Size-dependent effective elastic constants of solids containing nano-inhomogeneities with interface stress

2005 ◽  
Vol 53 (7) ◽  
pp. 1574-1596 ◽  
Author(s):  
H.L. Duan ◽  
J. Wang ◽  
Z.P. Huang ◽  
B.L. Karihaloo
Keyword(s):  
Elastic Constants ◽  
Interface Stress ◽  
Size Dependent ◽  
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.

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

Effective elastic constants in acoustoelasticity

2008 ◽  
Vol 92 (24) ◽  
pp. 244105 ◽  
Author(s):  
Marc Duquennoy ◽  
Mohammadi Ouaftouh ◽  
Dany Devos ◽  
Frédéric Jenot ◽  
Mohamed Ourak
Keyword(s):  
Elastic Constants ◽  
Effective Elastic Constants

Elastic Constants of Composite Materials by an Inverse Determination Method Based on A Hybrid Genetic Algorithm

2010 ◽  
Vol 26 (3) ◽  
pp. 345-353 ◽  
Author(s):  
S.-F. Hwang ◽  
J.-C. Wu ◽  
Evgeny Barkanovs ◽  
Rimantas Belevicius
Keyword(s):  
Genetic Algorithm ◽  
Elastic Constants ◽  
Hybrid Genetic Algorithm ◽  
Transversely Isotropic ◽  
Determination Method ◽  
Element Analysis ◽  
Plane Shear ◽  
Effective Elastic Constants ◽  
Testing Data ◽  
Out Of Plane

AbstractA numerical method combining finite element analysis and a hybrid genetic algorithm is proposed to inversely determine the elastic constants from the vibration testing data. As verified from composite material specimens, the repeatability and accuracy of the proposed inverse determination method are confirmed, and it also proves that the concept of effective elastic constants is workable. Moreover, three different sets of assumptions to reduce the five independent elastic constants to four do not make clear difference on the obtained results by the proposed method. In addition, to obtain robust values of the five elastic constants for a transversely isotropic material, it is recommended to use the out-of-plane Poisson's ratio instead of the out-of-plane shear modulus as the fifth one.

Effective Elastic Constants of Superlattice Films Measured by Line-Focus Acoustic Microscopy

1995 ◽  
Vol 117 (4) ◽  
pp. 395-401 ◽  
Author(s):  
Jin O. Kim ◽  
Jan D. Achenbach ◽  
Meenam Shinn ◽  
Scott A. Barnett
Keyword(s):  
Elastic Constants ◽  
Calculation Method ◽  
Measurement Method ◽  
Acoustic Microscopy ◽  
Effective Elastic Constants ◽  
Dispersion Data ◽  
Rough Interfaces ◽  
Film Substrate ◽  
Sharp Interfaces ◽  
Line Focus

The effective elastic constants of single-crystal nitride superlattice films have been determined by calculation and by measurement methods. The calculation method uses formulas to calculate the effective elastic constants of superlattices from the measured elastic constants of the constituent layers. The calculated effective elastic constants are tested by comparing the corresponding surface acoustic wave (SAW) velocities calculated for thin-film/substrate systems with the corresponding SAW velocities measured by line-focus acoustic microscopy (LFAM). The measurement method determines the effective elastic constants of the superlattices directly from the SAW velocity dispersion data measured by LFAM. Two kinds of superlattice films are considered: one has relatively flat and sharp interfaces between layers, and the other has rough interfaces with interdiffusion. The calculation method has yielded very good results for the superlattices with flat and sharp interfaces but not for the superlattices with rough interfaces. The measurement method yields results for both kinds, with the restriction that the constituent layers have similar crystal symmetries.

ULTRASONIC CHARACTERIZATION OF EFFECTIVE ELASTIC CONSTANTS AND TEXTURE IN ALUMINIUM CORRELATED WITH EBSD

2008 ◽  
Author(s):  
S. D. Essex ◽  
M. D. G. Potter ◽  
R. S. Dobedoe ◽  
S. Dixon ◽  
Donald O. Thompson ◽  
...  
Keyword(s):  
Elastic Constants ◽  
Effective Elastic Constants ◽  
Ultrasonic Characterization
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