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Stress and strain control via level set topology optimization

Picelli Sanches, Renato, Townsend, Scott and Kim, H. Alicia 2018. Stress and strain control via level set topology optimization. Structural and Multidisciplinary Optimization 58 (5) , pp. 2037-2051. 10.1007/s00158-018-2018-z

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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 ux 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 eciently 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.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Publisher: Springer Verlag (Germany)
ISSN: 1615-147X
Date of First Compliant Deposit: 22 May 2018
Date of Acceptance: 18 May 2018
Last Modified: 26 Oct 2021 01:16

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