scholarly journals Identification of Material Properties of PZT Single Crystals through Crystallographic Homogenization Method

2007 ◽  
Vol 1 (1) ◽  
pp. 140-151 ◽  
Author(s):  
Yasutomo UETSUJI ◽  
Satoshi TANAKA ◽  
Kazuyoshi TSUCHIYA ◽  
Sei UEDA ◽  
Eiji NAKAMACHI
Keyword(s):  
Single Crystals ◽  
Material Properties ◽  
Homogenization Method

Effects of Shear Deformation of Struts in Hexagonal Lattices on their Effective In-Plane Material Properties

2021 ◽  
Vol 1034 ◽  
pp. 193-198
Author(s):  
Pana Suttakul ◽  
Thongchai Fongsamootr ◽  
Duy Vo ◽  
Pruettha Nanakorn
Keyword(s):  
Shear Deformation ◽  
Material Properties ◽  
Strain Energy ◽  
Equivalent Strain ◽  
Homogenization Method ◽  
Two Dimensional ◽  
Engineering Applications ◽  
Large Numbers ◽  
Effective Material Properties ◽  
Unit Cells

Two-dimensional lattices are widely used in many engineering applications. If 2D lattices have large numbers of unit cells, they can be accurately modeled as 2D homogeneous solids having effective material properties. When the slenderness ratios of struts in these 2D lattices are low, the effects of shear deformation on the values of the effective material properties can be significant. This study aims to investigate the effects of shear deformation on the effective material properties of 2D lattices with hexagonal unit cells, by using the homogenization method based on equivalent strain energy. Several topologies of hexagonal unit cells and several slenderness ratios of struts are considered. The effects of struts’ shear deformation on the effective material properties are examined by comparing the results of the present study, in which shear deformation is neglected, with those from the literature, in which shear deformation is included.

An Investigation on Buckling Behaviour of Functionally Graded Plates Using Finite Strip Method

2012 ◽  
Vol 152-154 ◽  
pp. 1470-1476 ◽  
Author(s):  
Seyyed Amir Mahdi Ghannadpour ◽  
Hamid Reza Ovesy ◽  
Mohammad Nassirnia
Keyword(s):  
Material Properties ◽  
Homogenization Method ◽  
Functionally Graded ◽  
Biaxial Compression ◽  
Thickness Direction ◽  
Functionally Graded Plates ◽  
Finite Strip ◽  
Strip Method ◽  
Finite Strip Method ◽  
Buckling Behavior

Semi-analytical finite strip method (FSM) for analyzing the buckling behavior of some functionally graded plates is presented in this paper. The plates are assumed to be under three types of mechanical loadings, namely; uniaxial compression, biaxial compression, and biaxial compression and tension. The material properties are assumed to vary in the thickness direction according to the power-law variation in terms of volume fractions of the constituents. Thus, the material properties are estimated from the both Voigt rule of mixtures (VRM) and Mori-Tanaka homogenization method (MTM). Numerical results for a variety of functionally graded plates with different aspect ratio are given and compared.

scholarly journals A complete set of material properties of single domain 0.26Pb(In1/2Nb1/2)O3–0.46Pb(Mg1/3Nb2/3)O3–0.28PbTiO3 single crystals

2010 ◽  
Vol 96 (1) ◽  
pp. 012907 ◽  
Author(s):  
Xiaozhou Liu ◽  
Shujun Zhang ◽  
Jun Luo ◽  
Thomas R. Shrout ◽  
Wenwu Cao
Keyword(s):  
Single Crystals ◽  
Material Properties ◽  
Single Domain ◽  
Complete Set

Effective symmetry and physical properties of twinned perovskite ferroelectric single crystals

2001 ◽  
Vol 16 (2) ◽  
pp. 570-577 ◽  
Author(s):  
Jiří Erhart ◽  
Wenwu Cao
Keyword(s):  
Phase Transitions ◽  
Physical Properties ◽  
Single Crystals ◽  
Material Properties ◽  
Domain Walls ◽  
Ferroelectric Phase ◽  
Twin Structure ◽  
Twin System ◽  
Property Changes ◽  
Ferroelectric Phase Transitions

The effective symmetry and material properties of twinned ferroelectric crystals with perovskite structure were analyzed. The twins or twinbands studied here were formed during ferroelectric phase transitions, which resulted in one of the following symmetry changes: m3m → 3m, m3m → 4mm, and m3m → mm2. It was found that the volume ratios of the two domains in a twin structure were not always equal due to the existence of defect pinning to the domain walls. This unequal partition changed the effective symmetry; hence, the effective macroscopic physical properties of the twin system. Using the data of LiNbO3, BaTiO3, and KNbO3, a detailed analysis has been carried out on macroscopic material property changes caused by the deviation from equal domain volume partition for crystals having 3m, 4mm, and mm2 symmetries.

Homogenization of Material Properties of Transpiration Cooled Multilayer Plates

2003 ◽  
Author(s):  
Gottfried M. Laschet ◽  
Stephan Rex ◽  
Dieter Bohn ◽  
Norbert Moritz
Keyword(s):  
Heat Transfer ◽  
Fluid Flow ◽  
Material Properties ◽  
Homogenization Method ◽  
Heat Transfer Analysis ◽  
Thermal Barrier ◽  
Multiscale Approach ◽  
Hot Gas ◽  
Flow And Heat Transfer ◽  
Barrier Coating

To predict the aerothermal behaviour of transpiration cooled gas turbine components, a multiscale approach based on the homogenization method of periodic material structures is developed. This method allows to calculate effective equivalent thermophysical properties either for each layer or for the multilayer of superalloy, bondcoat and thermal barrier coating. From the 3-D conjugate fluid flow and heat transfer analysis, the stationary state is extracted and transferred to the microscale unit cell discretized by finite elements. Effective permeabilities of different designs of the cooled multilayer are determined and analyzed in detail for the TBC layer. For two efficient shaped cooling designs different hot gas velocities and blowing rates of the cooling gas are analyzed. The influence of the corresponding aerothermal results on the effective thermal conductivities of each monolayer and the multilayer are then discussed for both shaped cooling configurations.

A 149 Line Homogenization Code for Three-Dimensional Cellular Materials Written in matlab

2018 ◽  
Vol 141 (1) ◽  
Author(s):  
Guoying Dong ◽  
Yunlong Tang ◽  
Yaoyao Fiona Zhao
Keyword(s):  
Material Properties ◽  
Three Dimensional ◽  
Homogenization Method ◽  
Cellular Materials ◽  
Cellular Structures ◽  
Numerical Homogenization ◽  
Matlab Code ◽  
Voxel Model ◽  
Anisotropic Elastic ◽  
Constitutive Matrix

Cellular architectures are promising in a variety of engineering applications due to attractive material properties. Additive manufacturing has reduced the difficulty in the fabrication of three-dimensional (3D) cellular materials. In this paper, the numerical homogenization method for 3D cellular materials is provided based on a short, self-contained matlab code. It is an educational description that shows how the homogenized constitutive matrix is computed by a voxel model with one material to be void and another material to be solid. A voxel generation algorithm is proposed to generate the voxel model easily by the wireframe scripts of unit cell topologies. The format of the wireframe script is defined so that the topology can be customized. The homogenization code is then extended to multimaterial cellular structures and thermal conductivity problems. The result of the numerical homogenization shows that different topologies exhibit anisotropic elastic properties to a different extent. It is also found that the anisotropy of cellular materials can be controlled by adjusting the combination of materials.

Sign in / Sign up

Export Citation Format

Share Document