As a function of TC Thermal conductivity s Seconds RVE Representative

volume element ACKNOWELDGMENTS

In Section 2, the model problem and the finite

volume element schemes are introduced.

Park, "Development of representative

volume element homogenization model for predicting transversely isotropic elasticity of lithium-ion batteries," Journal of Engineering Materials and Technology, vol.

The positional coordinates of the

volume elements after a rotation by an angle a around the v-axis are

Terriault, and V Brailovski, "Density dependence of the superelastic behavior of porous shape memory alloys: representative

volume element and scaling relation approaches," Computational Materials Science, vol.

The selection of the RVE needs to satisfy the scale of the representative

volume element being much smaller than the characteristic scale of the structure, and the scale of the representative

volume element should be much larger than the average scale of the nonuniform hole.

Y., and Pan, J., "Mechanical behavior of representative

volume elements of lithium-ion battery cells under compressive loading conditions." Journal of Power Sources 245:609-623, 2014, doi:10.1016/j.jpowsour.2013.06.134.

On the one hand the surrounding storages provide the upstream and downstream pressure and temperature for the intermediate restrictions and on the other hand the algebraic equations of the flow restriction models emit the mass flow and mass flow temperature for the adjacent

volume elements.

In this section we present the Crouzeix-Raviart finite element (CRFE) and the Crouzeix-Raviart finite

volume element (CRFVE) discretizations of a model second-order elliptic problem with discontinuous coefficients across subdomain boundaries.

for any vector field X and dv denotes the

volume element of M.

The concrete sample can be taken as a representative

volume element V which is a multiphase composite material made of cement mortar (matrix), aggregate, and the interface between them.

In view of this requirement, the present study aims to analyze, through finite element analysis, the linear elastic mechanical response of representative cubic and rectangular parallelepiped

volume element models of porous Ti-6Al-4V alloy upon being subjected to representative compressive, flexural, and combined loading action that is typically experienced by orthopedic hip implants in vivo.