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Numerical properties of second order integration algorithms for plasticity models

Jahanshahi, M ; Sharif University of Technology | 2013

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  1. Type of Document: Article
  2. DOI: 10.1201/b15963-82
  3. Publisher: 2013
  4. Abstract:
  5. Investigating the behavior of materials in plastic limit is very important in different fields of engineering. Due to the simplicity of implementation and numerical stability, implicit types of algorithms are conventionally used to deal with plasticity problems. The backward Euler method as a first order accurate algorithm has proven very efficient for integrating the rate form of differential equations governing the behavior of different plasticity models. However, it is desirable to have algorithms with superior performance and quadratic rate of convergence compared with backward Euler method. Many second order integration algorithms have been proposed in the literature which are majorly focused on metal plasticity with isochoric dominant behavior in post yielding range and various types of hardenings. The J2 plasticity model can be mentioned as a good example. It is also possible to present second order algorithms for material models with pressure sensitive behavior such as soil and concrete. The aim of this work is to present a comparison between classical backward Euler method and second order algorithms that are proposed in the literature for different types of plasticity models. The efficiency of algorithms is investigated through iso-error maps and error graphs
  6. Keywords:
  7. Backward Euler method ; Integration algorithm ; Material models ; Metal plasticity ; Numerical properties ; Plasticity model ; Pressure sensitive ; Second-order algorithms ; Differential equations ; Mechanics ; Plasticity ; Structural design ; Algorithms
  8. Source: Research and Applications in Structural Engineering, Mechanics and Computation - Proceedings of the 5th International Conference on Structural Engineering, Mechanics and Computation, SEMC 2013 ; 2013 , Pages 443-448 ; 9781138000612 (ISBN)
  9. URL: http://www.crcnetbase.com/doi/abs/10.1201/b15963-82