English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In the first part of this two-paper series, a new Fragile Points Method(FPM), in both primal and mixed formulations, is presented for analyzingflexoelectric effects in 2D dielectric materials. In the present paper, anumber of numerical results are provided as validations, including linear andquadratic patch tests, flexoelectric effects in continuous domains, andanalyses of stationary cracks in dielectric materials. A discussion of theinfluence of the electroelastic stress is also given, showing that Maxwellstress could be significant and thus the full flexoelectric theory isrecommended to be employed for nano-scale structures. The present primal aswell as mixed FPMs also show their suitability and effectiveness in simulatingcrack initiation and propagation with flexoelectric effect. Flexoelectricity,coupled with piezoelectric effect, can help, hinder, or deflect the crackpropagation paths and should not be neglected in nano-scale crack analysis. InFPM, no remeshing or trial function enhancement are required in modeling crackpropagation. A new Bonding-Energy-Rate(BER)-based crack criterion as well asclassic stress-based criterion are used for crack development simulations.Other complex problems such as dynamic crack developments, fracture,fragmentation and 3D flexoelectric analyses will be given in our futurestudies.

A New Meshless Fragile Points Method (FPM) With Minimum Unknowns at Each  Point, For Flexoelectric Analysis Under Two Theories with Crack Propagation.  Part II: Validation and discussion