Optimization of the femur prosthesis is a key issue in femur replacement surgeries that provide a viable option for limb salvage rather than amputation. To overcome the drawback of the conventional techniques that do not support topology optimization of the prosthesis design, a parameterized level set method (LSM) topology optimization with arbitrary geometric constraints is presented. A predefined narrow band along the complex profile of the original femur is preserved by applying the contour method to construct the level set function, while the topology optimization is carried out inside the cavity. The Boolean R-function is adopted to combine the free boundary and geometric constraint level set functions to describe the composite level set function of the design domain. Based on the minimum compliance goal, three different designs of 2D femur prostheses subject to the target cavity fill ratios 34%, 54%, and 74%, respectively, are illustrated.
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January 2016
Research-Article
Topology Optimization of Total Femur Structure: Application of Parameterized Level Set Method Under Geometric Constraints
Xiaowei Deng,
Xiaowei Deng
Department of Structural Engineering,
University of California, San Diego,
La Jolla, CA 92093
e-mail: x8deng@eng.ucsd.edu
University of California, San Diego,
La Jolla, CA 92093
e-mail: x8deng@eng.ucsd.edu
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Yingjun Wang,
Yingjun Wang
Department of Structural Engineering,
University of California, San Diego,
La Jolla, CA 92093
e-mail: yiw009@eng.ucsd.edu
University of California, San Diego,
La Jolla, CA 92093
e-mail: yiw009@eng.ucsd.edu
Search for other works by this author on:
Jinhui Yan,
Jinhui Yan
Department of Structural Engineering,
University of California, San Diego,
La Jolla, CA 92093
e-mail: jiy071@eng.ucsd.edu
University of California, San Diego,
La Jolla, CA 92093
e-mail: jiy071@eng.ucsd.edu
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Shuting Wang
Shuting Wang
Professor
School of Mechanical Science and Engineering,
Huazhong University of Science and Technology,
Wuhan 430074, China
e-mail: wangst@mail.hust.edu.cn
School of Mechanical Science and Engineering,
Huazhong University of Science and Technology,
Wuhan 430074, China
e-mail: wangst@mail.hust.edu.cn
Search for other works by this author on:
Xiaowei Deng
Department of Structural Engineering,
University of California, San Diego,
La Jolla, CA 92093
e-mail: x8deng@eng.ucsd.edu
University of California, San Diego,
La Jolla, CA 92093
e-mail: x8deng@eng.ucsd.edu
Yingjun Wang
Department of Structural Engineering,
University of California, San Diego,
La Jolla, CA 92093
e-mail: yiw009@eng.ucsd.edu
University of California, San Diego,
La Jolla, CA 92093
e-mail: yiw009@eng.ucsd.edu
Jinhui Yan
Department of Structural Engineering,
University of California, San Diego,
La Jolla, CA 92093
e-mail: jiy071@eng.ucsd.edu
University of California, San Diego,
La Jolla, CA 92093
e-mail: jiy071@eng.ucsd.edu
Tao Liu
Shuting Wang
Professor
School of Mechanical Science and Engineering,
Huazhong University of Science and Technology,
Wuhan 430074, China
e-mail: wangst@mail.hust.edu.cn
School of Mechanical Science and Engineering,
Huazhong University of Science and Technology,
Wuhan 430074, China
e-mail: wangst@mail.hust.edu.cn
1Corresponding author.
Contributed by the Design Automation Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received December 14, 2014; final manuscript received September 22, 2015; published online November 16, 2015. Assoc. Editor: James K. Guest.
J. Mech. Des. Jan 2016, 138(1): 011402 (8 pages)
Published Online: November 16, 2015
Article history
Received:
December 14, 2014
Revised:
September 22, 2015
Citation
Deng, X., Wang, Y., Yan, J., Liu, T., and Wang, S. (November 16, 2015). "Topology Optimization of Total Femur Structure: Application of Parameterized Level Set Method Under Geometric Constraints." ASME. J. Mech. Des. January 2016; 138(1): 011402. https://doi.org/10.1115/1.4031803
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