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Adaptive mesh refinement procedure for shear localization problems

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Abstract

The present work is concerned with the development of a procedure for adaptive computations of shear localization problems. The maximum jump of equivalent strain rates across element boundaries is proposed as a simple error indicator based on interpolation errors, and successfully implemented in the adaptive mesh refinement scheme. The time step is controlled by using a parameter related to the Lipschitz constant, and state variables in target elements for refinements are transferred byL 2-projection. Consistent tangent moduli with a proper updating scheme for state variables are used to improve the numerical stability in the formation of shear bands. It is observed that the present adaptive mesh refinement procedure shows an excellent performance in the simulation of shear localization problems.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Seoul National University of Technology, 172 Gongneung-2dong, Nowon-gu, 139-743, Seoul, Korea

    Hyun-Gyu Kim

  2. Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, Science Town, 305-701, Taejon, Korea

    Seyoung Im

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  1. Hyun-Gyu Kim
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  2. Seyoung Im
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Correspondence to Hyun-Gyu Kim.

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Kim, HG., Im, S. Adaptive mesh refinement procedure for shear localization problems. J Mech Sci Technol 20, 2189–2196 (2006). https://doi.org/10.1007/BF02916335

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  • DOI: https://doi.org/10.1007/BF02916335

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