0
Research Papers

sFEA: A Secure Finite Element Analysis Technique

[+] Author and Article Information
Siva C. Chaduvula, Jitesh H. Panchal

School of Mechanical Engineering,
Purdue University,
West Lafayette, IN 47907

Mikhail J. Atallah

Department of Computer Science,
Purdue University,
West Lafayette, IN 47907

Contributed by the Computers and Information Division of ASME for publication in the JOURNAL OF COMPUTING AND INFORMATION SCIENCE IN ENGINEERING. Manuscript received September 14, 2018; final manuscript received January 25, 2019; published online March 18, 2019. Assoc. Editor: Mahesh Mani.

J. Comput. Inf. Sci. Eng 19(3), 031004 (Mar 18, 2019) (10 pages) Paper No: JCISE-18-1242; doi: 10.1115/1.4042695 History: Received September 14, 2018; Revised January 25, 2019

Designers need a way to overcome information-related risks, including information leakage and misuse by their own collaborators during collaborative product realization. Existing cryptographic techniques aimed at overcoming these information-related risks are computationally expensive and impractical even for moderate problem sizes, and legal approaches such as nondisclosure agreements are not effective. The computational practicality problem is particularly pronounced for computational techniques, such as the finite element analysis (FEA). In this paper, we propose a technique that enables designers to perform simulations, such as FEA computations, without the need for revealing their information to anyone, including their design collaborators. We present a new approach, the secure finite element analysis approach, which enables designers to perform FEA without having to reveal structural/material information to their counterparts even though the computed answer depends on all the collaborators' confidential information. We build secure finite element analysis (sFEA) using computationally efficient protocols implementing a secure codesign (SCD) framework. One of our findings is that the direct implementation of using SCD framework (termed as naïve sFEA) suffers from lack of scalability. To overcome these limitations, we propose hybrid sFEA that implements performance improvement strategies. We document and discuss the experiments we conducted to determine the computational overhead imposed by both naïve and hybrid sFEA. The results indicate that the computational burden imposed by hybrid sFEA makes it challenging for large-scale FEA—our scheme significantly increases the problem sizes that can be handled when compared to implementations using previous algorithms and protocols, but large enough problem sizes will swamp our scheme as well (in some sense this is unavoidable because of the cubic nature of the FEA time complexity).

FIGURES IN THIS ARTICLE
<>
Copyright © 2019 by ASME
Your Session has timed out. Please sign back in to continue.

