期刊
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
卷 58, 期 5, 页码 2037-2051出版社
SPRINGER
DOI: 10.1007/s00158-018-2018-z
关键词
Topology optimization; Level-set method; Stress isolation; Strain control
资金
- Engineering and Physical Sciences Research Council [EP/M002322/2]
- EPSRC [EP/M002322/2] Funding Source: UKRI
This paper presents a level set topology optimization method for manipulation of stress and strain integral functions in a prescribed region (herein called sub-structure) of a linear elastic domain. The method is able to deviate or concentrate the flux of stress in the sub-structure by optimizing the shape and topologies of the boundaries outside of that region. A general integral objective function is proposed and its shape sensitivities are derived. For stress isolation or maximization, a von Mises stress integral is used and results show that stresses in the sub-structure can be drastically reduced. For strain control, a strain integral combined with a vector able to select the component of the strain is used. A combination of both can be used to minimize deformation of a prescribed direction. Numerical results show that strain can be efficiently minimized or maximized for a wide range of directions. The proposed methodology can be applied to stress isolation of highly sensitive non strain-based sensors, design for failure, maximization of mechanical strain and strain direction control for strain-based sensors and microdevices.
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