TY  - BOOK
AU  - He,J.H.
TI  - Variational theory for linear magneto-electro-elasticity
KW  - MAGNETO-ELECTRO-ELASTIC MEDIUM
KW  - PIEZOELECTRICITY
KW  - SEMI-INVERSE METHOD
KW  - SMART (OR INTELLIGENT)MATERIAL
KW  - TRIAL-FUNCTIONAL
KW  - VARIATIONAL THEORY
N2  - o describe the physical behavior of a magneto-electro-elastic medium, the fundamental equations, including equilibrium equations, strain-displacement relations, and constitutive relations, and all boundary conditions are expressed as stationary condition (Euler equations and natural conditions)of a generalized variational principle, which is obtained by the semi-inverse method proposed by He. The principle is deduced from an energy-like trial functional with a certain unknown function, which can be identified step by step. A family of various variational principles for the discussed problem is also obtained for differential applications. Present theory provides a quite straightforward tool to the search for various variational principles for physical problems. This paper aims at providing a more complete theoretical basis for the finite element applications, meshfree particle methods, and other direct variational methods such as Ritz's, Trefftz's and Kantorovitch's methods
UR  - https://drive.google.com/file/d/1JYMWEgrL_Op3coSPYJj2nQ3lrImh8M_f/view?usp=drivesdk
ER  -