Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Slant Asymptotes01:27

Slant Asymptotes

122
A function's behavior is often guided by asymptotic constraints, where one term dominates another, defining a limiting trend. In the given scenario, the mathematical pattern follows a rational function: a cubic term in the numerator is divided by a squared term in the denominator. This results in a function with distinct characteristics, including an oblique asymptote, critical points, and undefined regions.The function's validity is determined by the denominator, which must be nonzero. This...
122
Asymptotes in Rational Functions01:30

Asymptotes in Rational Functions

250
A rational function is defined as the quotient of two polynomials:  where Q(x)≠0, These functions often exhibit asymptotes, which are the lines that the graph approaches but never touches. These asymptotes are classified based on how the function behaves near specific values of the input.Vertical asymptotes occur where the denominator is zero, and the numerator is not, causing the function to be undefined. These are found by solving Q(x)=0. For example:  has a vertical...
250
Test for Homogeneity01:23

Test for Homogeneity

2.4K
The goodness–of–fit test can be used to decide whether a population fits a given distribution, but it will not suffice to decide whether two populations follow the same unknown distribution. A different test, called the test for homogeneity, can be used to conclude whether two populations have the same distribution. To calculate the test statistic for a test for homogeneity, follow the same procedure as with the test of independence. The hypotheses for the test for homogeneity can...
2.4K
Homogeneous Equilibria for Gaseous Reactions02:15

Homogeneous Equilibria for Gaseous Reactions

29.3K
Homogeneous Equilibria for Gaseous Reactions
For gas-phase reactions, the equilibrium constant may be expressed in terms of either the molar concentrations (Kc) or partial pressures (Kp) of the reactants and products. A relation between these two K values may be simply derived from the ideal gas equation and the definition of molarity. According to the ideal gas equation:
29.3K
Tissue Homogenization and Cell Lysis01:32

Tissue Homogenization and Cell Lysis

10.2K
Tissue homogenization involves disintegrating tissue architecture and lysing cells, and is an early step in isolating and analyzing cellular components. The method used for homogenization depends on the sample type, the amount of sample available, the analyte to be obtained, and the sensitivity of the method. These methods are broadly classified as mechanical and non-mechanical methods.
Mechanical methods of tissue homogenization
These methods rely on applying external physical force to disrupt...
10.2K
Substitution Rule Applied to Indefinite Integrals01:27

Substitution Rule Applied to Indefinite Integrals

91
When a force is applied to a linear spring, the restoring force increases proportionally with the amount of displacement. This behavior is described by Hooke’s law, which allows the work done on the spring to be determined directly from the force–displacement relationship. In this case, the force varies in a simple and predictable manner, making the calculation relatively simple.On the other hand, a nonlinear spring does not obey Hooke’s law. Its restoring force depends on...
91

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

The sobol sensitivity analysis of the pressure, stresses, and displacement arising from poroelastic modelling of hard mechanical systems.

Scientific reports·2025
Same author

The impact of vascular volume fraction and compressibility of the interstitial matrix on vascularised poroelastic tissues.

Biomechanics and modeling in mechanobiology·2023
Same author

Effective Governing Equations for Viscoelastic Composites.

Materials (Basel, Switzerland)·2023
Same author

Effective Properties of Homogenised Nonlinear Viscoelastic Composites.

Materials (Basel, Switzerland)·2023
Same author

Correction to "Cuban Abdala vaccine: Effectiveness in preventing severe disease and death from COVID-19 in Havana, Cuba; A cohort study" [The Lancet Regional Health - Americas 2022; 16: 100366] https://doi.org/10.1016/j.lana.2022.100366.

Lancet regional health. Americas·2023
Same author

Wave generation and transmission in multi-scale complex media and structured metamaterials (part 2).

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2022

Related Experiment Video

Updated: Jan 30, 2026

Interlinked Macroporous 3D Scaffolds from Microgel Rods
07:32

Interlinked Macroporous 3D Scaffolds from Microgel Rods

Published on: June 16, 2022

2.7K

Asymptotic Homogenization Applied to Flexoelectric Rods.

David Guinovart-Sanjuán1, Jose Merodio2, Juan Carlos López-Realpozo3

  • 1Department of Mathematics, University of Central Florida, 4393 Andromeda Loop N, Orlando, FL 32816, USA. Guinovart@ucf.edu.

Materials (Basel, Switzerland)
|January 16, 2019
PubMed
Summary

This study investigates flexoelectric composite materials using asymptotic homogenization. The research provides a method to determine effective properties and analyzes the impact of flexoelectricity on composite behavior.

Keywords:
compositeflexoelectrichomogenization method

More Related Videos

Monitoring Immune Cells Trafficking Fluorescent Prion Rods Hours after Intraperitoneal Infection
09:22

Monitoring Immune Cells Trafficking Fluorescent Prion Rods Hours after Intraperitoneal Infection

Published on: November 19, 2010

11.9K
Seeded Synthesis of CdSe/CdS Rod and Tetrapod Nanocrystals
12:56

Seeded Synthesis of CdSe/CdS Rod and Tetrapod Nanocrystals

Published on: December 11, 2013

40.4K

Related Experiment Videos

Last Updated: Jan 30, 2026

Interlinked Macroporous 3D Scaffolds from Microgel Rods
07:32

Interlinked Macroporous 3D Scaffolds from Microgel Rods

Published on: June 16, 2022

2.7K
Monitoring Immune Cells Trafficking Fluorescent Prion Rods Hours after Intraperitoneal Infection
09:22

Monitoring Immune Cells Trafficking Fluorescent Prion Rods Hours after Intraperitoneal Infection

Published on: November 19, 2010

11.9K
Seeded Synthesis of CdSe/CdS Rod and Tetrapod Nanocrystals
12:56

Seeded Synthesis of CdSe/CdS Rod and Tetrapod Nanocrystals

Published on: December 11, 2013

40.4K

Area of Science:

  • Materials Science
  • Solid Mechanics
  • Composite Materials

Background:

  • Flexoelectricity describes the strain-induced electric polarization in dielectric materials.
  • Composite materials offer tailored properties by combining different constituents.
  • Understanding the mechanical and electrical behavior of composite materials is crucial for advanced applications.

Purpose of the Study:

  • To develop a homogenized formulation for the equilibrium problem of one-dimensional flexoelectric composite materials.
  • To present a detailed methodology for deriving effective coefficients and solving local problems.
  • To analyze the influence of the flexoelectric property on the effective coefficients and overall structural behavior.

Main Methods:

  • Two-scales asymptotic homogenization method.
  • Derivation of homogenized formulation for flexoelectric composites.
  • Step-by-step methodology for effective coefficient calculation and local problem solving.

Main Results:

  • A comprehensive framework for analyzing flexoelectric composite materials is established.
  • The formulation recovers known results for piezoelectric composites as a special case.
  • The influence of flexoelectricity on effective coefficients and structural behavior is demonstrated through case studies.

Conclusions:

  • The developed homogenization method effectively models flexoelectric composite materials.
  • The study highlights the significant impact of the flexoelectric property on material performance.
  • The findings provide a valuable tool for designing and analyzing advanced flexoelectric composite structures.