# Homogenization of the fluid-saturated piezoelectric porous media

@article{Rohan2018HomogenizationOT, title={Homogenization of the fluid-saturated piezoelectric porous media}, author={Eduard Rohan and Vladim{\'i}r Lukes}, journal={ArXiv}, year={2018}, volume={abs/1801.05225} }

The paper is devoted to the homogenization of porous piezoelectric materials saturated by electrically inert fluid. The solid part of a representative volume element consists of the piezoelectric skeleton with embedded conductors. The pore fluid in the periodic structure can constitute a single connected domain, or an array of inclusions. Also the conducting parts are represented by several mutually separated connected domains, or by inclusions. Two of four possible arrangements are considered…

## Figures, Tables, and Topics from this paper

## 4 Citations

Second-Order Asymptotic Analysis and Computations of Axially and Spherically Symmetric Piezoelectric Problems for Composite Structures

- Computer Science, MathematicsJ. Sci. Comput.
- 2019

It is validated from the numerical examples that the asymptotic models proposed in the current work are effective to capture the macroscopic performance of the piezoelectric structures and the second-order expansions of the solutions is essential for obtaining the correct distributions of the stress and electric displacement.

Multi-scale prediction of chemo-mechanical properties of concrete materials through asymptotic homogenization

- Materials Science
- 2020

Abstract In the present contribution, the effective mechanical, diffusive, and chemo-expansive properties of concrete are computed from a multi-scale and multi-physics approach. The distinctive…

Multiscale finite element calculations in Python using SfePy

- Mathematics, Computer ScienceAdv. Comput. Math.
- 2019

The paper introduces the SfePy package development, its implementation, structure, and general features, and an example of a two-scale piezoelastic model is presented, showing both the mathematical description of the problem and the corresponding code.

Computer Simulation of Composites Consisting of Piezoceramic Matrix with Metal Inclusions and Pores

- Mechanics of Composite Materials
- 2021

The problem on determining the effective properties of mixed composites consisting of a piezoceramic matrix with metal inclusions and pores is investigated. Composites with microporosity and…

## References

SHOWING 1-10 OF 30 REFERENCES

Multi-field asymptotic homogenization of thermo-piezoelectric materials with periodic microstructure

- Physics, Materials Science
- 2017

Abstract This study proposes a multi-field asymptotic homogenization for the analysis of thermo-piezoelectric materials with periodic microstructures. The effect of the microstructural heterogeneity…

Homogenization of porous piezoelectric materials

- Materials Science
- 2017

Abstract This paper presents a homogenization study of porous piezoelectric materials through analytical and numerical analysis. Using two of the most well-known analytical methods for theoretical…

Electromechanical response of (3–0, 3–1) particulate, fibrous, and porous piezoelectric composites with anisotropic constituents: A model based on the homogenization method

- Materials Science
- 2014

Abstract An analytical framework based on the homogenization method has been developed to predict the effective electromechanical properties of periodic, particulate and porous, piezoelectric…

Modeling nonlinear phenomena in deforming fluid-saturated porous media using homogenization and sensitivity analysis concepts

- Mathematics, Computer ScienceAppl. Math. Comput.
- 2015

This paper suggests how to circumvent such a computationally expensive updating procedure while using an efficient approximation scheme for the local homogenized coefficients, so that the complexity of the whole two-scale modeling is reduced substantially.

Multiscale asymptotic homogenization analysis of thermo-diffusive composite materials

- Materials Science, Physics
- 2015

In this paper an asymptotic homogenization method for the analysis of composite materials with periodic microstructure in presence of thermodiffusion is described. Appropriate down-scaling relations…

Double porosity in fluid-saturated elastic media: deriving effective parameters by hierarchical homogenization of static problem

- 2016

We propose a model of complex poroelastic media with periodic or locally periodic structures observed at microscopic and mesoscopic scales. Using a two-level homogenization procedure, we derive a…

Homogenization and Shape Sensitivity of Microstructures for Design of Piezoelectric Bio-Materials

- Materials Science
- 2006

Shape sensitivity of effective constitutive parameters is studied for homogenized piezoelectric composite which formerly was intended for bio-material application. It consists of the piezoelectric…

Piezoelectric effect on the velocities of waves in an anisotropic piezo-poroelastic medium

- PhysicsProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
- 2010

A mathematical model for mechanical and electrical dynamics in an anisotropic piezo-poroelastic (hereafter referred to as APP) medium is solved for three-dimensional propagation of harmonic plane…

Low‐frequency cutoff in fluid‐saturated porous piezoelectric ceramics

- Materials Science
- 1990

Voided piezoelectric ceramics show interesting properties, particularly under hydrostatting solicitations. The 3.3 composite structure can be regarded as a porous solid frame with different scales of…

Flow of electrolyte through porous piezoelectric medium: macroscopic equations

- Mathematics
- 2000

Abstract The aim of this contribution is to elaborate a general framework for modelling flows of two-ionic species electrolytes through porous piezoelectric media. By using the method of two-scale…