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Implementation and application of the multiresolution continuum theory

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Abstract

The multiresolution continuum theory (MCT) is implemented in FEA with a bespoke user defined element and materials. A simple dog-bone model is used to validate the code and study the effect of microscale parameters. The ability of the method to simulate the propagation of a shear band in simple shear without mesh dependence is shown. The length scale parameter is demonstrated to influence shear band width. Finally, we present a simulation of serrated chip formation in metal cutting, a case where accurate prediction of shear band formation is critical. The advantages of MCT over conventional methods are discussed. This work helps elucidate the role of the length scale and microscale parameters in MCT, and is a demonstration of a practical engineering application of the method: the simulation of high speed cutting.

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Acknowledgements

This work is supported by CSC funded Projects (201307760011), Innovation Team Training Plan of Tianjin Universities and Colleges (TD13-5096) and Tianjin Major Special Project for Intelligent Manufacturing (17ZXZNGX00100). Orion L. Kafka thanks the United State National Science Foundation (NSF) for their support through the NSF Graduate Research Fellowship Program under financial Award Number DGE-1324585. Jiaying Gao and Wing Kam Liu thank financial support through a subcontract from the Ford Motor Company with funding from the U.S. Department of Energy’s Office of Energy Efficiency and Renewable Energy (EERE), under Award Number DE-EE0006867 and recently by a contract from Beijing Institute of Collaborative Innovation (BICI)-USA. This work is also supported by National-Local Joint Engineering Laboratory of Intelligent Manufacturing Oriented Automobile Die and Mould. We are also grateful for the work of Miguel Bessa on the MCT code.

Funding

Funding was provided by Beijing Institute of Collaborative Innovation-USA (Grant No. SP0042391), Innovation Team Training Plan of Tianjin Universities and Colleges (Grant No. TD12-5043), U.S. Department of Energy (Grant No. DE-EE0006867), United State National Science Foundation (Grant No. DGE-1324585), China Scholarship Council (Grant No. 201307760011).

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Authors and Affiliations

  1. Mechanical Engineering, Tianjin University of Technology and Education, Tianjin, China

    Guohe Li

  2. Mechanical Engineering, Northwestern University, Evanston, USA

    Guohe Li, Jiaying Gao, Orion L. Kafka, Jacob Smith & Wing Kam Liu

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  1. Guohe Li
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  2. Jiaying Gao
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  3. Orion L. Kafka
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  4. Jacob Smith
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  5. Wing Kam Liu
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Correspondence to Guohe Li.

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Li, G., Gao, J., Kafka, O.L. et al. Implementation and application of the multiresolution continuum theory. Comput Mech 63, 631–647 (2019). https://doi.org/10.1007/s00466-018-1613-6

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