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Finite element analysis for engineering design

Author: J N Reddy; C S Krishnamoorthy; K N Seetharamu
Publisher: Berlin ; New York : Springer-Verlag, ©1988.
Series: Lecture notes in engineering, 37.
Edition/Format:   Print book : EnglishView all editions and formats

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Additional Physical Format: Online version:
Finite element analysis for engineering design.
Berlin ; New York : Springer-Verlag, ©1988
Document Type: Book
All Authors / Contributors: J N Reddy; C S Krishnamoorthy; K N Seetharamu
ISBN: 0387194835 9780387194837 3540194835 9783540194835
OCLC Number: 18136176
Description: xv, 868 pages : illustrations ; 25 cm.
Contents: 1. A Review of the Equations of Mechanics.- Classification of Equations.- Descriptions of Motion.- Strains and Strain-Displacement Relations.- Compatibility Equations.- Stress and Equations of Motion and Equilibrium.- Constitutive Relations.- Equations of Linear Elasticity.- Biographical Sketch.- 2. Variational Formulations and Methods.- The Variational Operator.- Principle of Virtual Displacements.- The Principle of Virtual Forces.- Incremental Variational Formulations of Nonlinear Problems.- Variational Methods of Approximation.- 3. An Introduction to the Finite Element Method.- One-Dimensional Problems.- Two-Dimensional Problems.- Closure.- 4. Interpolation, Simple Elements, Convergence, Stress Calculation.- A Piecewise Polynomial field.- Finite Element Form of the Rayleigh-Ritz Method.- Interpolation.- Shape Functions for C0 Elements.- Shape Functions for C1 Elements.- Formulas for Element Matrices [k] and {re}.- Overivew of Element Stiffness Matrices.- Consistent Element Nodal Loads {re}.- Equilibrium and Compatibility in the Solution.- Convergence Requirements.,.- The Patch Test.- Stress Calculation.- References.- Symbols.- Biographical Sketch.- 5. The Isoparametric Formulation.- An Isoparametric Bar Element.- Plane Bilinear Isoparametric Element.- Summary of Gauss Quadrature.- Computer Subroutines for the Bilinear Element.- Quadratic Plane Elements.- Hexahedral (Solid) Isoparametric Elements.- The Validity of Isoparametric Elements.- Appropriate Order of Quadrature.- Element and Mesh Instabilities.- Remarks on Stress Computation.- Examples. Effect of Element Geometry.- References l58.- 6. Constraints.- Constraints. Transformations.- Lagrange Multipliers.- Penalty Functions.- Naturally Arising Penalty Formulations. Numerical Integration and Constraints.- Constraint Counting.- References.- 7. Remarks About Modeling.- References.- 8. Three-Dimensional Finite Element Models.- 3-D Solid Elements.- Eight-Noded Isoparametric Element.- Twenty-Noded Isoparametric Element.- Element Load Vector.- Computation of Stresses.- 30 Solid Elements for Concrete Structures Analysis.- Applications.- References.- 9. Geometric Nonlinear Analysis of Framed Structures.- Strain-Displacement Relationship.- Types of Formulation/Coordinate Systems.- Generalized Approach - Total Lagrangian Formulation.- Case Studies and Discussion.- Discussion.- References.- 10. Two-Dimensional Theories of Plates.- A Review of Literature.- Classical and First-Order Plate Theories.- Mixed Formulation of the Third-Order Theory.- Moderate Rotation Plate Theories.- References.- 11. Solution of Nonlinear Equations.- Governing Equations.- Solution Procedures.- Newton-Like Methods.- Accelerators and Line Search.- References.- 12. Dynamics of Structures: Fundamentals.- Finite Element Formulation.- Modal Analysis.- Structural Damping.- Consistent and Lumped Mass Models.- References.- 13. Dynamics of Structures: Solution Techniques.- Solution of First-Order Parabolic Systems.- Solution of the Structural Dynamics Equations.- Recent Developments in Time Integration 33l.- References.- 14. Mechanics of Composite Structures.- Definitions and Terminology.- Stress-Strain Relations for Laminates.- Classical and First-Order Laminate Theories.- Special Cases of Lamination Schemes.- A General Laminate Plate Theory.- References.- 15. Analysis Of Laminated Composite Structures.- Analytical Solutions of Classical and First-Order Theories.- Analytical Solutions of the Third-Order Theory.- Analytical Solutions of the Generalized Laminate Theory.- Finite-Element Models of 2-D Plate Theories.- Degenerate 3-D Composite Shell Element Based on the Total Lagrangian Formulation.- References.- 16. Applications of the Finite Element Method in Geotechnical Engineering.