scholarly journals Calculation of Linear and Non-Linear Elastic Properties of Polycrystalline Materials by Use of a Cluster Model

1997 ◽  
Vol 28 (3-4) ◽  
pp. 261-271 ◽  
Author(s):  
H. Kiewel ◽  
H. J. Bunge ◽  
L. Fritsche
Keyword(s):  
Elastic Properties ◽  
Grain Shape ◽  
Cluster Method ◽  
Elastic Behavior ◽  
Polycrystalline Materials ◽  
Linear Elastic ◽  
Effective Elastic Constants ◽  
Real Material ◽  
Non Linear ◽  
Effective Constants

In the present paper we have put together some results of a cluster method that allows the calculation of linear and also non-linear effective elastic constants of polycrystalline materials within an iterative self-consistent scheme. The conceptual idea consists in simulating the real material by a suitably chosen cluster of single grains. One can then determine the elastic properties of the material under study by examining the elastic behavior of the cluster. The method is capable of resolving the effect of the grain shape, that is determined by the coordination number of the grains on the effective constants.

scholarly journals Effect of the Grain Shape on the Elastic Constants of Polycrystalline Materials

1996 ◽  
Vol 28 (1-2) ◽  
pp. 17-33 ◽  
Author(s):  
H. Kiewel ◽  
H. J. Bunge ◽  
L. Fritsche
Keyword(s):  
Boundary Value Problem ◽  
Coordination Number ◽  
Elastic Constants ◽  
Elastic Moduli ◽  
Grain Shape ◽  
Polycrystalline Materials ◽  
Stress And Strain ◽  
Effective Elastic Moduli ◽  
Real Material ◽  
Effective Constants

We examine the influence of the grain shape on the effective elastic moduli of polycrystalline materials. For that purpose the real material is simulated by a cluster of Wigner-Seitz cells. For clarity each aggregate consists of grains with only one type of shape. Therefore we can classify each cluster by the coordination number of its grains. To determine the elastic moduli a homogeneous deformation is subjected to the surface of the cluster. The solution of this boundary value problem yields the average stress and strain governing inside the material whose interconnection by Hooke's law leads to the sought-for effective constants.The most important result is that with increasing coordination number the elastic moduli decrease.

Non-linear elastic properties of plasma-sprayed zirconia coatings and associated relationships with processing conditions

2007 ◽  
Vol 55 (14) ◽  
pp. 4667-4678 ◽  
Author(s):  
Y. Liu ◽  
T. Nakamura ◽  
V. Srinivasan ◽  
A. Vaidya ◽  
A. Gouldstone ◽  
...  
Keyword(s):  
Elastic Properties ◽  
Processing Conditions ◽  
Linear Elastic ◽  
Non Linear ◽  
Plasma Sprayed

Non-linear elastic behavior of light fibrous materials

1999 ◽  
Vol 12 (1) ◽  
pp. 157-162 ◽  
Author(s):  
M. Baudequin ◽  
G. Ryschenkow ◽  
S. Roux
Keyword(s):  
Elastic Behavior ◽  
Fibrous Materials ◽  
Linear Elastic ◽  
Non Linear

Intrinsic failure and non-linear elastic behavior of glasses

2005 ◽  
Vol 351 (27-29) ◽  
pp. 2324-2328 ◽  
Author(s):  
Prabhat K. Gupta ◽  
Charles R. Kurkjian
Keyword(s):  
Elastic Behavior ◽  
Linear Elastic ◽  
Non Linear

scholarly journals Mechanical and failure bahaviour in carbon/epoxy composites

2002 ◽  
Vol 56 (9) ◽  
pp. 361-368 ◽  
Author(s):  
Momcilo Stevanovic ◽  
Danijela Sekulic-Pesikan
Keyword(s):  
Mechanical Properties ◽  
Flexural Modulus ◽  
Epoxy Composites ◽  
Elastic Behavior ◽  
Strength Analysis ◽  
Static Characteristics ◽  
Failure Initiation ◽  
Linear Elastic ◽  
Initiation And Propagation ◽  
Non Linear

A review of the mechanical properties and failure initiation and propagation in carbon/epoxy composites is presented. The results of the study of the macromechanical static characteristics, non-linear elastic behavior flexural modulus and shear properties of unidirectional composites (UDC), as well as, of tensile, compression and flexural moduli, strength analysis edge and hybrid effects in multidirectional composites (MDC) were discussed A discussion of the non-linear elastic behavior of carbon/epoxy UDC, the flexural moduli of both UDC and MDC, strength analysis and edge effects of laminates is emphasized.

scholarly journals Non-linear elastic properties of the lingual and facial tissues assessed by indentation technique

2005 ◽  
Vol 27 (10) ◽  
pp. 884-892 ◽  
Author(s):  
J.M. Gerard ◽  
J. Ohayon ◽  
V. Luboz ◽  
P. Perrier ◽  
Y. Payan
Keyword(s):  
Elastic Properties ◽  
Indentation Technique ◽  
Linear Elastic ◽  
Non Linear

Non-linear elastic behavior of hexagonal silicon carbide

2014 ◽  
Vol 251 (6) ◽  
pp. 1186-1191 ◽  
Author(s):  
Sindu Jones ◽  
Chooracactu Sukumara Menon
Keyword(s):  
Silicon Carbide ◽  
Elastic Behavior ◽  
Linear Elastic ◽  
Non Linear
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