TY - JOUR
T1 - Completeness of root functions for elasticity problems in a strip
AU - Titeux, I.
AU - Yakubov, Y.
PY - 1998/8
Y1 - 1998/8
N2 - In order to improve the expansion of stresses close to the edge for a thin plate, a corrective term is added to the displacement. This corrective displacement must solve a problem posed over an infinite domain. In order to get the behavior of this term far from the edge, we write it as a combination of root functions of the problem. To do this, we have to prove that a system of root functions is complete. It follows from this study that the corrective term decreases exponentially.
AB - In order to improve the expansion of stresses close to the edge for a thin plate, a corrective term is added to the displacement. This corrective displacement must solve a problem posed over an infinite domain. In order to get the behavior of this term far from the edge, we write it as a combination of root functions of the problem. To do this, we have to prove that a system of root functions is complete. It follows from this study that the corrective term decreases exponentially.
UR - http://www.scopus.com/inward/record.url?scp=0032384393&partnerID=8YFLogxK
U2 - 10.1142/S0218202598000354
DO - 10.1142/S0218202598000354
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AN - SCOPUS:0032384393
SN - 0218-2025
VL - 8
SP - 761
EP - 786
JO - Mathematical Models and Methods in Applied Sciences
JF - Mathematical Models and Methods in Applied Sciences
IS - 5
ER -