- Soil-Structure Interaction Problems.- Earth and Rock-Fill Dam.- Foundation of a Concrete Dam.- Power House Cavern.- References.- Biographical Sketch.- 17. Vibration Problems: Theory.- Typical Problem Formulations.- Simultaneous Iteration Method.- General Remarks.- References.- 18. Vibration Problems: Applications.- Mode Superposition.- Applications.- References.- 19. Stability of Structures.- Static Stability Eigenproblems.- Traversing Critical Points.- References.- 20. Stability of Structures - Applications.- Concepts of Structural Stability and Criterion of Stability.- Formulation of the Stability Problem.- Applications.- Remarks.- References.- 21. Elastic Contact Problems.- Solution of the Elastic Contact Problem Using Analytical Methods.- Finite Element Analysis of Elastic Contact Problems.- Finite Element Modelling of Frictionless Contact Problems.- Finite Element Modelling of Elastic Contact Problems with Friction.- Finite Element Modelling of Dynamic Contact.- References.- Appendix 1.- 22. Fracture Mechanics.- Prel iminaries.- Fundamentals of Nonlinear Fracture Mechanics.- References.- 23. Analytical Solutions and Computational Methods in Plane Fracture.- Governing Equations of 20 Elasticity.- The Boundary Element Method.- The Schwartz-Newmann Alternating Technique.- Evaluation of Weight Functions.- Numerical Results.- Conclusions.- References.- 24. Methods for Analysis of Cracks in Three-Dimensional Solids.- List of Symbols.- Exact Solutions.- Approximate Methods.- Extraction of Stress-Intensity Factors.- Comparisons.- Concluding Remarks.- References.- 25. Recent Developments in Boundary Element Methods.- Infinitesimal Deformation of a Linear Elastic Solid.- Small-Strain Elasto-Plasticity.- Finite Strain E1asto-Plasticity.- Geometrically Nonlinear Behaviour of a Semi-Linear Solid.- Evaluation of Free Terms for the Integral Representation of Velocity Gradients.- Numerical Results for Linear Elasticity.- Numerical Implementation of Singular Integrals in Equation (74).- Numerical Results.- Closure.- References.- 26. The Discrete Element Method for the Analysis of Multiple Deformable/Rigid Bodies in Contact.- Dynamic Equilibrium Equations.- Time Integration Algorithm.- Contact Detection and Force Generation.- Discrete Fracture Model.- Applications.- Concluding Remarks.- References.- 27. A Review of Some Current Problems in Large Displacement Plasticity for Process Simulation.- Review of Finite Element Implementation of Plasticity.- Special Issues for Process Simulation Formulation.- Example Problems.- Conclusions.- References.- List of Symbols.- 28. A Primer on Probabilistic Structural Dynamics.- Response Characterist ics of Interest.- Response of Linear Systems.- Response of Nonlinear Systems.- Concluding Remarks.- References.- 29. Stochastic Linearization in Structural Dynamics.- Background on Alternative Methods of Random Vibration Analysis.- Concept and Applicability of the Method.- A Mathematical Formulation.- Performance Evaluation.- Some Possible or Expected Developments.- References.- 30. Digital Synthesis of Response-Design Spectrum Compatible Earthquake Records for Dynamic Analysis.- Response Spectrum.- Design Spectrum.- Algorithms of Digital Synthesis.- Concluding Remarks.- References.- 31. Stochastic Finite Element Expansion for Random Media.- Orthogonal Expansion.- Examples of Kernel Expansion.- Finite Element Formulation.- Numerical Example.- Summary.- Appendix I. Acknowledgement.- Appendix II. References.- Appendix III. Notation.- 32. Fem Analysis of Heat Exchangers.- Shell Tube Heat Exchangers.- Split Flow Exchanger.- Heat Exchanger With Phase Change.- Conclusions.- Nomenclature.- References.- 33. Conductive Convective Heat Transfer.- Nonlinear Transient Heat Conduction.- Fluid Flow and Heat Transfer.- Conclusions.- Nomenclature.- References.- 34. Knowledge Based Expert Systems for Finite Element Analysis.- Knowledge Based Expert Systems.- Problems to be Addressed by Finite Element Analysis Consultant.- A Framework for Finite Element Analysis Expert Systems.- Case Studies of Expert Systems for Finite Element Analysis.- References.- 35. Gravity Probe.- Experiment Description.- Structural Considerations.- Satellite System.- References.- Biographical Sketch.- Author Index.
Series Title: Lecture notes in engineering, 37.
Responsibility: J.N. Reddy, C.S. Krishnamoorthy, K.N. Seetharamu (eds.).


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