In this paper, we discuss an inverse problem in elasticity for determining a contact domain and stress on this domain. We show that this problem is an ill-posed problem, and we establish the uniqueness and ΒΈ-conditional stability estimation for the stress.
The Inverse Scattering Problem in Three-dimensional Elasticity
β Scribed by D. Gintides
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 226 KB
- Volume
- 79
- Category
- Article
- ISSN
- 0044-2267
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The algebraic properties of the matrix arising for the three-dimensional Dirichlet problem for LamΓ© equations in a rotational domain by the boundary element method are considered. The use of the special basis leads to a matrix having a block structure with sparse blocks. The possible strategies for
Figure 4 Magnitude of reflection coefficient versus frf for three different designs; that is, three choices of s and s . f is the 0 1 2 0 design zero-reflection frequency An obvious extension of this work is to consider oblique incidence, in which case matching is required for both TEand TM-polariz
Communicated by R
Finite element models of linear elasticity arise in many application areas of structural analysis. Solving the resulting system of equations accounts for a large portion of the total cost for large, three-dimensional models, for which direct methods can be prohibitively expensive. Preconditioned Con
The authors extend the deduction of the equations satisfied by the force fields from inertial to rotating frames, when the curves of a certain family are known to be solutions for the equations of motion. Then Drimbii's equation is obtained as a consequence of this result. The works of Hadamard and