Biot stress and strain in thin-plate theory for large deformations
VB Myntiuk - Journal of Applied and Industrial Mathematics, 2018 - Springer
We propose a theory of nonlinear deformation of a plate on the basis of an energetically
conjugate pair of the Biot stress tensors and the right stretch tensor. When the dimensionality
of the problem is reduced from three to two, the classical Kirchhoff conjectures are used, the
linear part is retained in the expansion of the right stretch tensor with respect to a
degenerate coordinate, and no additional simplifications are assumed. Connection is
obtained between the asymmetric and symmetric components of the Biot tensor; the …
conjugate pair of the Biot stress tensors and the right stretch tensor. When the dimensionality
of the problem is reduced from three to two, the classical Kirchhoff conjectures are used, the
linear part is retained in the expansion of the right stretch tensor with respect to a
degenerate coordinate, and no additional simplifications are assumed. Connection is
obtained between the asymmetric and symmetric components of the Biot tensor; the …
Biot stress and strain in thin-plate theory for large deformations
VB Mintiuk - Sibirskii Zhurnal Industrial'noi Matematiki, 2018 - mathnet.ru
… Abstract: We propose a theory of nonlinear deformation of a plate on the basis of an
energetically conjugate pair of the Biot stress tensors and the right stretch tensor. When the
dimensionality of the problem is reduced from three to two, the classical Kirchhoff
conjectures are used, the linear part is retained in the expansion of the right stretch tensor
with respect to a degenerate coordinate, and no additional simplifications are assumed.
Connection is obtained between the asymmetric and symmetric components of the Biot …
energetically conjugate pair of the Biot stress tensors and the right stretch tensor. When the
dimensionality of the problem is reduced from three to two, the classical Kirchhoff
conjectures are used, the linear part is retained in the expansion of the right stretch tensor
with respect to a degenerate coordinate, and no additional simplifications are assumed.
Connection is obtained between the asymmetric and symmetric components of the Biot …