Environmentally-Induced Expansion of Heterogeneous Media

1989 ◽  
Vol 56 (3) ◽  
pp. 546-549 ◽  
Author(s):  
Kalman Schulgasser
Keyword(s):  
Composite Materials ◽  
Relative Humidity ◽  
Elastic Constants ◽  
Heterogeneous Media ◽  
Direct Method ◽  
Environmental Variable ◽  
Effective Elastic Constants ◽  
Effective Expansion ◽  
Expansion Behavior

Relationships between effective expansion behavior and effective elastic constants for composite materials have been known for many years. In the present work composites are considered for which more than one environmental variable (e.g., temperature and relative humidity) cause expansions. A simple direct method to relate effective expansions due to different causes is developed. It is shown that most of the previous elasticity-expansion behavior results are gotten as corollaries, and the applicability of these relationships is broadened.

Geometrical Anisotropy in Biphase Particle Reinforced Composites

2010 ◽  
Vol 77 (4) ◽  
Author(s):  
Shivakumar I. Ranganathan ◽  
Paolo Decuzzi ◽  
Lewis T. Wheeler ◽  
Mauro Ferrari
Keyword(s):  
Composite Materials ◽  
Elastic Constants ◽  
Crucial Role ◽  
Particle Shape ◽  
Volume Fraction ◽  
Effective Stiffness ◽  
Reinforced Composites ◽  
Effective Elastic Constants ◽  
Anisotropy Index ◽  
Particle Reinforced Composites

Particle shape plays a crucial role in the design of novel reinforced composites. We introduce the notion of a geometrical anisotropy index A to characterize the particle shape and establish its relationship with the effective elastic constants of biphase composite materials. Our analysis identifies three distinct regions of A: (i) By using ovoidal particles with small A, the effective stiffness scales linearly with A for a given volume fraction α; (ii) for intermediate values of A, the use of prolate particles yield better elastic properties; and (iii) for large A, the use of oblate particles result in higher effective stiffness. Interestingly, the transition from (ii) to (iii) occurs at a critical anisotropy Acr and is independent of α.

Absolute effective elastic constants of composite materials

2016 ◽  
Vol 57 (5) ◽  
pp. 897-920 ◽  
Author(s):  
Osman Bulut ◽  
Necla Kadioglu ◽  
Senol Ataoglu
Keyword(s):  
Composite Materials ◽  
Elastic Constants ◽  
Effective Elastic Constants

Effective Elastic Moduli of Composite Materials: Reduced Parameter Dependence

1997 ◽  
Vol 50 (11S) ◽  
pp. S39-S43 ◽  
Author(s):  
John Dundurs ◽  
Iwona Jasiuk
Keyword(s):  
Composite Materials ◽  
Elastic Constants ◽  
Elastic Moduli ◽  
Plane Elasticity ◽  
Parameter Dependence ◽  
Effective Elastic Moduli ◽  
Independent Variables ◽  
Effective Elastic Constants

In this paper, we focus on the effective elastic constants of composite materials and pay attention to the possibility of reducing the number of independent variables. Surprisingly, this important issue has hardly been explored before. In our analysis, we rely on a new result in plane elasticity due to Cherkaev, Lurie, and Milton (1992), and use Dundurs constants (Dundurs, 1967, 1969). As an example, we consider a result for the effective elastic moduli of a composite containing a dilute concentration of perfectly-bonded circular inclusions.

Anisotropic Elasticity

1996 ◽  
Author(s):  
T. T. C. Ting
Keyword(s):  
Composite Materials ◽  
Elastic Constants ◽  
Piezoelectric Materials ◽  
Anisotropic Materials ◽  
Anisotropic Elasticity ◽  
Stress Singularities ◽  
Comprehensive Survey ◽  
The Subject ◽  
Key Topics ◽  
First Time

Anisotropic Elasticity offers for the first time a comprehensive survey of the analysis of anisotropic materials that can have up to twenty-one elastic constants. Focusing on the mathematically elegant and technically powerful Stroh formalism as a means to understanding the subject, the author tackles a broad range of key topics, including antiplane deformations, Green's functions, stress singularities in composite materials, elliptic inclusions, cracks, thermo-elasticity, and piezoelectric materials, among many others. Well written, theoretically rigorous, and practically oriented, the book will be welcomed by students and researchers alike.

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.

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