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Related Experiment Videos

Arc-length technique for nonlinear finite element analysis.

Bashir-Ahmed Memon1, Xiao-zu Su

  • 1Department of Structural Engineering, Tongji University, Shanghai 200092, China. bashirmemon@sohu.com

Journal of Zhejiang University. Science
|April 15, 2004
PubMed
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The arc-length method is crucial for accurately predicting reinforced concrete structure behavior, especially load-deflection responses. Recent advancements enhance its ability to overcome limitations in nonlinear finite element analysis.

Area of Science:

  • Civil Engineering
  • Structural Engineering
  • Computational Mechanics

Background:

  • Nonlinear analysis of reinforced concrete structures requires accurate load-deflection response prediction.
  • Standard solution techniques struggle with limit, bifurcation, snap-through, and snap-back points, failing to capture complete behavior.
  • The arc-length method is a foundational technique for nonlinear finite element analysis.

Purpose of the Study:

  • To review recent developments in the arc-length method over the past two decades.
  • To highlight the method's application and modifications for nonlinear finite element analysis of reinforced concrete structures.
  • To address the limitations of ordinary solution techniques in capturing complete load-displacement responses.

Main Methods:

Related Experiment Videos

  • Review of literature on arc-length method modifications and applications.
  • Focus on advancements relevant to reinforced concrete structures.
  • Analysis of techniques for overcoming instability near limit points and handling snap-through/snap-back phenomena.

    • Main Results:

    • The arc-length method, with modifications, effectively traces equilibrium paths and handles critical points in nonlinear analysis.
    • Recent developments have improved its robustness and applicability to complex reinforced concrete structures.
    • The method provides a reliable approach for predicting complete load-displacement behavior.

    Conclusions:

    • The arc-length method is indispensable for accurate nonlinear analysis of reinforced concrete.
    • Continuous research and modifications are vital for its optimal performance in structural engineering.
    • The reviewed developments offer enhanced capabilities for predicting structural response under complex loading conditions.