Calculation of nonlinear effective elastic constants of polycrystalline materials

1996 ◽  
Vol 79 (8) ◽  
pp. 3963 ◽  
Author(s):  
H. Kiewel ◽  
L. Fritsche ◽  
T. Reinert
Keyword(s):  
Elastic Constants ◽  
Polycrystalline Materials ◽  
Effective Elastic Constants

scholarly journals Elastic Properties of Polycrystals: A Review

1990 ◽  
Vol 12 (1-3) ◽  
pp. 1-14 ◽  
Author(s):  
S. Hirsekorn
Keyword(s):  
Single Crystal ◽  
Elastic Properties ◽  
Elastic Constants ◽  
Polycrystalline Materials ◽  
Effective Elastic Constants ◽  
Structure Properties

The elastic properties of polycrystals depend on the single-crystal elastic constants of the crystallites which build up the polycrystal and on the manner in which the crystallites are connected. Because of the technical importance of polycrystalline materials a lot of papers deal with the problem to calculate effective elastic constants of polycrystals from single-crystal and structure properties. This paper gives a review concerning the most important theories and methods respecting this matter.

Calculation of Effective Elastic Constants for Polycrystalline Materials

1998 ◽  
Vol 273-275 ◽  
pp. 617-624 ◽  
Author(s):  
Th. Reinert ◽  
H. Kiewel ◽  
Hans Joachim Bunge ◽  
L. Fritsche
Keyword(s):  
Elastic Constants ◽  
Polycrystalline Materials ◽  
Effective Elastic Constants

Effective Elastic Constants of Fiber-Eutectics and Transformation Particles Composite Ceramic

2010 ◽  
Vol 177 ◽  
pp. 182-185 ◽  
Author(s):  
Bao Feng Li ◽  
Jian Zheng ◽  
Xin Hua Ni ◽  
Ying Chen Ma ◽  
Jing Zhang
Keyword(s):  
Elastic Modulus ◽  
Elastic Constant ◽  
Effective Stress ◽  
Elastic Constants ◽  
Transverse Isotropy ◽  
Analytical Formula ◽  
Composite Ceramic ◽  
Phase Model ◽  
Composite Ceramics ◽  
Effective Elastic Constants

The composite ceramics is composed of fiber-eutectics, transformation particles and matrix particles. First, the recessive expression between the effective stress in fiber-eutectic and the flexibility increment tensor is obtained according to the four-phase model. Second, the analytical formula which contains elastic constant of the fiber-eutectic is obtained applying Taylor’s formula. The eutectic is transverse isotropy, so there are five elastic constants. Third, the effective elastic constants of composite ceramics are predicted. The result shows that the elastic modulus of composite ceramic is reduced with the increase of fibers fraction and fibers diameter.

The dislocations contrast factors of cubic crystals in the Zener constant range between zero and unity

2002 ◽  
Vol 17 (2) ◽  
pp. 104-111 ◽  
Author(s):  
I. C. Dragomir ◽  
T. Ungár
Keyword(s):  
Elastic Constants ◽  
Elastic Anisotropy ◽  
Profile Analysis ◽  
Anisotropy Constant ◽  
Diffraction Peak ◽  
Polycrystalline Materials ◽  
Ionic Crystals ◽  
Strain Anisotropy ◽  
Cubic Crystals ◽  
Lattice Distortions

Diffraction peak profiles broaden due to the smallness of crystallites and the presence of lattice defects. Strain broadening of powders of polycrystalline materials is often anisotropic in terms of the hkl indices. This kind of strain anisotropy has been shown to be well interpreted assuming dislocations as one of the major sources of lattice distortions. The knowledge of the dislocation contrast factors are inevitable for this interoperation. In a previous work the theoretical contrast factors were evaluated for cubic crystals for elastic constants in the Zener constant range 0.5≤Az≤8. A large number of ionic crystals and many refractory metals have elastic anisotropy, Az, well below 0.5. In the present work the contrast factors for this lower anisotropy-constant range are investigated. The calculations and the corresponding peak profile analysis are tested on ball milled PbS and Nb and nanocrystalline CeO2.

Effective elastic constants of hexagonal array of soft fibers

2017 ◽  
Vol 139 ◽  
pp. 395-405 ◽  
Author(s):  
Piotr Drygaś ◽  
Simon Gluzman ◽  
Vladimir Mityushev ◽  
Wojciech Nawalaniec
Keyword(s):  
Elastic Constants ◽  
Hexagonal Array ◽  
Effective Elastic Constants
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