Numerical-experimental hybrid method for stress separation in digital gradient sensing method |
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| Institution: | 1. Yunnan Key Laboratory of Internal Combustion Engine, Kunming University of Science and Technology, Kunming 650500, China;2. College of Automobile, Chang''an University, Xi''an 710064, China;3. State Key Laboratory of Engines, Tianjin University, Tianjin 300072, China;1. College of Science, Liaoning University of Technology, Jinzhou 121000, P. R. of China;2. State Key Laboratory of Synthetical Automation of Process Industries, College of Information Science and Engineering, Northeastern University, Shenyang 110819, P.R. China;1. School of Materials and Energy, Guangdong University of Technology, Guangzhou Higher Education Mega Center 100#, Guangzhou, 510006, China;2. Guangdong Provincial Key Laboratory of Functional Soft Condensed Matter, Guangzhou, 510006, China;3. Key Laboratory of Renewable Energy, Chinese Academy of Sciences, Guangzhou, 510640, China;1. College of Science, Liaoning University of Technology, Jinzhou, Liaoning, 121001, China;2. State Key Laboratory of Superhard Materials, Jilin University, Changchun, 130012, China;3. College of Mathematics and Physics, Bohai University, Jinzhou, Liaoning, 121000, China;4. Institute of New Energy, Bohai University, Jinzhou, Liaoning, 121000, China |
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| Abstract: | A numerical-experimental hybrid method for the stress separation in the digital gradient sensing (DGS) method is proposed in this study. In the proposed hybrid method, boundary conditions for a local finite element model, that is, nodal force along boundaries are inversely determined from experimental values obtained by the digital gradient sensing method. The hybrid method follows two stages. In stage 1, the DGS method measures the Cartesian stress gradient components directly and, subsequently, the sum in Cartesian stresses at all interesting points on the surface; stress sum are used to compute the unknown boundary conditions for the local model. In stage 2, the individual stress components are calculated by the direct finite element method using the computed boundary conditions from stage 1. The effectiveness is demonstrated by applying the proposed method to a stress concentration problem involving concentrated load acting on an edge of a large planar sheet. The individual stress components thus determined are summed and compared with analytical stress sum, confirming the effectiveness and accuracy of the proposed technique. |
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| Keywords: | Digital gradient sensing method Boundary condition Finite element method Hybrid method Stress separation |
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