TY - JOUR
T1 - Intrinsic formulation of the displacement-traction problem in linearized elasticity
AU - Ciarlet, Philippe G.
AU - Mardare, Cristinel
PY - 2014/6
Y1 - 2014/6
N2 - The displacement-traction problem of linearized elasticity is a system of partial differential equations and boundary conditions whose unknown is the displacement field inside a linearly elastic body. We explicitly identify here the corresponding boundary conditions satisfied by the linearized strain tensor field associated with such a displacement field. Using this identification, we are then able to provide an intrinsic formulation of the displacement-traction problem of linearized elasticity, by showing how it can be recast into a boundary value problem whose unknown is the linearized strain tensor field.
AB - The displacement-traction problem of linearized elasticity is a system of partial differential equations and boundary conditions whose unknown is the displacement field inside a linearly elastic body. We explicitly identify here the corresponding boundary conditions satisfied by the linearized strain tensor field associated with such a displacement field. Using this identification, we are then able to provide an intrinsic formulation of the displacement-traction problem of linearized elasticity, by showing how it can be recast into a boundary value problem whose unknown is the linearized strain tensor field.
KW - boundary conditions for the linearized strain tensor
KW - displacement-traction problem
KW - Intrinsic linearized elasticity
UR - http://www.scopus.com/inward/record.url?scp=84888032664&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84888032664&origin=recordpage
U2 - 10.1142/S0218202513500814
DO - 10.1142/S0218202513500814
M3 - RGC 21 - Publication in refereed journal
VL - 24
SP - 1197
EP - 1216
JO - Mathematical Models and Methods in Applied Sciences
JF - Mathematical Models and Methods in Applied Sciences
SN - 0218-2025
IS - 6
ER -