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Sensors 2019, 19(3), 717; https://doi.org/10.3390/s19030717

A Simplified SSY Estimate Method to Determine EPFM Constraint Parameter for Sensor Design

1,2,* and 2,*
1
National Research Base of Intelligent Manufacturing Service, Chongqing Technology and Business University, Chongqing 400067, China
2
Department of Mechanical and Aerospace Engineering, Carleton University, Ottawa, ON K1S 5B6, Canada
This paper is the extended version of “A Simplified Small Scale Yielding Estimate Method for Determination of Second Elastic-Plastic Fracture Mechanics Parameter”. In Proceedings of the SDPC 2018, Xi’an, China, 15–17 August 2018.
*
Authors to whom correspondence should be addressed.
Received: 3 January 2019 / Revised: 6 February 2019 / Accepted: 7 February 2019 / Published: 10 February 2019
(This article belongs to the Special Issue Sensors for Prognostics and Health Management)
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Abstract

To implement a sensor structure analysis and design (as well as other engineering applications), a two-parameter approach using elastic–plastic fracture mechanics (EPFM) could be applied to analyze a structure more accurately than a one-parameter approach, especially for structures with low crack constraint. The application of the J-A two-parameter approach on sensors and other structures depends on the obtainment of a constraint parameter A. To conveniently and effectively obtain the A parameter values, the authors have developed a T-stress-based estimate method under a small-scale yielding (SSY) condition. Under a uniaxial external loading condition, a simplified format of the T-stress-based estimate has been proposed by the authors to obtain the parameter A much more conveniently and effectively. Generally, sensors and other practical engineering structures endure biaxial external loading instead of the uniaxial one. In the current work, the simplified formation of the estimate method is extended to a biaxial loading condition. By comparing the estimated A parameter values with their numerical solutions from a finite element analysis (FEA) results, the extension of the simplified formation of T-stress-based estimate method to biaxial loading was discussed and validated. The comparison procedure was completed using a wide variety of materials and geometrical properties on three types of specimens: single edge cracked plate (SECP), center cracked plate (CCP), and double edge cracked plate (DECP). View Full-Text
Keywords: sensor design; sensor structure analysis; two parameter approach; constraint parameter; small scale yielding; T-stress; estimate method; simplified format; biaxial loading sensor design; sensor structure analysis; two parameter approach; constraint parameter; small scale yielding; T-stress; estimate method; simplified format; biaxial loading
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Ding, P.; Wang, X. A Simplified SSY Estimate Method to Determine EPFM Constraint Parameter for Sensor Design. Sensors 2019, 19, 717.

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