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Boundary identifiability of residual stress via the Dirichlet to Neumann map

1997; IOP Publishing; Volume: 13; Issue: 4 Linguagem: Inglês

10.1088/0266-5611/13/4/015

1361-6420

Richard L. Robertson,

Numerical methods in engineering

An interesting problem in nondestructive evaluation is the determination of the residual stress of an elastic body. Residual stress is the stress in a body in the absence of any external forces. In the linear theory of elasticity, the residual stress in a body is represented by a divergence-free, second-order symmetric tensor field with vanishing boundary traction. If the elastic properties of the body are described by Lamé functions and and residual stress T, it is shown in this paper (for dimensions ) that T and are determined at any point on the boundary of the body by the Dirichlet to Neumann map.