scholarly journals Elastic properties of few unit cell thick superconducting crystals of Bi2Sr2CaCu2O8+δ

2019 ◽  
Vol 115 (14) ◽  
pp. 143102 ◽  
Author(s):  
Sudhir Kumar Sahu ◽  
Digambar Jangade ◽  
Arumugam Thamizhavel ◽  
Mandar M. Deshmukh ◽  
Vibhor Singh
Keyword(s):  
Elastic Properties ◽  
Unit Cell

Elastic properties and phonon conductivities of Ti3Al(C0.5,N0.5)2 and Ti2Al(C0.5,N0.5) solid solutions

2008 ◽  
Vol 23 (6) ◽  
pp. 1517-1521 ◽  
Author(s):  
M. Radovic ◽  
A. Ganguly ◽  
M.W. Barsoum
Keyword(s):  
Elastic Properties ◽  
Solid Solutions ◽  
Room Temperature ◽  
Elastic Moduli ◽  
Unit Cell ◽  
Young’S Moduli ◽  
Temperature Shear ◽  
End Members ◽  
Cell Volumes ◽  
Thermal Conductivities

Herein we compare the lattice parameters, room temperature shear and Young’s moduli, and phonon thermal conductivities of Ti2AlC0.5N0.5 and Ti3Al(C0.5, N0.5)2 solid solutions with those of their end members, namely Ti2AlC, Ti2AlN, Ti3AlC2, and Ti4AlN2.9. In general, the replacement of C by N decreases the unit cell volumes and increases the elastic moduli and phonon thermal conductivities. The increase in the latter two properties, however, is sensitive to the concentrations of defects, most likely vacancies on one or more of the sublattices.

Effective Property Estimation of CMC Minicomposites Considering Porosity

2018 ◽  
Author(s):  
Abhilash M. Nagaraja ◽  
Suhasini Gururaja
Keyword(s):  
Elastic Properties ◽  
Volume Fraction ◽  
Matrix Material ◽  
Ceramic Matrix Composites ◽  
Unit Cell ◽  
Matrix Cracking ◽  
Failure Behavior ◽  
Numerical Homogenization ◽  
Element Analysis ◽  
Micro Scale

Ceramic matrix composites (CMCs) are a promising subclass of composite materials suitable for high temperature applications. CMCs exhibit multiple damage mechanisms such as matrix cracking, interphase debonding, fiber sliding, fiber pullout, delaminations etc. Additionally, process induced defects such as matrix porosity exists at multiple length scales and has a considerable influence on the mechanical and failure behavior of CMCs. In the current work, the effect of intra-tow porosity, which exist at the micro-scale, on the mechanical behavior of CMCs has been investigated by numerical homogenization. Micro-scale response of 3 phase CMCs with intra tow pores has been obtained by finite element analysis based homogenization. Pores have been modeled as non-intersecting ellipsoids in a square unit cell representative of matrix material. The effective mechanical properties of porous matrix at the micro scale has been obtained from numerical homogenization, which are in good agreement with Mori-Tanaka mean field theory. The obtained matrix elastic properties have then been included in a three phase unit cell consisting of fiber, interphase and matrix representative of CMC microstructure. The effect of porosity volume fraction and aspect ratio on the effective elastic properties of the composite have been reported. Homogenization approach to model statistical distribution of pore size obtained from X-ray computed tomography of CMC minicomposite has been proposed.

Effective elastic properties of additively manufactured metallic cellular structures using numerical unit-cell homogenization

2020 ◽  
Vol 5 (4) ◽  
pp. 355-366
Author(s):  
Okanmisope Fashanu ◽  
David Murphy ◽  
Myranda Spratt ◽  
Joseph Newkirk ◽  
K. Chandrashekhara ◽  
...  
Keyword(s):  
Elastic Properties ◽  
Unit Cell ◽  
Cellular Structures ◽  
Effective Elastic Properties

scholarly journals Aluminum Matrix Composites with Weak Particle Matrix Interfaces: Effective Elastic Properties Investigated Using Micromechanical Modeling

Materials ◽  
2021 ◽  
Vol 14 (20) ◽  
pp. 6083
Author(s):  
Aharon Farkash ◽  
Brigit Mittelman ◽  
Shmuel Hayun ◽  
Elad Priel
Keyword(s):  
Elastic Properties ◽  
Effective Properties ◽  
Aluminum Matrix ◽  
Unit Cell ◽  
Micromechanical Modeling ◽  
Aluminum Matrix Composites ◽  
Matrix Composites ◽  
Element Analysis ◽  
Effective Elastic Properties ◽  
The Impact

