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Record Nr. |
UNINA9910483079903321 |
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Autore |
Hwu Chyanbin |
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Titolo |
Anisotropic elasticity with Matlab / / Chyanbin Hwu |
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Pubbl/distr/stampa |
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Cham, Switzerland : , : Springer, , [2021] |
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©2021 |
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ISBN |
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Descrizione fisica |
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1 online resource (913 pages) |
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Collana |
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Solid Mechanics and Its Applications ; ; v.267 |
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Disciplina |
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Soggetti |
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Anisotropy - Mathematical models |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Intro -- Preface -- Reference -- Contents -- 1 Anisotropic Elasticity -- 1.1 Theory of Elasticity -- 1.2 Linear Anisotropic Elastic Materials -- 1.2.1 Three-Dimensional Constitutive Relations -- 1.2.2 Two-Dimensional Constitutive Relations -- 1.2.3 Laminate Constitutive Relations -- 1.3 Thermoelastic Problems -- 1.4 Piezoelectric Materials -- References -- 2 Complex Variable Formalism -- 2.1 Two-Dimensional Analysis -- 2.1.1 Lekhnitskii Formalism -- 2.1.2 Stroh Formalism -- 2.1.3 Extended Stroh Formalism for Thermoelastic Problems -- 2.1.4 Expanded Stroh Formalism for Piezoelectric Materials -- 2.2 Plate Bending Analysis -- 2.2.1 Lekhnitskii Bending Formalism -- 2.2.2 Stroh-Like Bending Formalism -- 2.3 Coupled Stretching-Bending Analysis -- 2.3.1 Stroh-Like Formalism -- 2.3.2 Extended Stroh-Like Formalism for Thermal Stresses in Laminates -- 2.3.3 Expanded Stroh-Like Formalism for Electro-Elastic Laminates -- 2.4 Explicit Expressions -- 2.4.1 Fundamental Elasticity Matrix N -- 2.4.2 Material Eigenvector Matrices A and B -- 2.4.3 Barnett-Lothe Tensors S, H and L -- 2.5 General Remarks -- 2.5.1 Degeneracy of Material Eigenvectors -- 2.5.2 Units, Scaling Factors, and Dimensions -- 2.5.3 Sign Convention -- 2.5.4 Common Symbols -- 2.5.5 Extended Symbols -- References -- 3 Computer Program with Matlab -- 3.1 Program Structures -- 3.1.1 Computational Procedure -- 3.1.2 Control Parameters -- 3.1.3 Global Variables -- 3.1.4 Input -- 3.1.5 Output -- 3.2 Main Program and Functions -- 3.2.1 Main Program -- 3.2.2 Function Description -- 3.3 Input and Calculation of Material Properties |
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-- 3.3.1 Function-elastic -- 3.3.2 Function-thermal -- 3.3.3 Function-piezoM -- 3.4 Calculation of Material Eigenvalues and Eigenvectors -- 3.4.1 Function-material_eigen -- 3.4.2 Function-thermal_eigen -- 3.5 Calculation of Analytical Solutions. |
