Boundary identifiability of residual stress via the Dirichlet to Neumann map

Inverse Problems

Volumn 13, Issue 4, 1997, Pages 1107-1119

  Robertson, R L ^a,b  

^a UNIVERSITY OF KENTUCKY   (United States)

^b TEXAS A M INTERNATIONAL UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042734345     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/13/4/015     Document Type: Article

References (16)

1. Akamatsu M, Nakamura G and Steinberg S 1991 Identification of Lamé coefficients from boundary observations Inverse Problems 7 335-54
2. Brown R 1994 Private communication
3. Calderon A 1980 On an inverse boundary value problem Seminar on Numerical Analysis and its Applications to Continuum Physics (Rio de Janeiro: Soc. Brasileira de Matemática) pp 271-90
4. Ciarlet P 1987 Mathematical Elasticity, vol 1 Three-Dimensional Elasticity (Amsterdam: North-Holland)
5. Davies E 1989 Heat Kernels and Spectral Theory (Cambridge: Cambridge University Press)
6. Hoger A 1985 On the residual stress possible in an elastic body with material symmetry Arch. Rat. Mech. Anal. 88 271-90
7. _ 1986 On the determination of residual stress in an elastic body J. Elasticity 16 303-24
8. Ikehata M 1990 Inversion formulas for the linearized problem for an inverse boundary value problem in elastic prospection SIAM J. Appl. Math. 50 1635-44
9. Kohn R and Vogelius M 1984 Determining conductivity by boundary measurements Commun. Pure Appl. Math. 37 289-98
10. Man C-S and Carlson D 1994 On the traction problem of dead loading in linear elasticity with initial stress Arch. Rat. Mech. Anal. 128 223-47
11. Man C-S and Lu W 1989 Towards an acoustoelastic theory for measurement of residual stress J. Elasticity 17 159-82
12. Nakamura G and Uhlmann G 1993 Identification of Lamé parameters by boundary measurements Am. J. Math. 115 1161-87
13. _ 1994 Global uniqueness for an inverse boundary problem arising in elasticity Inv. Math. 118 457-74
14. _ 1995 Inverse problems at the boundary for an elastic medium SIAM J. Math. Anal. 26 263-79
15. Robertson R 1996 Doctoral Thesis University of Kentucky, Lexington, KY
16. Uhlmann G 1992 Inverse boundary value problems and applications Asterisque 207 153-207