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 -