On Shape and Material Optimization of Isotropic Bodies
This paper deals with the free material design and its two constrained versions constructed by imposing isotropy with (i) independent bulk and shear moduli, and (ii) fixed Poisson’s ratio. In the latter case, the Young modulus is the only design variable. The moduli are viewed as non-negative, thus...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Institute of Fundamental Technological Research
2017-03-01
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| Series: | Engineering Transactions |
| Subjects: | |
| Online Access: | https://et.ippt.pan.pl/index.php/et/article/view/754 |
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| Summary: | This paper deals with the free material design and its two constrained versions constructed by imposing isotropy with (i) independent bulk and shear moduli, and (ii) fixed Poisson’s ratio. In the latter case, the Young modulus is the only design variable. The moduli are viewed as non-negative, thus allowing for the appearance of void domains within the design domain. The paper shows that all these methods reduce to one stress-based problem in which the norm involved reflects the type of the constraints imposed. |
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| ISSN: | 0867-888X 2450-8071 |