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A numerical method for determining the strain rate intensity factor under plane strain conditions

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Abstract

Using the classical model of rigid perfectly plastic solids, the strain rate intensity factor has been previously introduced as the coefficient of the leading singular term in a series expansion of the equivalent strain rate in the vicinity of maximum friction surfaces. Since then, many strain rate intensity factors have been determined by means of analytical and semi-analytical solutions. However, no attempt has been made to develop a numerical method for calculating the strain rate intensity factor. This paper presents such a method for planar flow. The method is based on the theory of characteristics. First, the strain rate intensity factor is derived in characteristic coordinates. Then, a standard numerical slip-line technique is supplemented with a procedure to calculate the strain rate intensity factor. The distribution of the strain rate intensity factor along the friction surface in compression of a layer between two parallel plates is determined. A high accuracy of this numerical solution for the strain rate intensity factor is confirmed by comparison with an analytic solution. It is shown that the distribution of the strain rate intensity factor is in general discontinuous.

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Authors and Affiliations

  1. A. Yu. Ishlinskii Institute for Problems in Mechanics, Russian Academy of Sciences, 101-1 Prospect Vernadskogo, 119526, Moscow, Russia

    S. Alexandrov

  2. Division of Mechanics, Research Center for Applied Sciences, Academia Sinica, Taipei, Taiwan

    C.-Y. Kuo

  3. Department of Mechanical Engineering and Advanced Institute for Manufacturing with High-tech Innovations, National Chung Cheng University, Chia-Yi, Taiwan

    Y.-R. Jeng

Authors
  1. S. Alexandrov
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  2. C.-Y. Kuo
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  3. Y.-R. Jeng
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Correspondence to Y.-R. Jeng.

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Communicated by Andreas Öchsner.

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Alexandrov, S., Kuo, CY. & Jeng, YR. A numerical method for determining the strain rate intensity factor under plane strain conditions. Continuum Mech. Thermodyn. 28, 977–992 (2016). https://doi.org/10.1007/s00161-015-0436-3

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  • DOI: https://doi.org/10.1007/s00161-015-0436-3

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