Research output: Contribution to journal › Article
Non-linear plane waves in materials having hexagonal internal structure. / Porubov, A.V.; Berinskii, I.E.
In: International Journal of Non-Linear Mechanics, 2014, p. 27-33.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Non-linear plane waves in materials having hexagonal internal structure
AU - Porubov, A.V.
AU - Berinskii, I.E.
PY - 2014
Y1 - 2014
N2 - Three different continuum limits for modeling non-linear plane waves in two-dimensional hexagonal lattice are obtained. New coupled non-linear continuum equations are obtained to study the interaction of a macro-strain wave and the waves caused by variations in an internal structure. New analytical solutions are obtained to describe localized non-linear strain waves. It is shown that the solutions are different from those of the 1D lattice model due to the inclusion of non-neighboring interactions in a lattice. © 2014 Elsevier Ltd.
AB - Three different continuum limits for modeling non-linear plane waves in two-dimensional hexagonal lattice are obtained. New coupled non-linear continuum equations are obtained to study the interaction of a macro-strain wave and the waves caused by variations in an internal structure. New analytical solutions are obtained to describe localized non-linear strain waves. It is shown that the solutions are different from those of the 1D lattice model due to the inclusion of non-neighboring interactions in a lattice. © 2014 Elsevier Ltd.
U2 - 10.1016/j.ijnonlinmec.2014.07.003
DO - 10.1016/j.ijnonlinmec.2014.07.003
M3 - Article
SP - 27
EP - 33
JO - International Journal of Non-Linear Mechanics
JF - International Journal of Non-Linear Mechanics
SN - 0020-7462
ER -
ID: 7065022