Determination of residual stress and elastic constants of silicon open stencil masks for ion projection lithography

1999 ◽  
Author(s):  
Artur Degen ◽  
Feng Shi ◽  
Eva Sossna ◽  
R. Sunyk ◽  
Joachim Voigt ◽  
...  
Keyword(s):  
Residual Stress ◽  
Elastic Constants ◽  
Projection Lithography ◽  
Ion Projection Lithography

Determination of X-ray Elastic Constants in a Ti-14Al-21Nb Nb Alloy and a Ti-14Al-21Nb/SiC Metal Matrix Composite

1990 ◽  
Vol 34 ◽  
pp. 689-698 ◽  
Author(s):  
J. Jo ◽  
R. W. Hendricks ◽  
W. D. Brewer ◽  
Karen M. Brown
Keyword(s):  
Residual Stress ◽  
Plastic Deformation ◽  
Elastic Constant ◽  
Theoretical Calculation ◽  
Metal Matrix Composite ◽  
Elastic Constants ◽  
Metal Matrix ◽  
Intrinsic Value ◽  
X Ray

Residual stress values in a material are governed by the measurements of the atomic spacings in a specific crystallographic plane and the elastic constant for that plane. It has been reported that the value of the elastic constant depends on microstructure, preferred orientation, plastic deformation and morphology [1], Thus, the theoretical calculation of the elastic constant may deviate from the intrinsic value for a real alloy.

scholarly journals Moment Pole Figures in Residual Stress Analysis

1996 ◽  
Vol 25 (2-4) ◽  
pp. 229-236 ◽  
Author(s):  
S. Matthies
Keyword(s):  
Residual Stress ◽  
Residual Stresses ◽  
Stress Analysis ◽  
Closed Form ◽  
Elastic Constants ◽  
Gaussian Functions ◽  
Pole Figures ◽  
Geometrical Mean ◽  
Residual Stress Analysis

The basic formulas (Reuss's approximation) for residual stress analysis are given in a revised form. All ODF-burdened information reduces to five “moment pole figures” simply to, calculate using modern direct algorithms. The corresponding harmonic expressions are also more compact than other formulas known from literature. For texture components described by Standard Gaussian Functions the corresponding expressions can be given in an analytically closed form. The use of the concept of the geometrical mean approximation for calculating elastic constants (avoiding Reuss's limitations) will be explained in connection with the determination of residual stresses.

Determination of Diffraction Elastic Constants of Gamma-Double-Prime in Polycrystalline Ni-Base Superalloys

2019 ◽  
Author(s):  
R.Y. Zhang ◽  
H.L. Qin ◽  
Z.N. Bi ◽  
J. Li ◽  
S. Paul ◽  
...  
Keyword(s):  
Elastic Constants

scholarly journals Thermal Stresses in Chemically Hardening Elastic Media With Application to the Molding Process

1974 ◽  
Vol 41 (3) ◽  
pp. 647-651 ◽  
Author(s):  
Myron Levitsky ◽  
Bernard W. Shaffer
Keyword(s):  
Residual Stress ◽  
Chemical Reaction ◽  
Thermal Stresses ◽  
Stress Component ◽  
Elastic Solid ◽  
Molding Process ◽  
Hardening Process ◽  
Exothermic Chemical Reaction ◽  
Component Parallel

A method has been formulated for the determination of thermal stresses in materials which harden in the presence of an exothermic chemical reaction. Hardening is described by the transformation of the material from an inviscid liquid-like state into an elastic solid, where intermediate states consist of a mixture of the two, in a ratio which is determined by the degree of chemical reaction. The method is illustrated in terms of an infinite slab cast between two rigid mold surfaces. It is found that the stress component normal to the slab surfaces vanishes in the residual state, so that removal of the slab from the mold leaves the remaining residual stress unchanged. On the other hand, the residual stress component parallel to the slab surfaces does not vanish. Its distribution is described as a function of the parameters of the hardening process.

Third Order Elastic Constants and Rayleigh Wave Dispersion of Shot Peened Aero-Engine Materials

2013 ◽  
Vol 768-769 ◽  
pp. 201-208 ◽  
Author(s):  
Marek Rjelka ◽  
Martin Barth ◽  
Sven Reinert ◽  
Bernd Koehler ◽  
Joachim Bamberg ◽  
...  
Keyword(s):  
Residual Stress ◽  
Rayleigh Wave ◽  
Elastic Constants ◽  
Cold Work ◽  
High Strength ◽  
Wave Dispersion ◽  
Third Order ◽  
Third Order Elastic Constants ◽  
Aero Engine ◽  
Rayleigh Wave Dispersion

Aero-engine components exposed to high mechanical stresses are made of high-strength alloys and additionally, they are surface treated by shot peening. This process introduces compressive residual stress into the material making it less sensitive to stress corrosion cracking and fatigue and therefore benefits the components performance and lifetime. Moreover cold work is induced in an amount depending on the peening parameters. To approximate the remaining lifetime, a quantitative, non-destructive method for stress assessment is required. It was shown that surface treatment of such alloys can be characterized by broadband Rayleigh wave dispersion measurements. However, the relative contributions of residual stress and cold work, respectively, remained an open point. This paper presents the determination of third order elastic constants (TOEC) for IN718 and Ti6246, providing, together with a model for the inversion of dispersion data, a quantitative access to the acoustoelastic effect. Finally, some measurements of differently treated samples are given.

Brillouin-scattering determination of the elastic constants of epitaxial fccC60film

1995 ◽  
Vol 52 (12) ◽  
pp. R8707-R8710 ◽  
Author(s):  
D. Fioretto ◽  
G. Carlotti ◽  
G. Socino ◽  
S. Modesti ◽  
C. Cepek ◽  
...  
Keyword(s):  
Elastic Constants ◽  
Brillouin Scattering
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