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Computational Nonlinear Mechanics in Aerospace Engineering : Progress in Astronautics & Aeronautics - Satya N Atluri

Computational Nonlinear Mechanics in Aerospace Engineering

Progress in Astronautics & Aeronautics

Hardcover Published: 1992
ISBN: 9781563470448
Number Of Pages: 557

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This book describes the role of nonlinear computational modeling in the analysis and synthesis of aerospace systems with particular reference to structural integrity, aerodynamics, structural optimization, probabilistic structural mechanics, fracture mechanics, aeroelasticity, and compressible flows. Aerospace and mechanical engineers specializing in computational sciences, damage tolerant design, structures technology, aerodynamics, and computational fluid dynamics will find this text a valuable resource.

Simplified Computational Methods for Elastic and Elastic-Plastic Fracture Problemsp. 1
Introductionp. 1
Analytical Solutions for Elliptical or Circular Cracks in Isotropic or Transversely Isotropic Solids with Arbitrary Crack-Face Tractionsp. 1
Finite Element and Boundary-Element Alternating Methods for Two-Dimensional and Three-Dimensional Crack Problemsp. 13
Current State of the Art: The "Displacement-Compatibility Approach" for Cracked, Stiffened Fuselage Panelsp. 22
Multiple-Site Damage near a Row of Fastener Holesp. 29
Analysis of Cracks with Bonded Repair Patchesp. 31
Weight Functions for Two-Dimensional and Three-Dimensional Elastic Crack Problemsp. 31
Domain Integral Methods for Computing Fracture Parameters in Three-Dimensional Crack Problems, Under Arbitrary Loading Historiesp. 44
Referencesp. 54
Field-Boundary Element Method for Nonlinear Solid Mechanicsp. 59
Introductionp. 59
Large Deflections of Thin Flat Platesp. 60
Large Deformation of Shallow Shellsp. 73
Field-Boundary Element Method for the Large-Strain Analysis of Elasto-Plastic Solidsp. 82
Appendixp. 98
Referencesp. 123
Nonlinear Problems of Aeroelasticityp. 127
Introductionp. 127
Sources of Nonlinearityp. 127
Geometric Nonlinearitiesp. 128
Aerodynamic Nonlinearitiesp. 139
Concluding Remarksp. 153
Referencesp. 153
Finite Element Simulation of Compressible Flows with Shocksp. 157
Introductionp. 157
Problem Formulationsp. 158
Numerical Experimentsp. 161
Concluding Remarksp. 170
Referencesp. 172
Fast Projection Algorithm for Unstructured Meshesp. 175
Introductionp. 175
Projection Methodsp. 177
Element Searchp. 179
Numerical Resultsp. 188
Conclusionsp. 203
Referencesp. 203
Control of Numerical Diffusion in Computational Modeling of Vortex Flowsp. 205
Introductionp. 205
Perturbation Methodp. 205
Eulerian/Lagrangian Particle Trackingp. 212
Higher-Order Schemesp. 215
Zonal Methods (Embedded Grids)p. 219
Adaptive Methodsp. 226
Concluding Remarksp. 241
Referencesp. 242
Stochastic Computational Mechanics for Aerospace Structuresp. 235
Introductionp. 245
Stochastic Approach Based on the Probabilistic Finite Element Methodp. 246
Applications of the Probabilistic Finite Element Method to the Reliability Analysis of Brittle Fracture and Fatiguep. 255
Stochastic Damage Model for the Rupture Prediction of Advanced Materialsp. 266
Conclusionsp. 273
Referencesp. 274
Boundary Integral Equation Methods for Aerodynamicsp. 279
Introductionp. 279
Literature Reviewp. 280
Potential Incompressible Flows (Nonlifting Case)p. 283
Incompressible Potential Flows (Lifting Case)p. 288
Compressible Potential Flowsp. 296
Integral Formulation for Airplanes in Compressible Flowsp. 299
Integral Formulation for Arbitrary Motion in Compressible Flowsp. 302
Numerical Resultsp. 309
Concluding Remarksp. 315
Referencesp. 315
Theory and Implementation of High-Order Adaptive hp Methods for Analysis of Incompressible Viscous Flowsp. 321
Introductionp. 321
Preliminariesp. 324
hp Finite Element Approximationsp. 328
Finite Element Formulationsp. 333
High-Order, Semi-Implicit Solversp. 341
Error Estimation and Adaptivityp. 344
Numerical Experimentsp. 349
Referencesp. 359
Probabilistic Evaluation of Uncertainties and Risks in Aerospace Componentsp. 365
Nomenclaturep. 365
Introductionp. 366
Space Shuttle Main Engines: Aerospace Componentsp. 368
Probabilistic Structural Analysis Computer Code: NESSUSp. 369
Probabilistic Material Behavior Modelp. 370
Probabilistic Structural Analysis of Turbine Bladep. 371
Probabilistic Fatigue/Damage Analysisp. 381
Mistuning of Bladed Disksp. 392
Probabilistic Dynamic Analysisp. 399
Future Directionsp. 407
Concluding Remarksp. 414
Referencesp. 414
Finite Element Computation of Incompressible Flowsp. 417
Introductionp. 417
Governing Equationsp. 420
Space-Time Formulation with Galerkin/Least Squares Stabilization and Application to Moving Boundaries and Interfaces: DSD/ST Procedurep. 421
Clustered Element-by-Element (CEBE) Methodp. 425
Formulations with SUPG and PSPG Stabilizationsp. 428
Numerical Examplesp. 430
Concluding Remarksp. 440
Referencesp. 449
Dynamic Response of Rapidly Heated Space Structuresp. 451
Introductionp. 451
Historical Reviewp. 453
Analysis of Thermally Induced Flexural Oscillationsp. 462
Computational Approachp. 467
Concluding Remarksp. 473
Referencesp. 474
Computation of Viscous Compressible Flows Using an Upwind Algorithm and Unstructured Meshesp. 479
Introductionp. 479
Governing Equationsp. 481
Solution Procedurep. 488
Computational Detailsp. 488
Algorithm Validationp. 489
Turbulence Modelingp. 493
Conclusionsp. 501
Referencesp. 503
Structural Optimizationp. 507
Introductionp. 507
Basic Conceptsp. 508
Finite Element Analysis as a Basis for Optimizationp. 509
Direct Application of Optimizationp. 511
Approximation Conceptsp. 512
Status of Approximation Conceptsp. 518
Design Examplesp. 519
Summaryp. 525
Referencesp. 528
Nonlinear Aeroelasticity and Chaosp. 531
Introductionp. 531
Physical System and Its Mathematical Modelp. 531
Loss of Stability of Equilibriump. 533
Bifurcation Diagramp. 535
Numerical Simulationsp. 535
Characterization of Chaotic Responsep. 536
Conclusionsp. 545
Referencesp. 545
Author Index for Volume 146p. 547
List of Series Volumesp. 549
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9781563470448
ISBN-10: 1563470446
Series: Progress in Astronautics & Aeronautics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 557
Published: 1992
Publisher: American Institute of Aeronautics & Astronautics
Country of Publication: US
Dimensions (cm): 24.1 x 16.5  x 3.18
Weight (kg): 0.95

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