TY - JOUR
T1 - Continuous dependence on initial geometry in linear elastodynamics on a half-cylinder
AU - Knops, R. J.
AU - Quintanilla, R
PY - 2009/11
Y1 - 2009/11
N2 - Continuous dependence on the initial time geometry is established for the mean-square integral of the displacement in a linear inhomogeneous anisotropic elastic semi-infinite cylinder in motion subject to a prescribed time-dependent base displacement and initial data. A bound, newly derived for the total energy, in conjunction with backward continuation in time of the unperturbed and perturbed displacements, is employed to obtain the result. © 2008 Elsevier Ltd. All rights reserved.
AB - Continuous dependence on the initial time geometry is established for the mean-square integral of the displacement in a linear inhomogeneous anisotropic elastic semi-infinite cylinder in motion subject to a prescribed time-dependent base displacement and initial data. A bound, newly derived for the total energy, in conjunction with backward continuation in time of the unperturbed and perturbed displacements, is employed to obtain the result. © 2008 Elsevier Ltd. All rights reserved.
KW - Continuous dependence
KW - Elasticity
KW - Initial time geometry
UR - http://www.scopus.com/inward/record.url?scp=71949103446&partnerID=8YFLogxK
U2 - 10.1016/j.ijengsci.2008.10.011
DO - 10.1016/j.ijengsci.2008.10.011
M3 - Article
SN - 0020-7225
VL - 47
SP - 1265
EP - 1273
JO - International Journal of Engineering Science
JF - International Journal of Engineering Science
IS - 11-12
ER -