References

Wood, W. H. , and Agogino, A. M. , 1996, “ Case-Based Conceptual Design Information Server for Concurrent Engineering,” Comput.-Aided Des., 28(5), pp. 361–369. [CrossRef]
Choi, Y. , Kim, K. , and Kim, C. , 2005, “ A Design Chain Collaboration Framework Using Reference Models,” Int. J. Adv. Manuf. Technol., 26(1–2), pp. 183–190. [CrossRef]
True, M. , and Izzi, C. , 2002, “ Collaborative Product Commerce: Creating Value Across the Enterprise,” Ascet, Vol. 6, accessed Feb. 19, 2019, https://mthink.com/legacy/www.ascet.com/content/white_papers/ASC4_wp_true.htm
Chaduvula, C. S. , Atallah, M. J. , and Panchal, J. H. , 2018, “ Secure Codesign: Achieving Optimality Without Revealing,” ASME J. Comput. Inf. Sci. Eng., 18(2), p. 021007.
Tan, K. H. , Wong, W. , and Chung, L. , 2016, “ Information and Knowledge Leakage in Supply Chain,” Inf. Syst. Front., 18(3), pp. 621–638. [CrossRef]
Kong, G. , Rajagopalan, S. , and Zhang, H. , 2017, “ Information Leakage in Supply Chains,” Handbook of Information Exchange in Supply Chain Management, Springer, Cham, Switzerland, pp. 313–341.
John, K. , 2016, “ Samsung Will Be Apple's Top Supplier for Iphones Again in 2017,” Jersey City, NJ, accessed Feb. 19, 2019, https://bit.ly/2jlJNbo
Cera, C. D. , Kim, T. , Han, J. , and Regli, W. C. , 2004, “ Role-Based Viewing Envelopes for Information Protection in Collaborative Modeling,” Comput.-Aided Des., 36(9), pp. 873–886. [CrossRef]
Cera, C. D. , Braude, I. , Kim, T. , Han, J. , and Regli, W. C. , 2006, “ Hierarchical Role-Based Viewing for Multilevel Information Security in Collaborative CAD,” ASME J. Comput. Inf. Sci. Eng., 6(1), pp. 2–10. [CrossRef]
Paillier, P. , 1999, “ Public-Key Cryptosystems Based on Composite Degree Residuosity Classes,” International Conference on the Theory and Applications of Cryptographic Techniques, Prague, Czech Republic, May 2–6, pp. 223–238.
Gentry, C. , 2009, “ A Fully Homomorphic Encryption Scheme,” Ph.D. thesis, Stanford University, Stanford, CA. https://crypto.stanford.edu/craig/craig-thesis.pdf
Yao, A. C.-C. , 1986, “ How to Generate and Exchange Secrets,” 27th Annual Symposium on Foundations of Computer Science, Toronto, ON, Canada, Oct. 27–29, pp. 162–167.
Chaduvula, S. C. , Atallah, M. J. , and Panchal, J. H. , 2018, “ sFEA: A Lightweight, Scalable and Secure Finite Element Analysis Technique,” ASME Paper No. DETC2018-85566.
Chang, H. , Kim, K.-K. , and Kim, Y. , 2007, “ The Research of Security System for Sharing Engineering Drawings,” International Conference on Intelligent Pervasive Computing, Jeju City, South Korea, Oct. 11–13, pp. 319–322.
Elsheh, E. , and Hamza, A. B. , 2011, “ Secret Sharing Approaches for 3D Object Encryption,” Expert Syst. Appl., 38(11), pp. 13906–13911.
Martín del Rey, A. , 2015, “ A Multi-Secret Sharing Scheme for 3D Solid Objects,” Expert Syst. Appl., 42(4), pp. 2114–2120. [CrossRef]
Van der Hoeven, A. , ten Bosch, O. , van Leuken, R. , and van der Wolf, P. , 1994, “ A Flexible Access Control Mechanism for CAD Frameworks,” Conference on European Design Automation, Grenoble, France, Sept. 9–23, pp. 188–193. https://dl.acm.org/citation.cfm?id=198239
Lee, S. H. , 2005, “ A CAD–CAE Integration Approach Using Feature-Based Multi-Resolution and Multi-Abstraction Modelling Techniques,” Comput.-Aided Des., 37(9), pp. 941–955. [CrossRef]
Wang, G. , Liu, Q. , Wu, J. , and Guo, M. , 2011, “ Hierarchical Attribute-Based Encryption and Scalable User Revocation for Sharing Data in Cloud Servers,” Comput. Secur., 30(5), pp. 320–331. [CrossRef]
Kim, K. C. , and Yoo, S. B. , 2014, “ Collaborative Design by Sharing Multiple-Level Encryption Files,” Concurrent Eng., 22(1), pp. 29–37. [CrossRef]
Hedberg, T. D. , Krima, S. , and Camelio, J. A. , 2017, “ Embedding X.509 Digital Certificates in Three-Dimensional Models for Authentication, Authorization, and Traceability of Product Data,” ASME J. Comput. Inf. Sci. Eng., 17(1), p. 011008. [CrossRef]
Chaduvula, S. C. , Dachowicz, A. , Atallah, M. J. , and Panchal, J. H. , 2018, “ Security in Cyber-Enabled Design and Manufacturing: A Survey,” ASME J. Comput. Inf. Sci. Eng., 18(4), p. 040802. [CrossRef]
Xue, H. , and Li, J. , 2005, “ A Method for Information Protection in Collaborative Assembly Design,” Ninth International Conference on Computer Aided Design and Computer Graphics (CAD-CG), Hong Kong, China, Dec. 7–10, p. 6.
Zhen, X.-J. , Wu, D.-L. , Fan, X.-M. , and Gao, J.-W. , 2008, “ Research on the Technologies of Multi-Users Modeling and Cooperation in Distributed Virtual Assembly System,” J. Syst. Simul., p. S1.
Cai, X. , He, F. , Li, W. , Li, X. , and Wu, Y. , 2015, “ Encryption Based Partial Sharing of CAD Models,” Integr. Comput.-Aided Eng., 22(3), pp. 243–260. [CrossRef]
Wang, S. , Bhandari, S. , Chaduvula, S. C. , Atallah, M. J. , Panchal, J. H. , and Ramani, K. , 2017, “ Secure Collaboration in Engineering Systems Design,” ASME J. Comput. Inf. Sci. Eng., 17(4), p. 041010. [CrossRef]
Chaduvula, S. C. , Atallah, M. J. , and Panchal, J. H. , 2018, “ Computing Without Revealing: A Cryptographic Approach to eProcurement,” Monterey, CA, NPS Report No. SYM-AM-17-178.
Bogdanov, D. , Niitsoo, M. , Toft, T. , and Willemson, J. , 2012, “ High-Performance Secure Multi-Party Computation for Data Mining Applications,” Int. J. Inf. Security, 11(6), pp. 403–418. [CrossRef]
Zhang, D. Y. , Zeng, Y. , Wang, L. , Li, H. , and Geng, Y. , 2011, “ Modeling and Evaluating Information Leakage Caused by Inferences in Supply Chains,” Comput. Ind., 62(3), pp. 351–363. [CrossRef]
Dachowicz, A. , Chaduvula, S. C. , Atallah, M. J. , Bilionis, I. , and Panchal, J. H. , 2018, “ Strategic Information Revelation in Collaborative Design,” Adv. Eng. Inf., 36, pp. 242–253. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

Different collaboration scenarios between two enterprises (say A and B) that amplify the risk of information leakage

Grahic Jump Location
Fig. 2

Design of a 2D plate: problem formulation for sFEA

Grahic Jump Location
Fig. 3

Different possibilities of mesh configurations for the same connectivity matrix (C)

Grahic Jump Location
Fig. 4

Illustration of the sFEA technique using SAPAS protocols. Each SAPAS protocol requires inputs from designers (Alice and Bob). For simplicity, we have shown the additive splits of inputs and outputs that belong to Alice (denoted by subscript 1).

Grahic Jump Location
Fig. 5

The mesh configuration with triangular elements results in a band structure for global stiffness matrix (K)

Grahic Jump Location
Fig. 6

Comparison of the average time (in milliseconds) taken by the hybrid sFEA simulation and naïve FEA for a mesh with four triangular elements

Grahic Jump Location
Fig. 7

Comparison of amount of data transfer required (in kB) by the hybrid sFEA simulation and naïve FEA for a mesh with four triangular elements

Grahic Jump Location
Fig. 8

Mesh configuration used for the generation of FEM results listed in Table 3

Grahic Jump Location
Fig. 9

Comparison of average total time taken (in seconds) by the hybrid sFEA simulation and open FEA using triangular mesh elements

Grahic Jump Location
Fig. 10

Comparison of average total time taken (in seconds) by the hybrid sFEA simulation and open FEA using triangular mesh elements

Tables

Errata

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In