TY - JOUR
T1 - Uniqueness of equilibrium solutions in second-order gradient nonlinear elasticity
AU - Mareno, Anita
N1 - Funding Information:
This work was supported in part by the National Science Foundation through grant DMS-0072514. We also note that this work was originally written at the Center for Applied Mathematics, Cornell University and was revised while the author was at the Department of Mathematics, Cornell University.
PY - 2004/2
Y1 - 2004/2
N2 - We consider a three-dimensional elastic body whose material response function depends not only on the gradient of the deformation, but also on its second gradient. Using the elastic energy-momentum tensor as derived by Eshelby 2 we generalize a well-known uniqueness result of Knops and Stuart 8 for a Dirichlet boundary value problem associated with this response function.
AB - We consider a three-dimensional elastic body whose material response function depends not only on the gradient of the deformation, but also on its second gradient. Using the elastic energy-momentum tensor as derived by Eshelby 2 we generalize a well-known uniqueness result of Knops and Stuart 8 for a Dirichlet boundary value problem associated with this response function.
UR - http://www.scopus.com/inward/record.url?scp=3142722166&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=3142722166&partnerID=8YFLogxK
U2 - 10.1023/B:ELAS.0000033865.03618.e0
DO - 10.1023/B:ELAS.0000033865.03618.e0
M3 - Article
AN - SCOPUS:3142722166
SN - 0374-3535
VL - 74
SP - 99
EP - 107
JO - Journal of Elasticity
JF - Journal of Elasticity
IS - 2
ER -