Identification problems in linear elasticity

[摘要] Let Omega be abounded domain in R-'' with C-2-boundary and let D be a Lipschitz domain with (D) over bar subset of Omega. We consider the inverse problem (determining D) to the system of linear elasticity D-i((mu(D)(delta(ij)delta(rs) + delta(ir)delta(js)) + lambda(D) delta(ir)delta(js))D(j)u(s) ) = 0 in Omega, where mu(D) = <(mu)over tilde>(chi D) + mu(chi R)n(/D) and lambda(D) = <(lambda)over tilde>(chi D) + lambda(chi R)n(/D). Under the condition on the Lame constants (lambda - <(lambda)over tilde>)(mu - <(mu)over tilde>) greater than or equal to 0, we show that D is uniquely determined by the complete knowledge of the Dirichlet-to-Neumann map. We also obtain an uniqueness result for the monotone case from one boundary measurement. (C) 1997 Academic Press

[发布日期] 1997-11-15