3.5.1 Function-internal, positionTime -- 3.5.2 Function-uphi_bank -- 3.6 Functions for Double Check -- 3.6.1 Function-piezo2, piezoM2 -- 3.6.2 Function-fundamental_N -- 3.6.3 Function-eigen_muAB -- 3.6.4 Function-identities -- 3.7 Functions for Output -- 3.7.1 Function-output_caption -- 3.7.2 Function-printTF -- 3.7.3 Function-TableFig, TableFig3D -- 3.8 Examples -- 3.8.1 Elastic Properties -- 3.8.2 Thermal Properties -- 3.8.3 Piezoelectric Properties -- References -- 4 Infinite Space, Half Space and Bi-materials -- 4.1 Infinite Space -- 4.1.1 Uniform Load-s411infUL -- 4.1.2 Inplane Bending-s412infIB -- 4.1.3 Point Force-s413infPF -- 4.1.4 Point Moment-s414infPM -- 4.1.5 Dislocation-s415infDL -- 4.2 Half Space -- 4.2.1 Point Force-s421halfPF -- 4.2.2 Point Force on Surface-s422halfPFs -- 4.2.3 Distributed Load-s423halfDT -- 4.2.4 Point Moment-s424halfPM -- 4.2.5 Dislocation-s425halfDL -- 4.3 Bi-materials -- 4.3.1 Point Force and Dislocation-s431bimatPFD -- 4.3.2 Point Force and Dislocation on the Interface-s432bimatPFDi -- 4.4 Functions for Common Use -- 4.4.1 Function-Stroh_matrices -- 4.4.2 Function-Gauss -- 4.5 Examples -- 4.5.1 Infinite Space -- 4.5.2 Half Space -- 4.5.3 Bi-materials -- References -- 5 Wedges and Interface Corners -- 5.1 Uniform Tractions on the Wedge Sides -- 5.1.1 Non-critical Wedge Angles -- 5.1.2 Critical Wedge Angles-s512wedgeUT -- 5.2 Forces at the Wedge Apex -- 5.2.1 A Single Wedge Under a Point Force-s521wedgePF -- 5.2.2 A Single Wedge Under a Point Moment-s522wedgePM -- 5.2.3 Multi-material Wedge Spaces-s523MwedgePFD -- 5.2.4 Multi-material Wedges-s524MwedgePF -- 5.3 Stress Singularities -- 5.3.1 Multi-material Wedge Spaces -- 5.3.2 Multi-material Wedges -- 5.3.3 Eigenfunctions-s533MwedgeSOE -- 5.4 Stress Intensity Factors -- 5.4.1 Near Tip Field Solutions -- 5.4.2 Unified Definition-s542MwedgeNTS. |
5.4.3 H-Integral for 2D Interface Corners-s543MwedgeSIF2d -- 5.4.4 H-Integral for 3D Interface Corners-s544MwedgeSIF3d -- 5.5 Functions for Common Use -- 5.5.1 Function-multiwedge -- 5.5.2 Function-muller -- 5.5.3 Function-s5_ut -- 5.5.4 Function-MLS -- 5.6 Examples -- 5.6.1 Single Wedge -- 5.6.2 Multi-material Wedges -- 5.6.3 Interface Corners -- References -- 6 Holes -- 6.1 Elliptical Holes -- 6.1.1 Uniform Load at Infinity-s611EholeUL -- 6.1.2 In-plane Bending at Infinity-s612EholeIB -- 6.1.3 Arbitrary Load Along the Hole Boundary-s613EholeAL -- 6.1.4 Point Force at an Arbitrary Location-s614EholePF -- 6.1.5 Dislocation at an Arbitrary Location-s615EholeDL -- 6.2 Polygon-Like Holes -- 6.2.1 Transformation Function -- 6.2.2 Uniform Load at Infinity-s622PholeUL -- 6.2.3 In-plane Bending at Infinity-s623PholeIB -- 6.3 Functions for Common Use -- 6.3.1 Function-mapEP -- 6.3.2 Function-logBranch -- 6.4 Examples -- 6.4.1 Elliptical Holes -- 6.4.2 Polygon-Like Holes -- References -- 7 Cracks -- 7.1 Singular Characteristics of Cracks -- 7.1.1 Cracks in Homogeneous Materials-s711crackNTS -- 7.1.2 Interfacial Cracks-s712IFcrackNTS -- 7.1.3 Cracks Terminating at the Interfaces-s713crackTI -- 7.2 A Finite Straight Crack -- 7.2.1 Uniform Load at Infinity-s721crackUL -- 7.2.2 In-plane Bending at Infinity-s722crackIB -- 7.2.3 Arbitrary Load on the Crack Surfaces-s723crackAL -- 7.2.4 Point Force at Arbitrary Location-s724crackPF -- 7.2.5 Dislocation at Arbitrary Location-s725crackDL -- 7.3 Collinear Cracks -- 7.3.1 General Solutions -- 7.3.2 Two Collinear Cracks-s732CO2crackUL -- 7.3.3 Collinear Periodic Cracks-s733COPcrackUL -- 7.4 Collinear |
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Interface Cracks -- 7.4.1 General Solutions-s741IFcrack -- 7.4.2 Semi-infinite Interface Crack-s742SIFcrackPFs -- 7.4.3 Finite Interface Crack-s743_1IFcrackPFs, S743_2IFcrackUL. |
