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Mechanics of Composite Structural Elements : Foundations of Engineering Mechanics - Holm Altenbach

Mechanics of Composite Structural Elements

Foundations of Engineering Mechanics

Hardcover

Published: 5th February 2004
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Laminate and sandwich structures are typical lightweight elements with rapidly ex­ panding application in various industrial fields. In the past, these structures were used primarily in aircraft and aerospace industries. Now, they have also found ap­ plication in civil and mechanical engineering, in the automotive industry, in ship­ building, the sport goods industries, etc. The advantages that these materials have over traditional materials like metals and their alloys are the relatively high specific strength properties (the ratio strength to density, etc). In addition, the laminate and sandwich structures provide good vibration and noise protection, thermal insulation, etc. There are also disadvantages - for example, composite laminates are brittle, and thejoining of such elements is not as easy as with classical materials. The recycling of these materials is also problematic, and a viable solution is yet to be developed. Since the application of laminates and sandwiches has been used mostly in new technologies, governmental and independent research organizations, as well as big companies, have spent a lot of money for research. This includes the development of new materials by material scientists, new design concepts by mechanical and civil engineers as well as new testing procedures and standards. The growing de­ mands of the industry for specially educated research and practicing engineers and material scientists have resulted in changes in curricula of the diploma and master courses. More and more universities have included special courses on laminates and sandwiches, and training programs have been arranged for postgraduate studies.

Classification of Composite Materialsp. 1
Definition and Characteristicsp. 2
Significance and Objectivesp. 7
Modellingp. 8
Material Characteristics of the Constituentsp. 11
Advantages and Limitationsp. 13
Problemsp. 14
Linear Anisotropic Materialsp. 15
Generalized Hooke's Lawp. 16
Stresses, Strains, Stiffness, and Compliancesp. 17
Transformation Rulesp. 23
Symmetry Relations of Stiffness and Compliance Matricesp. 27
Two-dimensional Material Equationsp. 40
Curvilinear anisotropyp. 45
Problemsp. 48
Fundamental Equations and Variational Solution Proceduresp. 52
Boundary and Initial-Boundary Value Equationsp. 53
Principle of Virtual Work and Energy Formulationsp. 57
Variational Methodsp. 62
Problemsp. 68
Effective Material Moduli for Compositesp. 77
Elementary Mixture Rules for Fibre-Reinforced Laminaep. 78
Effective Densityp. 79
Effective Longitudinal Modulus of Elasticityp. 79
Effective Transverse Modulus ofElasticityp. 80
Effective Poisson's Ratiop. 81
Effective In-plane Shear Modulusp. 82
Discussion on the Elementary Mixture Rulesp. 83
ImprovedFormulas for Effective Moduli ofCompositesp. 84
Problemsp. 86
Elastic Behavior of Laminate and Sandwich Compositesp. 91
Elastic Behavior ofLaminaep. 91
On-axis Stiffness and Compliances of UD-Laminaep. 92
Off-axis Stiffness and Compliances of UD-Laminaep. 97
Stress Resultants and Stress Analysisp. 106
Problemsp. 113
Elastic Behavior ofLaminatesp. 119
General Laminatesp. 120
Stress-Strain Relations and Stress Resultantsp. 122
Laminates with Special Laminae Stacking Sequencesp. 129
Stress Analysisp. 140
Thermal and Hygroscopic Effectsp. 143
Problemsp. 148
Elastic Behavior ofSandwichesp. 153
General Assumptionsp. 154
Stress Resultants and Stress Analysisp. 155
Sandwich Materials with Thick CoverSheetsp. 157
Problemsp. 158
Classical and Improved Theoriesp. 161
General Remarksp. 161
Classical Laminate Theoryp. 165
Shear Deformation Theory for Laminates and Sandwichesp. 171
Layerwise Theoriesp. 176
Problemsp. 177
Failure Mechanisms and Criteriap. 183
Fracture Modes of Laminaep. 184
Failure Criteriap. 188
Problemsp. 200
Modelling and Analysis of Beamsp. 205
Introductionp. 205
Classical Beam Theoryp. 207
Shear Deformation Theoryp. 220
Sandwich Beamsp. 226
Stresses and Strains for symmetrical cross-sectionsp. 227
Stresses and strains for non-symmetrical cross-sectionsp. 231
Governing Sandwich beam equationsp. 232
Hygrothermo-Elastic Effects on Beamsp. 236
Analytical Solutionsp. 237
Problemsp. 239
Modelling and Analysis of Platesp. 251
Introductionp. 252
Classical Laminate Theoryp. 252
Shear Deformation Theoryp. 267
Sandwich Platesp. 273
Hygrothermo-Elastic Effects on Platesp. 275
Analytical Solutionsp. 278
Classical Laminate Theoryp. 278
Shear Deformation Laminate Theoryp. 291
Problemsp. 298
Modelling and Analysis of Circular Cylindrical Shellsp. 315
Introductionp. 316
Classical Shell Theoryp. 317
General Casep. 317
Specially Orthotropic Circular Cylindrical Shells Subjected by Axial Symmetric Loadsp. 320
Membrane and Semi-membrane theoriesp. 324
Shear Deformation Theoryp. 325
Sandwich Shellsp. 333
Problemsp. 334
Modelling and Analysis of Thin-walled Folded Structuresp. 339
Introductionp. 340
Generalized Beam Modelsp. 343
Basic Assumptionsp. 344
Potential Energy of the Folded Structurep. 346
Reduction of the Two-dimensional Problemp. 347
Simplified Structural Modelsp. 352
An Efficient Structure Model for the Analysis of General Prismatic beam Shaped Thin-walled Plate Structuresp. 358
Free Eigen-vibration Analysis, Structure model Ap. 359
Solution Proceduresp. 361
Analytical Solutionsp. 362
Transfer Matrix Methodp. 363
Problemsp. 369
Finite Element Analysisp. 377
Introductionp. 378
FEM Procedurep. 378
Problemsp. 381
Finite Beam Elementsp. 383
Laminate Truss Elementsp. 383
Laminate Beam Elementsp. 385
Problemsp. 391
Finite Plate Elementsp. 393
Classical Laminate Theoryp. 397
Shear Deformation Theoryp. 399
Generalized Finite Beam Elementsp. 404
Foundationsp. 405
Element Definitionsp. 405
Element Equationsp. 407
System Equations and Solutionp. 411
Equations for the Free Vibration Analysisp. 412
Numerical Resultsp. 413
Laminate Shell Elements in the Program System COS-MOS/Mp. 413
Examples for the use of Laminated Shell Elementsp. 417
Examples of the use of Generalized beam Elementsp. 431
Matrix Operationsp. 435
Definitionsp. 435
Special Matricesp. 436
Matrix Algebra and Analysisp. 437
Stress and strain transformationsp. 441
Differential Operators for Rectangular Plates (Classical Plate Theory)p. 443
Differential Operators for Rectangular Plates (Shear Deformation Theory)p. 445
Differential Operators for Circular Cylindrical shells (Classical Shell Theory)p. 447
Differential Operators for Circular Cylindrical Shells (Shear Deformation Theory)p. 449
Solution Forms of the Differential Equation $$$$ = 0p. 451
Material's propertiesp. 453
Referencesp. 459
Selected Textbooks and Monographs on Composite Mechanicsp. 459
Supplementary Literature for Further Readingp. 462
Selected Review Articlesp. 463
Indexp. 465
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783540408659
ISBN-10: 3540408657
Series: Foundations of Engineering Mechanics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 470
Published: 5th February 2004
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.5 x 15.5  x 2.54
Weight (kg): 1.9