A symbolic tensor notation is used to focus on the physics. The book also shows the implementation of the theory into the finite element method. Moreover, a simple simulation example demonstrates the capability of the theory to describe the emergence of planar lattice defects (subgrain boundaries) and introduces characteristics of pattern forming systems. Numerical challenges involved in the localization phenomena are discussed in detail.

Crystal Nonlinear Optics

Arlee Smith
Crystal Nonlinear Optics Book PDF

Author : Arlee Smith
Publisher : Unknown
Page : 782 pages
File Size : 45,8 Mb
Release : 2018-02-21
Category : Electronic
ISBN : 0692056785

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Crystal Nonlinear Optics by Arlee Smith Pdf

Advanced textbook on crystal nonlinear optics.

Nonlinear Elastic and Inelastic Models for Shock Compression of Crystalline Solids

John D. Clayton
Nonlinear Elastic and Inelastic Models for Shock Compression of Crystalline Solids Book PDF

Author : John D. Clayton
Publisher : Springer
Page : 483 pages
File Size : 45,9 Mb
Release : 2019-05-17
Category : Science
ISBN : 9783030153304

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Nonlinear Elastic and Inelastic Models for Shock Compression of Crystalline Solids by John D. Clayton Pdf

This book describes thermoelastic and inelastic deformation processes in crystalline solids undergoing loading by shock compression. Constitutive models with a basis in geometrically nonlinear continuum mechanics supply these descriptions. Large deformations such as finite strains and rotations, are addressed. The book covers dominant mechanisms of nonlinear thermoelasticity, dislocation plasticity, deformation twinning, fracture, flow, and other structure changes. Rigorous derivations of theoretical results are provided, with approximately 1300 numbered equations and an extensive bibliography of over 500 historical and modern references spanning from the 1920s to the present day. Case studies contain property data, as well as analytical, and numerical solutions to shock compression problems for different materials. Such materials are metals, ceramics, and minerals, single crystalline and polycrystalline. The intended audience of this book is practicing scientists (physicists, engineers, materials scientists, and applied mathematicians) involved in advanced research on shock compression of solid materials.

Nonlinear Photonic Crystals

Richart E. Slusher,Benjamin J. Eggleton
Nonlinear Photonic Crystals Book PDF

Author : Richart E. Slusher,Benjamin J. Eggleton
Publisher : Springer Science & Business Media
Page : 382 pages
File Size : 47,9 Mb
Release : 2013-06-29
Category : Science
ISBN : 9783662051443

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Nonlinear Photonic Crystals by Richart E. Slusher,Benjamin J. Eggleton Pdf

Nonlinear optical studies of periodic dielectric structures have blossomed in the past two decades. New fabrication techniques are producing fiber grating and multidimensional photonic crystals in materials where the refractive index can be varied by light pulses and beams. Gap solitons that can propagate at any velocity from zero to the speed of light and spatial solitons that prevent the diffractive spread of light in waveguide arrays are two examples of the new phenomena described in this book. Many new materials and structures are being developed that will impact new optical devices with applications in optical communications and optical data processing. All the above topics are addressed in detail in this book.

Nonlinear Elasticity and Theoretical Mechanics

Paul Mansour Naghdi,Anthony James Merrill Spencer,Arthur Henry England
Nonlinear Elasticity and Theoretical Mechanics Book PDF

Author : Paul Mansour Naghdi,Anthony James Merrill Spencer,Arthur Henry England
Publisher : Unknown
Page : 0 pages
File Size : 42,9 Mb
Release : 2023
Category : Elasticity
ISBN : 1383025568

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Nonlinear Elasticity and Theoretical Mechanics by Paul Mansour Naghdi,Anthony James Merrill Spencer,Arthur Henry England Pdf

Contains a set of 16 up-to-date research papers written by a number of authors covering a range of topics from thermodynamics to problems associated with crystals, linear, nonlinear and fibre-reinforced elastic materials, viscoplastic and granular materials.

Nonlinear Electromechanical Effects and Applications

G A Maugin
Nonlinear Electromechanical Effects and Applications Book PDF

Author : G A Maugin
Publisher : World Scientific Publishing Company
Page : 184 pages
File Size : 50,6 Mb
Release : 1986-01-01
Category : Electronic
ISBN : 9789813104006

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Nonlinear Electromechanical Effects and Applications by G A Maugin Pdf

The book develops a cross-disciplinary approach to the phenomenon of linear and nonlinear wave propagation in piezoelectric crystals. Based on the rigorous presentation of nonlinear continuum mechanics and electromechanical interactions in anisotropic bodies, the work starts from primary principles, is progressive and develops the subject matter by means of worked out examples up to the most recent applications in signal processing, introducing the most efficient methods of applied mathematics. The attention is especially focused on phenomena such as the formation of shocks, the generation harmonics, the anisochronism of resonators, nonlinear surface waves, the convolution of signals by means of surface-wave guides, the nonlinear couling between the crystal and deformations, the compensation between dispersion and nonlinearity. The work should be of pedagogical and practical interest to graduate students and research workers in various fields of applied science and engineering. Request Inspection Copy