7.4.4 Two Collinear Interface Cracks-s744CO2IFcrackUL -- 7.5 Examples -- 7.5.1 Near Tip Solutions -- 7.5.2 Finite Straight Crack -- 7.5.3 Collinear Cracks -- 7.5.4 Collinear Interface Cracks -- References -- 8 Inclusions -- 8.1 Elliptical Elastic Inclusions -- 8.1.1 Uniform Load at Infinity-s811EEincluUL -- 8.1.2 A Point Force at the Matrix-s812EEincluPFm -- 8.2 Rigid Inclusions -- 8.2.1 Elliptical Rigid Inclusions-s821_1ERincluUL, s821_2ERincluPF -- 8.2.2 Rigid Line Inclusions-s822_1RLincluUL -- 8.2.3 Polygon-Like Rigid Inclusions-s823PRincluUL -- 8.3 Interactions Between Inclusions and Dislocations -- 8.3.1 Dislocations Outside the Inclusions-s831EEincluDLo -- 8.3.2 Dislocations Inside the Inclusions-s832EEincluDLi -- 8.3.3 Dislocations on the Interfaces-s833EEincluDLf -- 8.4 Interactions Between Inclusions and Cracks -- 8.4.1 Cracks Outside the Inclusions-s841EEincluCo -- 8.4.2 Cracks Inside the Inclusions-s842EEincluCi -- 8.4.3 Cracks Penetrating the Inclusions-s843EEincluCp -- 8.4.4 Curvilinear Cracks Lying Along the Interfaces-s844EEincluCc -- 8.5 Functions for Common Use -- 8.5.1 Function-TGCEF -- 8.5.2 Function-Gauss_elimination -- 8.5.3 Function-s84_CoeffUniform -- 8.5.4 Function-s84_abcEFG -- 8.5.5 Function-s84_Kt -- 8.5.6 Function-s84_F12 -- 8.5.7 Function-s84_Kbeta -- 8.5.8 Function-s84_uphi -- 8.6 Examples -- 8.6.1 Elliptical Elastic Inclusions -- 8.6.2 Rigid Inclusions -- 8.6.3 Inclusions and Dislocations -- 8.6.4 Inclusions and Cracks -- References -- 9 Contact Problems -- 9.1 Rigid Punches on a Half-Plane -- 9.1.1 General Solutions -- 9.1.2 A Flat-Ended Punch Indented by a Load-s912FpunchL -- 9.1.3 A Flat-Ended Punch Tilted by a Moment-s913FpunchM -- 9.1.4 A Parabolic Punch Indented by a Load-s914PpunchL -- 9.2 Rigid Stamp Indentation on a Curvilinear Hole Boundary -- 9.2.1 General Solutions. |
9.2.2 Elliptical Hole Boundaries-s922Estamp -- 9.2.3 Polygonal Hole Boundaries-s923Pstamp -- 9.3 Rigid Punches on a Perturbed Surface -- 9.3.1 Straight Boundary Perturbation -- 9.3.2 Elliptical Boundary Perturbation -- 9.3.3 Illustrative Examples-s933_1Cpunch, s933_2Tstamp -- 9.4 Sliding Punches with or without Friction -- 9.4.1 General Solutions -- 9.4.2 A Sliding Wedge-Shaped Punch-s942SWpunch -- 9.4.3 A Sliding Parabolic Punch-s943SPpunch -- 9.4.4 Two Sliding Flat-Ended Punches-s944S2punch -- 9.5 Contact Between Two Elastic Bodies -- 9.5.1 Contact in the Presence of Friction-s951P2Fcontact -- 9.5.2 Contact in the Absence of Friction-s952P2contact -- 9.5.3 Contact in Complete Adhesion -- 9.6 Functions for Common Use -- 9.6.1 Function-s9_delLam -- 9.6.2 Function-s9_fzp -- 9.6.3 Function-s9_uphi -- 9.6.4 Function-s9_Plemelj -- 9.7 Examples -- 9.7.1 Rigid Punches on a Half-Plane -- 9.7.2 Rigid Stamp Indentation on a Curvilinear Hole Boundary -- 9.7.3 Rigid Punches on a Perturbed Surface -- 9.7.4 Sliding Punches with or without Friction -- 9.7.5 Contact Between Two Elastic Bodies -- References -- 10 Thermoelastic Problems -- 10.1 Extended Stroh Formalism -- 10.2 Holes and Cracks -- 10.2.1 Elliptical Holes Under Uniform Heat Flow-s1021EholeUH -- 10.2.2 Cracks Under Uniform Heat Flow-s1022crackUH -- 10.3 Rigid Inclusions -- 10.3.1 Elliptical Rigid Inclusions Under Uniform Heat Flow-s1031ERincluUH -- 10.3.2 Rigid Line Inclusions Under Uniform Heat Flow-s1032RLincluUH -- 10.4 Collinear Interface Cracks -- 10.4.1 General Solutions -- 10.4.2 Uniform Heat Flow-s1042IFcrackUH -- 10.5 Multi-material Wedges -- 10.5.1 Stress and Heat Flux Singularity -- 10.5.2 Eigenfunctions-s1052MwedgeTH -- 10.6 Function for Common Use -- 10.6.1 |
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Function-s10_gamma -- 10.7 Examples -- 10.7.1 Holes, Cracks and Inclusions -- 10.7.2 Multi-material Wedges -- References. |
11 Piezoelectric and Magneto-Electro-Elastic Materials. |
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