Uniform stress field inside an anisotropic non-elliptical inhomogeneity interacting with a screw dislocation

We consider an elliptical inhomogeneity embedded in an infinite isotropic elastic matrix subjected to in-plane deformations under the assumption of remote uniform loading. The inhomogeneity-matrix interface is assumed to be imperfect, which is simulated by the spring-layer model with vanishing thickness. Its behavior is based on the assumption that tractions are continuous but displacements are discontinuous across the interface. We further assume that the same degree of imperfection on the interface is realized in both the normal and tangential directions. We find a form of interface function, which leads to uniform stress field within the elliptical inhomogeneity. The explicit expressions for the uniform stress field within the elliptical inhomogeneity are derived. The obtained results are verified by comparison with existing solutions. The condition under which the internal stress field is not only uniform but also hydrostatic is also presented.

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The 〈111〉 Elliptic Inclusion in an Anisotropic Solid of Cubic Symmetry

Journal of Applied Mechanics ◽

10.1115/1.3162093 ◽

1982 ◽

Vol 49 (2) ◽

pp. 353-360 ◽

Cited By ~ 1

Author(s):

H. C. Yang ◽

Y. T. Chou

Keyword(s):

Stress Field ◽

Uniform Stress ◽

Elliptic Inclusion ◽

Cubic Symmetry ◽

Elastic Fields ◽

Closed Form Solutions ◽

Strain Transformation ◽

Anisotropic Solid ◽

Uniform Stress Field ◽

Free Strain

This paper deals with a generalized plane problem in which a uniform stress-free strain transformation takes place in the region of an elliptic cyclinder (the inclusion) oriented in the 〈111〉 direction in an anisotropic solid of cubic symmetry. Closed-form solutions for the elastic fields and the strain energies are presented. The perturbation of an otherwise uniform stress field due to a 〈111〉 elliptic inhomogeneity is also treated including two extreme cases, elliptic cavities and rigid inhomogeneities.

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Research on Nonlinear Damping Characteristics of Damping Alloy With Uniform Stress Field

Volume 1 ◽

10.1115/esda2004-58144 ◽

2004 ◽

Author(s):

Hongzhao Liu ◽

Ziying Wu ◽

Lilan Liu ◽

Daning Yuan ◽

Zhongming Zhang

Keyword(s):

Stress Field ◽

Nonlinear Function ◽

Nonlinear Damping ◽

Damping Capacity ◽

Internal Damping ◽

Uniform Stress ◽

Nonlinear Relation ◽

Uniform Stress Field ◽

Half Power ◽

Versus Strain

For the high damping metal material like damping alloy, the damping capacity usually changes with the strain amplitude and frequency nonlinearly. First, to extract the pattern of the internal damping versus strain, two time-domain calculation methods are presented in this paper. One is the moving exponent method (MEM for short) based on FFT (MEM+FFT) and the other is the moving autoregressive model method (MARM). The computing accuracy of the two methods has been compared through numerical simulations. The nonlinear relation curve of loss factor versus strain is achieved by the impulse excitation experiment employing uniform stress field. Then, to extract the pattern of the internal damping versus vibrating frequency, the sine sweep-frequency excitation experiment based on the half-power bandwidth method is carried out. The resulting curve indicates that the internal damping is also a nonlinear function of frequency.

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Atomic transport via point defects in crystals III. Migration in a stress field

Proceedings of the Royal Society of London Series A - Mathematical and Physical Sciences ◽

10.1098/rspa.1985.0031 ◽

1985 ◽

Vol 398 (1814) ◽

pp. 203-208 ◽

Cited By ~ 3

Keyword(s):

Stress Field ◽

Point Defects ◽

Strain Tensor ◽

Three Dimensional ◽

Molecular Volume ◽

Uniform Stress ◽

Atomic Transport ◽

Elastic Dipole ◽

Uniform Stress Field ◽

Defect Species

The kinetic theory of isothermal atomic transport via point defects that was presented in two previous papers (Franklin, A. D. & Lidiard, A. B. Proc. R. Soc. Lond . A 389, 405–431 (1983) and Franklin, A. D. & Lidiard, A. B. Proc. R. Soc. Lond . A 392, 457–473 (1984)) has been expanded into a three-dimensional formulation to analyse transport in an applied non-uniform stress field. The fluxes of the various defect species take the general form familiar from non-equilibrium thermodynamics, while the contribution to the force on defect species Y arising from the stress σ αβ is confirmed to be v ∇(λ (Y) αβ σ αβ ), where v is the molecular volume of the solid and λ (Y) αβ is the elastic-dipole strain tensor of the defect species Y (summation over repeated Cartesian indices α, β is here assumed). Full details of these calculations are presented in Lidiard, A. B. A. E. R. E. Rep . no R. 11367 (1984).

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