Infinitesimal Periodic Deformations and Quadrics
Keyword(s):
We describe a correspondence between the infinitesimal deformations of a periodic bar-and-joint framework and periodic arrangements of quadrics. This intrinsic correlation provides useful geometric characteristics. A direct consequence is a method for detecting auxetic deformations, identified by a pattern consisting of homothetic ellipsoids. Examples include frameworks with higher crystallographic symmetry.
1982 ◽
Vol 40
◽
pp. 460-461
1989 ◽
Vol 47
◽
pp. 504-505
Keyword(s):
2016 ◽
Vol 48
(4)
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pp. 90-98
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2020 ◽
Vol 86
(5)
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pp. 65-72
2017 ◽