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A direct shape optimization approach for contact problems with boundary stress concentration

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Abstract

The paper presents a direct shape optimization approach that minimizes both boundary stress concentration and peak contact pressure of multi-body contact systems. This approach is centered on the direct shape modification of boundary regions of stress concentration measured by von Mises stresses and contact surfaces measured by contact pressure. Without requiring sensitivity data for shape modification, shape optimization is made directly on nodal positions through an iterative computational scheme. Therefore, this approach is simple to implement using either commercial finite element software or in-house programs. An adjustable weighting factor is used to ensure stable and accelerated convergence in shape optimization. To evaluate the proposed approach, three case problems are presented, and the results show that this direct shape optimization approach can be especially applicable to the design and analysis of multi-body systems where boundary stress concentration and contact pressure distribution are an important consideration.

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Authors and Affiliations

  1. Department of Mechanical, Materials and Manufacturing Engineering, University of Nottingham, Nottingham, NG7 2RD, UK

    H. Ou

  2. State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing, 400044, China

    H. Ou & C. Lin

  3. National Engineering Research Centre of Die & Mold CAD, Shanghai Jiao Tong University, 1954 HuaShan Rd, Shanghai, 200030, China

    B. Lu & Z. S. Cui

Authors
  1. H. Ou
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  2. B. Lu
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  3. Z. S. Cui
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  4. C. Lin
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Corresponding author

Correspondence to B. Lu.

Additional information

Recommended by Associate Editor Tae Hee Lee

Hengan Ou received his Ph.D. from the University of Strathclyde, UK in 2001. He worked as an associate professor in the Department of Mechanical, Materials and Manufacturing Engineering, University of Nottingham. His main research interests are in process modeling and optimization, metal forming and material processing techniques as well as machine system design and integration.

Bin Lu received his Ph.D. from the Queen’s University of Belfast, UK in 2008. He worked as an associate professor in National Engineering Research Centre of Die & Mold CAD, Shanghai Jiao Tong University. His main research interests are incremental sheet forming, preform design and net-shape forging.

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Ou, H., Lu, B., Cui, Z.S. et al. A direct shape optimization approach for contact problems with boundary stress concentration. J Mech Sci Technol 27, 2751–2759 (2013). https://doi.org/10.1007/s12206-013-0721-7

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  • DOI: https://doi.org/10.1007/s12206-013-0721-7

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