Harmonic Vibrations of Nanosized Magnetoelectric Bodies with Coupled Surface and Interphase Effects: Mathematical Models and Finite Element Approaches

Victor Eremeev; Andrey Nasedkin

doi:10.1007/978-3-030-19894-7_27

Harmonic Vibrations of Nanosized Magnetoelectric Bodies with Coupled Surface and Interphase Effects: Mathematical Models and Finite Element Approaches

Abstract

The harmonic problems for piezomagnetoelectric nanosized bodies with taking into account the coupled damping and surface effects are considered on the base of the generalized Gurtin-Murdoch model. In the development of previous investigations, the coupled mechanical, electric and magnetic surface effects with surface inertial terms are introduced into the model. For a homogeneous model, the composite material is considered as homogeneous with the suitable effective material properties. The weak or generalized formulation of the steady-state oscillation problem is given together with the suitable formulation of the modal problem. For numerical solution of these problems, the finite element approximations, leading to a symmetric structure of finite element matrices, are present. The procedures of homogenization of piezomagnetoelectric nanostructured composite materials with piezoelectric and piezomagnetic phases are described on the base of the methods of effective moduli and finite elements.

Citations

0

CrossRef
0

Web of Science
0

Scopus

Authors (2)

Victor Eremeev prof. dr hab.
Andrey Nasedkin Dr Prof
- Southern Federal University, Rostov on Don, Russia

Cite as

Full text

full text is not available in portal

full content of the article see on external site open in new tab

Keywords

Details

Category:: Conference activity
Type:: publikacja w wydawnictwie zbiorowym recenzowanym (także w materiałach konferencyjnych)
Title of issue:: Advanced Materials
Language:: English
Publication year:: 2018
Bibliographic description:: Eremeev V., Nasedkin A.: Harmonic Vibrations of Nanosized Magnetoelectric Bodies with Coupled Surface and Interphase Effects: Mathematical Models and Finite Element Approaches// Advanced Materials/ Cham: Springer, 2018,
DOI:: Digital Object Identifier (open in new tab) 10.1007/978-3-030-19894-7_27
Verified by:: Gdańsk University of Technology