• Fri frakt över 249 kr
  • •
  • Snabba leveranser
  • •
  • Billiga böcker
Kundservice

Du är på sajten för privatpersoner.

Företag, bibliotek eller offentlig verksamhet?

Du handlar på classic.bokus.com, där alla dina funktioner finns intakta.
Till classic.bokus.com
Bokus logotyp. Gå till startsidan.
  • Erbjudanden
  • Nyheter
  • Student
  • Topplistor
  • Barn & ungdom
  • Bokus Play
  • E-böcker
  • Pocketböcker
  • Spel & pussel

10% rabatt på allt med kod NYSTART10 →

Sidfot

Mina sidor

    Hjälp

    • Kundservice
    • Vanliga frågor och svar
    • Frakt och leverans
    • Retur vid ångerrätt
    • Reklamera vara
    • Betalning
    • Köpvillkor
    • Allmänna villkor
    • Information om webbplatsens tillgänglighet

    Om Bokus

    • Om oss
    • Pressrum
    • För studenter
    • För företag
    • För bibliotek och offentlig verksamhet
    • För leverantörer
    • Hållbarhet

    Populärt

    • Aktuella erbjudanden
    • Presentkort
    • Studentlitteratur
    • Nya böcker
    • Topplistor
    • Signerade böcker
    • Engelska böcker

    Inspiration

    • Boktips
    • BookTok
    • Populära bokserier
    • Barnbokskaraktärer
    • Populära författare
    Logotyp för Bokus
    Följ oss på Facebook (extern länk)Följ oss på Instagram (extern länk)Följ oss på YouTube (extern länk)Följ oss på TikTok (extern länk)
    bokus @ CookiesAnpassa cookiesIntegritetspolicyKöpvillkor
    Till Citymail hemsida (extern länk)Till Budbee hemsida (extern länk)Till Postnord hemsida (extern länk)Till Schenker hemsida (extern länk)Till Early Bird hemsida (extern länk)Till Walleys hemsida (extern länk)
    1. Data och IT
    2. Affärsapplikationer

    Micromechanics with Mathematica

    AvSeiichi Nomura

    Inbunden, Engelska, 2016

    1 266 kr

    Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

    Fler format och utgåvor

    E-bok

    1 451 kr

    E-bok

    1 451 kr

    Beskrivning

    Demonstrates the simplicity and effectiveness of Mathematica as the solution to practical problems in composite materials.Designed for those who need to learn how micromechanical approaches can help understand the behaviour of bodies with voids, inclusions, defects, this book is perfect for readers without a programming background. Thoroughly introducing the concept of micromechanics, it helps readers assess the deformation of solids at a localized level and analyse a body with microstructures. The author approaches this analysis using the computer algebra system Mathematica, which facilitates complex index manipulations and mathematical expressions accurately.The book begins by covering the general topics of continuum mechanics such as coordinate transformations, kinematics, stress, constitutive relationship and material symmetry. Mathematica programming is also introduced with accompanying examples. In the second half of the book, an analysis of heterogeneous materials with emphasis on composites is covered.Takes a practical approach by using Mathematica, one of the most popular programmes for symbolic computation Introduces the concept of micromechanics with worked-out examples using Mathematica code for ease of understandingLogically begins with the essentials of the topic, such as kinematics and stress, before moving to more advanced areasApplications covered include the basics of continuum mechanics, Eshelby's method, analytical and semi-analytical approaches for materials with inclusions (composites) in both infinite and finite matrix media and thermal stresses for a medium with inclusions, all with Mathematica examplesFeatures a problem and solution section on the book’s companion website, useful for students new to the programme

    Produktinformation

    • Utgivningsdatum:2016-05-06
    • Mått:175 x 252 x 18 mm
    • Vikt:590 g
    • Format:Inbunden
    • Språk:Engelska
    • Antal sidor:288
    • Förlag:John Wiley & Sons Inc
    • ISBN:9781119945031

    Utforska kategorier

    • Affärsapplikationer inom Data och IT
    • Maskinteknik och material inom Naturvetenskap och teknik

    Mer om författaren

    Seiichi Nomura, The University of Texas at Arlington, USAProfessor Nomura studied his BSc and MSc at the University of Tokyo, Japan before completing his PhD at the University of Delaware. He is now Professor in the Department of Mechanical and Aerospace Engineering at the University of Texas at Arlington, USA. Professor Nomura has undertaken research on the analysis of mechanical and thermal properties of heterogeneous materials including composite materials and functionally graded materials (FGMs) and has published extensively in this area.

