Sur un probléme dynamique d'élasticité lineaire non-isotherme: Etude asymptotique et théorique

Abstract

K§ ©@ 􀀀¤ H A t r s TF􀀀Cd wmth , T ¤rV±􀀀 £@¡ ¨ l rft 􀀀 ¶At ¤ w ¤ ¯¤ b .d ºz Yl Akt ±􀀀 A` ±􀀀 ¨ ® ¯A Y A m 􀀀 A` d 􀀀 ym§ A dn wl 􀀀 £@h CAqtm 􀀀 wls 􀀀 xCd , y`S 􀀀 Ab . Akt ³􀀀 w A ¤ A` ±􀀀 Ty ® ^f 􀀀 ¯ A` Yl wO 􀀀 .rfO 􀀀n this thesis we are interested in studying a homogeneous flexible body that occupies a three- dimensional field with friction on a sharp part We first prove the existence and the results of uniqueness of the weak solution .Then we study the converging behavior of these solutions when one of the dimensions of the field tends to zero.3D conservation equations and friction law obtained.The existence and uniqueness of the solution of the sharp problem have been proven, so the final problem is well defined and has the meaning of