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Using the effective material, a method for Cd II) preconcentration at trace level was developed.
In the finite element model, the whole shape of the perforated cylindrical shell is simulated instead of using the effective material properties.
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Fatigue lifetime of solder joints subjected to thermal and mechanical loading cycles is generally predicted based on phenomenological and macroscopic fatigue models that use the effective material properties as inputs.
The cylindrical shell is reinforced by carbon nanotubes (CNTs) where the Mori-Tanaka model is used for calculating the effective material properties of the structure considering agglomeration effects.
The material is graded in the thickness direction and two power law based on the rule of mixture is used to estimate the effective material properties.
The concrete blocks are reinforced by SiO2 nanoparticles where the Mori-Tanaka model is used for calculating the effective material properties of the structure.
A simple power-law and the Mori–Tanaka scheme are used for estimating the effective material properties such as temperature-dependent thermoelastic properties.
A numerical homogenization technique based on the finite element method (FEM) with representative volume element (RVE) was used to evaluate the effective material properties with periodic boundary conditions.
Numerical equations are used to extract the effective material properties for the hexagonal RVE under axial as well as lateral loading conditions.
Two micromechanical schemes (i.e., the rule of mixtures and Mori Tanaka scheme) used to estimate the effective material properties of functionally graded structures are presented.
Modified Halpin-Tsai model and the rule of mixture are used to determine the effective material properties including Young's modulus, mass density and Poisson's ratio of the nanocomposites.
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