    Innehållsförteckning

    • Preface ixAbout the Companion Website xi1 Coordinate Transformation and Tensors 11.1 Index Notation 11.1.1 Some Examples of Index Notation in 3-D 31.1.2 Mathematica Implementation 31.1.3 Kronecker Delta 61.1.4 Permutation Symbols 91.1.5 Product of Matrices 101.2 Coordinate Transformations (Cartesian Tensors) 111.3 Definition of Tensors 131.3.1 Tensor of Rank 0 (Scalar) 131.3.2 Tensor of Rank 1 (Vector) 141.3.3 Tensor of Rank 2 151.3.4 Tensor of Rank 3 171.3.5 Tensor of Rank 4 171.3.6 Differentiation 191.3.7 Differentiation of Cartesian Tensors 201.4 Invariance of Tensor Equations 211.5 Quotient Rule 221.6 Exercises 23References 242 Field Equations 252.1 Concept of Stress 252.1.1 Properties of Stress 292.1.2 (Stress) Boundary Conditions 302.1.3 Principal Stresses 312.1.4 Stress Deviator 352.1.5 Mohr’s Circle 382.2 Strain 402.2.1 Shear Deformation 472.3 Compatibility Condition 492.4 Constitutive Relation, Isotropy, Anisotropy 502.4.1 Isotropy 522.4.2 Elastic Modulus 542.4.3 Orthotropy 562.4.4 2-D Orthotropic Materials 572.4.5 Transverse Isotropy 572.5 Constitutive Relation for Fluids 582.5.1 Thermal Effect 582.6 Derivation of Field Equations 592.6.1 Divergence Theorem (Gauss Theorem) 592.6.2 Material Derivative 602.6.3 Equation of Continuity 622.6.4 Equation of Motion 622.6.5 Equation of Energy 632.6.6 Isotropic Solids 652.6.7 Isotropic Fluids 652.6.8 Thermal Effects 662.7 General Coordinate System 662.7.1 Introduction to Tensor Analysis 662.7.2 Definition of Tensors in Curvilinear Systems 682.7.3 Metric Tensor10, gij 692.7.4 Covariant Derivatives 702.7.5 Examples 732.7.6 Vector Analysis 752.8 Exercises 77References 803 Inclusions in Infinite Media 813.1 Eshelby’s Solution for an Ellipsoidal Inclusion Problem 823.1.1 Eigenstrain Problem 853.1.2 Eshelby Tensors for an Ellipsoidal Inclusion 873.1.3 Inhomogeneity (Inclusion) Problem 953.2 Multilayered Inclusions 1043.2.1 Background 1043.2.2 Implementation of Index Manipulation in Mathematica 1053.2.3 General Formulation 1083.2.4 Exact Solution for Two-Phase Materials 1163.2.5 Exact Solution for Three-Phase Materials 1233.2.6 Exact Solution for Four-Phase Materials 1323.2.7 Exact Solution for 2-D Multiphase Materials 1373.3 Thermal Stress 1373.3.1 Thermal Stress Due to Heat Source 1383.3.2 Thermal Stress Due to Heat Flow 1463.4 Airy’s Stress Function Approach 1553.4.1 Airy’s Stress Function 1563.4.2 Mathematica Programming of Complex Variables 1613.4.3 Multiphase Inclusion Problems Using Airy’s Stress Function 1633.5 Effective Properties 1723.5.1 Upper and Lower Bounds of Effective Properties 1733.5.2 Self-Consistent Approximation 1753.5.3 Source Code for micromech.m 1783.6 Exercises 188References 1894 Inclusions in Finite Matrix 1914.1 General Approaches for Numerically Solving Boundary Value Problems 1924.1.1 Method of Weighted Residuals 1924.1.2 Rayleigh–Ritz Method 2034.1.3 Sturm–Liouville System 2054.2 Steady-State Heat Conduction Equations 2134.2.1 Derivation of Permissible Functions 2134.2.2 Finding Temperature Field Using Permissible Functions 2274.3 Elastic Fields with Bounded Boundaries 2324.4 Numerical Examples 2384.4.1 Homogeneous Medium 2384.4.2 Single Inclusion 2404.5 Exercises 251References 252Appendix A Introduction to Mathematica 253A.1 Essential Commands/Statements 255A.2 Equations 256A.3 Differentiation/Integration 260A.4 Matrices/Vectors/Tensors 260A.5 Functions 262A.6 Graphics 263A.7 Other Useful Functions 265A.8 Programming in Mathematica 267A.8.1 Control Statements 268A.8.2 Tensor Manipulations 270References 272Index 273