Computational Methods in Nonlinear Structural and Solid Mechanics

Computational Methods in Nonlinear Structural and Solid Mechanics

Papers Presented at the Symposium on Computational Methods in Nonlinear Structural and Solid Mechanics

1st Edition - January 1, 1981

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  • Editors: Ahmed K. Noor, Harvey G. McComb
  • eBook ISBN: 9781483145648

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Computational Methods in Nonlinear Structural and Solid Mechanics covers the proceedings of the Symposium on Computational Methods in Nonlinear Structural and Solid Mechanics. The book covers the development of efficient discretization approaches; advanced numerical methods; improved programming techniques; and applications of these developments to nonlinear analysis of structures and solids. The chapters of the text are organized into 10 parts according to the issue they tackle. The first part deals with nonlinear mathematical theories and formulation aspects, while the second part covers computational strategies for nonlinear programs. Part 3 deals with time integration and numerical solution of nonlinear algebraic equations, while Part 4 discusses material characterization and nonlinear fracture mechanics, and Part 5 tackles nonlinear interaction problems. The sixth part discusses seismic response and nonlinear analysis of concrete structure, and the seventh part tackles nonlinear problems for nuclear reactors. Part 8 covers crash dynamics and impact problems, while Part 9 deals with nonlinear problems of fibrous composites and advanced nonlinear applications. The last part discusses computerized symbolic manipulation and nonlinear analysis software systems. The book will be of great interest to numerical analysts, computer scientists, structural engineers, and other professionals concerned with nonlinear structural and solid mechanics.

Table of Contents

  • Computational Methods in Nonlinear Structural and Solid Mechanics

    1. Nonlinear Mathematical Theories and Formulation Aspects

    A Nonlinear Theory of General Thin-walled Beams

    Stability Analysis of Structures via a New Complementary Energy Method

    A Large Deformation Formulation for Shell Analysis by the Finite Element Method

    2. Computational Strategies for Nonlinear Problems

    Recent Advances in Reduction Methods for Nonlinear Problems

    Adaptive Load Incrementation in Elastic-plastic Finite Element Analysis

    A Fast Incremental/Iterative Solution Procedure That Handles "Snap Through"

    An Efficient and Accurate Iterative Method, Allowing Large Incremental Steps, to Solve Elasto-Plastic Problems

    Computational Strategies for the Solution of Large Nonlinear Problems via Quasi-Newton Methods

    Optimal Finite Element Discretization for Nonlinear Constitutive Relations

    3. Time Integration Techniques and Numerical Solution of Nonlinear Algebraic Equations

    Experiments with Direct Integration Algorithms for Ordinary Differential Equations in Structural Dynamics

    Stability of Some Explicit Difference Schemes for Fluid-structure Interaction Problems

    Numerical Analysis of Continuation Methods for Nonlinear Structural Problems

    Methods for Optimal Engineering Design Problems Based on Globally Convergent Methods

    4. Material Characterization and Nonlinear Fracture Mechanics

    Nonlinear Viscoelasticity Based on Free Volume Consideration

    A Theory for Analysis of Thermoplastic Materials

    Prediction of Stable Crack Growth in Type 304 Stainless Steel

    Fracture Analysis of Notched Composites

    5. Nonlinear Interaction Problems

    Computational Method for Soil/Structure Interaction Problems

    Fluid Structure Coupling Algorithm

    Finite Element Solution of Nonlinear Fluid-structure Interaction Problems under Hydrodynamic Shock Conditions

    Finite Element Modeling of Fluid/Thermal/Structural Interaction for a Gas-cooled Fast Reactor Core

    6. Seismic Response and Nonlinear Analysis of Concrete Structures

    Transient Response Analysis of Structural Systems with Nonlinear Behavior

    Inelastic Analysis of Three-dimensional Mixed Steel and Reinforced Concrete Seismic Building Systems

    Coupling in the Dynamic Response of Nonlinear Unsymmetric Structures

    Elastic-plastic Seismic Response Analysis of Structures Supporting Steam Generators

    Models for the Post-cracking Behavior of Plain Concrete under Short Term Monotonie Loading

    Nonlinear Analysis of Reinforced Concrete Frames

    7. Nonlinear Problems for Nuclear Reactors

    Future Needs for Inelastic Analysis in Design of High-temperature Nuclear Plant Components

    Elastic-plastic Bending and Buckling of Pipes and Elbows

    High Temperature Inelastic Analysis

    Dynamic Analysis of Elasto-plastic Piping Systems undergoing Large Deformations

    Aircraft Impact on Reinforced Concrete Shells. Influence of Material Nonlinearities on Equipment Response Spectra

    8. Crash Dynamics and Impact Problems

    Theory and Application of Finite Element Analysis to Structural Crash Simulation

    Projectile Impact Damage Analysis

    Nonlinear Analysis of a Mitigating Steel Nose Cone

    Computer Design of a High Explosive Velocity Augmented Kinetic Energy Penetrator

    Strain Rate Effects on Turbine Missile Casing Impact

    9. Nonlinear Problems of Fibrous Composites and Advanced Nonlinear Applications

    Finite Element Analysis of Elastic-plastic Fibrous Composite Structures

    Large Deformation Analysis of Laminated Shells by Finite Element Method

    Large-deflection and Large Amplitude Free Vibrations of Laminated Composite Material Plates

    On Numerical Nonlinear Analysis of Highly Flexible Spinning Cantilevers

    Elastic-plastic Analysis with NASTRAN User Elements

    Large Elasto-plastic Strain Analysis of Flanged Hole Forming

    Monte Carlo Simulations of Responses of a non-symmetric Dynamic System to Random Excitations

    10. Computerized Symbolic Manipulation and Nonlinear Analysis Software Systems

    Computerized Symbolic Manipulation in Nonlinear Finite Element Analysis

    Architecture of a Distributed Analysis Network for Computational Mechanics

    MAGNA: A Finite Element System for Three-Dimensional Nonlinear Static and Dynamic Structural Analysis

    Survey of Computer Programs for Solution of Nonlinear Structural and Solid Mechanics Problems

Product details

  • No. of pages: 470
  • Language: English
  • Copyright: © Pergamon 1981
  • Published: January 1, 1981
  • Imprint: Pergamon
  • eBook ISBN: 9781483145648

About the Editors

Ahmed K. Noor

Harvey G. McComb

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