This paper introduces a problem of stress isolation in structural design and presents an approach to the problem through topology optimization. We model the stress isolation problem as a topology optimization problem with multiple stress constraints in different regions. The shape equilibrium constraint approach is employed to effectively control the local stress constraints. The level set based structural optimization is implemented with the extended finite element method (X-FEM) for providing an adequately accurate stress analysis. Numerical examples of stress isolation design in two dimensions are investigated as a benchmark test of the proposed method. The results, from the force transmittance point of view, suggest that the guard “grooves” obtained can change the force path to successfully realize the stress isolation in the structure.
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Allaire G, Jouve F, Toader AM (2004) Structural optimization using sensitivity analysis and a level-set method. J Comput Phys 194:363–393
Duysinx P, Miegroet LV, Jacobs T, Fleury C (2006) Generalized shape optimization using X-FEM and level set methods. IUTAM symposium on topological design, optimization of structures, machines and materials. Springer, New York, pp 23–32
Gorard MT, Bennin JS, Ziegler DA (1998) Welding stress isolation structure for head suspension assemblies. US5748409, Hutchinson Technology Incorporated, 5 May
Hsieh HS, Chang HC, Hu CF, Cheng CL, Fang W (2011) A novel stress isolation guard ring design for the improvement of three-axis piezoresistive accelerometer. J Micromech Microeng 21:105006–105016
Jamie WS (2010) Pressure sensor stress isolation pedestal. US7647835B2, Honeywell International Incorporated, 19 June
Kokcharov II, Burov AE (2001) Analysis of stress state with the force lines method. Proc Int Conf RDAMM 6:208–212
Li L, Wang MY, Wei P (2012) XFEM schemes for level set based structural optimization. Front Mech Eng 7(4):335–356
Miegroet LV, Duysinx P (2007) Stress concentration minimization of 2D filets using X-FEM and level set description. Struct Multidisc Optim 33:425–438
Okada K (1992) Tri-axial piezoresistive accelerometer. Technical digest of the 11th sensor symposium, pp 245–248
Rathkjen A (1997) Force lines in plane stress. J Elast 47:167–178
Rogers T (1992) Considerations of anodic bonding for capacitive type silicon-glass sensor fabrication. J Micromech Microeng 2:164–166
Rogers T, Kowal J (1995) Selection of glass, anodic bonding conditions and material compatibility for silicon-glass capacitive sensors. Sens Actuators A: Phys 46:113–120
Ronald BL, Graeme AB (2001) Combined enhanced shock load capability and stress isolation structure for an improved performance silicon micro-machined accelerometer. US6257060B1, AlliedSignal Incorporated, 10 July
Takao H, Matsumoto Y, Seo HD, Tanaka H, Ishida M, Nakamura T (1995) Three dimensional vector accelerometer using SOI structure for high temperature. In: IEEE Transducers’ 95, Stockholm, Sweden, pp 683–686
Tsai MH, Wang C, Sun CM, Fang W (2007) A novel CMOS out-of-plane accelerometer with fully-differential sensing circuit and sub-micron gap. In: IEEE Transducers’ 07, Lyon, France, pp 1487–1490
Tsuchiya T, Funabashi H (2004) A z-axis differential capacitive SOI accelerometer with vertical comb electrodes. Sensors and Actuators A 116:378–383
Wang MY, Wang XM, Guo DM (2003) A level set method for structural topology optimization. Comput Methods Appl Mech Eng 192:227–246
Wang MY, Li L (2013) Shape equilibrium constraint: a strategy for stress-constrained structural topology optimization. Struct Multidisc Optim 47(3):335–352
Wei P, Wang MY, Xing XH (2010) A study on X-FEM in continuum structural optimization using level set model. Comput Aided Des 42:708–719
The financial support from the Research Grants Council of Hong Kong S.A.R. (project No. CUHK417309) is gratefully acknowledged.
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Li, L., Wang, M.Y. Stress isolation through topology optimization. Struct Multidisc Optim 49, 761–769 (2014). https://doi.org/10.1007/s00158-013-1004-8
- Stress isolation
- Topology optimization
- Shape equilibrium constraint
- Level set method
- Extended finite element method (X-FEM)