Multiscale Structural Mechanics

Top-Down Modeling of Composite Structures Using Mechanics of Structure Genome

Inbunden, Engelska, 2026

1 489 kr

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Master composites modelling with this insightful and authoritative resource from a leading voice in the field Multiscale Structural Mechanics: Top-Down Modeling of Composite Structures Using Mechanics of Structure Genome delivers a unified approach to composites modelling based on the concept of structure gene. Dr. Wenbin Yu, distinguished engineer, industry leader, and author, brings together micromechanics and structural mechanics using the Mechanics of Structure Genome. This approach allows multiscale constitutive modelling for general anisotropic and heterogeneous materials and structures without invoking assumptions commonly used in other approaches. The book introduces readers unfamiliar with vectors and tensors, continuum mechanics, micromechanics, and structural mechanics to the basics of each of these topics. It goes on to bridge the gap between micromechanics and structural mechanics, offering readers multiscale structural models that remain as simple as classical engineering models but with the accuracy expected of more complex theories capturing microstructural details. Specifically, the book offers: A brief introduction to vectors and tensors, as well as continuum mechanics, classical structural models including kinematics, kinetics, and energetics, and composite materialsFulsome discussions of the mechanics of structure genome (MSG) and its application to construct multiscale models for beams, plates, shells, and 3D solidsComplete explorations of both micromechanics and structural mechanics, including the theories of beams, plates, and shellsAn introduction to the calculus of variations, variational asymptotic method, and their applications to model general anisotropic and heterogeneous materials and structuresInformation sufficient to allow readers to construct efficient high-fidelity models for composites using MSG introduced in this bookDetailed discussions of stress and failure analysis of composite laminates Perfect for graduate students in aerospace, mechanical, and other disciplines making use of anisotropic and heterogeneous materials such as composites, Multiscale Structural Mechanics will also earn a place in the libraries of researchers and engineers in university, government, and industry laboratories who work with composite materials and structures. It is the ideal resource for composites modelling across a wide spectrum of engineering applications.

Produktinformation

Utgivningsdatum2026-01-22
Mått178 x 246 x 33 mm
Vikt953 g
FormatInbunden
SpråkEngelska
Antal sidor464
FörlagJohn Wiley & Sons Inc
ISBN9781119092674

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List of Figures xvList of Tables xxiForeword xxiiiPreface xxvAcknowledgments xxxiAcronyms xxxiii1 Introduction 11.1 Continuum Hypothesis 11.2 Isotropic vs. Anisotropic Materials 41.3 Homogeneous vs. Heterogeneous Materials 41.4 Materials vs. Structures 41.5 3D Structures, Plates, Shells, and Beams 61.6 Structures, Models, and Assumptions 81.7 Composite Materials 201.8 Benefits of Using Composites 241.9 Mechanics of Composite Materials 251.10 Challenges for Modeling Composites 261.11 Multiscale Modeling* 282 Mathematical Preliminaries 432.1 Scalars, Vectors, and Tensors 432.2 Cartesian Coordinate System 442.3 Index Notation 442.4 Vectors 482.5 Transformation Between Different Coordinate Systems 522.6 Second-order Tensors 552.7 Quotient Rule and Higher-order Tensors 602.8 Special Tensors 612.9 Isotropic Tensors 622.10 Tensor Calculus 622.11 General Coordinate Systems* 632.12 Calculus of Variations* 733 Theory of Anisotropic Elasticity 1033.1 Kinematics 1033.2 Kinetics 1093.3 Constitutive Relations 1143.4 Theory of Linear Elasticity 1473.5 Boundary Conditions and Continuity Conditions 1493.6 A Few Anisotropic Elasticity Problems 1513.7 Variational Principles for Anisotropic Elasticity* 1734 Micromechanics 1874.1 Introduction 1874.2 Microstructures and Their Idealizations 1884.3 Volume Average 1924.4 Effective Stiffness and Compliance 1924.5 Voigt and Reuss Rules of Mixtures 1934.6 Hybrid Rules of Mixtures 2024.7 Macro and Micro Coordinates* 2094.8 Average Stress Theorem* 2104.9 Average Strain Theorem* 2114.10 Hill–Mandel Macro-homogeneity Condition* 2134.11 Computational Homogenization* 2165 Composite Plate Models 2335.1 Introduction 2335.2 Composite Laminates 2345.3 Why Composite Plate Theories? 2365.4 Kirchhoff–Love Model Derived Using the Newtonian Method 2385.5 Reissner–Mindlin Model* 2885.6 MSG-based Composite Plate Models* 2926 Composite Beam Models* 3016.1 Introduction 3016.2 Ad Hoc Methods 3036.3 Beam Models Derived Using MSG 3196.4 A Few Composite Beam Problems 3287 Mechanics of Structure Genome* 3377.1 Introduction 3387.2 Kinematics 3397.3 Variational Statement for SG 3497.4 MSG Illustrated 3537.5 Numerical Examples 3598 Failure of Composite Materials 3718.1 Introduction 3718.2 Failure Criteria for Isotropic Materials 3748.3 Failure Criteria for Orthotropic Materials 3828.4 Strength Ratio 3998.5 Failure Envelope 4038.6 Progressive Failure Analysis 4068.7 Nonlocal Approach for Computing Strength 408Problems 409References 413Index 421