Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

The Meshless Analysis of Scale Dependent Problems for Coupled Fields

Version 1 : Received: 5 May 2020 / Approved: 6 May 2020 / Online: 6 May 2020 (11:35:10 CEST)

A peer-reviewed article of this Preprint also exists.

Sladek, J.; Sladek, V.; Wen, P.H. The Meshless Analysis of Scale-Dependent Problems for Coupled Fields. Materials 2020, 13, 2527. Sladek, J.; Sladek, V.; Wen, P.H. The Meshless Analysis of Scale-Dependent Problems for Coupled Fields. Materials 2020, 13, 2527.

Journal reference: Materials 2020, 13, 2527
DOI: 10.3390/ma13112527

Abstract

The meshless Petrov-Galerkin (MLPG) method is developed to analyse 2-D problems for flexoelectricity and thermoelectricity. Both problems are multiphysical and scale dependent. The size-effect is considered by the strain- and electric field-gradients in the flexoelecricity and higher-grade heat flux in the thermoelectricity. The variational principle is applied to de-rive the governing equations considered constitutive equations. The order of derivatives in governing equations is higher than in equations obtained from classical theory. The coupled governing partial differential equations (PDE) are satisfied in a local weak-form on small fic-titious subdomains with a simple test function. Physical fields are approximated by the mov-ing least-squares (MLS) scheme. Applying the spatial approximations in local integral equa-tions a system of algebraic is obtained for the nodal unknowns.

Subject Areas

MLS approximation; Gradients of strains, Gradients of electric intensity vector, Higher-grade heat flux

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our diversity statement.

Leave a public comment
Send a private comment to the author(s)
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.