The impact of weak particle-matrix interfaces in aluminum matrix composites (AMCs) on effective elastic properties was studied using micromechanical finite-element analysis. Both simplified unit cell representations (i.e., representative area or volume elements) and “real” microstructure-based unit cells were considered. It is demonstrated that a 2D unit cell representation provides accurate effective properties only for strong particle-matrix bond conditions, and underpredicts the effective properties (compared to 3D unit cell computations) for weak interfaces. The computations based on real microstructure of an Al–TiB2 composite fabricated using spark plasma sintering (SPS) show that, for weak interfaces, the effective elastic properties under tension are different from those obtained under compression. Computations show that differences are the result of the local stress and strain fields, and contact mechanics between particles and the matrix. Preliminary measurements of the effective elastic properties using the ultrasonic pulse-echo technique and compression experiments support the trends observed in computational analysis.

Comparison of elastic properties of open-cell metallic biomaterials with different unit cell types

2017 ◽  
Vol 106 (1) ◽  
pp. 386-398 ◽  
Author(s):  
Reza Hedayati ◽  
Mojtaba Sadighi ◽  
Mohammad Mohammadi-Aghdam ◽  
Hossein Hosseini-Toudeshky
Keyword(s):  
Elastic Properties ◽  
Cell Types ◽  
Unit Cell ◽  
Open Cell ◽  
Metallic Biomaterials

scholarly journals Numerical modeling of the porosity influence on the elastic properties of sintered materials

2019 ◽  
Vol 51 (2) ◽  
pp. 153-161
Author(s):  
Elmiladi Abdulrazag ◽  
Igor Balac ◽  
Katarina Colic ◽  
Aleksandar Grbovic ◽  
Milorad Milovancevic ◽  
...  
Keyword(s):  
Experimental Data ◽  
Numerical Model ◽  
Elastic Properties ◽  
Volume Fraction ◽  
Unit Cell ◽  
Material Microstructure ◽  
Two Phase ◽  
Material Porosity ◽  
Sintered Materials ◽  
Elastic Characteristics

The effect of structural porosity on the elastic properties of sintered materials was studied using the new multi-pore unit cell numerical model - MPUC. Comparison between proposed MPUC model and previously adopted two-phase unit cell - FCC numerical model as well as available experimental data in literature, was done by comparing obtained values for modulus of elasticity - E, shear modulus - G and Bulk modulus - K. Results obtained by proposed MPUC model are in excellent agreement with available experimental data in literature. It was confirmed that material porosity regarding pores? size (volume fraction) has noticeable influence on elastic properties of sintered material. Less porosity in the material microstructure generally leads to noticeable higher values of E, G and K. For fixed volume fraction, shape of pores has no significant influence on elastic characteristics.

The Linear Elastic Properties of Open-Cell Foams

1988 ◽  
Vol 55 (2) ◽  
pp. 341-346 ◽  
Author(s):  
W. E. Warren ◽  
A. M. Kraynik
Keyword(s):  
Young’S Modulus ◽  
Elastic Properties ◽  
Cross Section ◽  
Elastic Constants ◽  
Volume Fraction ◽  
Cellular Materials ◽  
Unit Cell ◽  
Open Cell ◽  
Linear Elastic ◽  
Open Cell Foams

A theoretical model for the linear elastic properties of three-dimensional open-cell foams is developed. We consider a tetrahedral unit cell, which contains four identical half-struts that join at equal angles, to represent the essential microstructural features of a foam. The effective continuum stress is obtained for an individual tetrahedral element arbitrarily oriented with respect to the principal directions of strain. The effective elastic constants for a foam are determined under the assumption that all possible orientations of the unit cell are equally probable in a representative volume element. The elastic constants are expressed as functions of compliances for bending and stretching of a strut, whose cross section is permitted to vary with distance from the joint, so the effect of strut morphology on effective elastic properties can be determined. Strut bending is the primary distortional mechanism for low-density foams with tetrahedral microstructure. For uniform strut cross section, the effective Young’s modulus is proportional to the volume fraction of solid material squared, and the coefficient of proportionality depends upon the specific strut shape. A similar analysis for cellular materials with cubic microstructure indicates that strut extension is the dominant distortional mechanism and that the effective Young’s modulus is linear in volume fraction. Our results emphasize the essential role of microstructure in determining the linear elastic properties of cellular materials and provide a theoretical framework for investigating nonlinear behavior.

Sign in / Sign up

Export Citation Format

Share Document