The first-order flexibility of a crystal framework

19 Mar 2018 Kastis E. Power S. C.

Four sets of necessary and sufficient conditions are obtained for the first-order rigidity of a periodic bond-node framework \C in R^d which is of crystallographic type. In particular, an extremal rank characterisation is obtained which incorporates a multi-variable matrix-valued transfer function \Psi_\C(z) defined on the product space C^d_* = (C\{0})^d... (read more)

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  • MATHEMATICAL PHYSICS
  • COMMUTATIVE ALGEBRA
  • MATHEMATICAL PHYSICS