On Variational Formulations in Nonlinear Magnetoelastostatics
On Variational Formulations in Nonlinear Magnetoelastostatics
复制标题
非线性磁弹静力学中的变分公式
DOI：
10.1177/1081286507079832
复制
发表时间：
2008
影响因子：
2.6
通讯作者：
R. Ogden
中科院分区：
文献类型：
--
作者：
R. Bustamante;A. Dorfmann;R. Ogden
Two new variational principles for nonlinear magnetoelastostatics are derived. Each is based on use of two independent variables: the deformation function and, in one case the scalar magnetostatic potential, in the other the magnetostatic vector potential. The derivations are facilitated by use of Lagrangian magnetic field variables and constitutive laws expressed in terms of these variables. In each case all the relevant governing equations, boundary and continuity conditions emerge. These principles have a relatively simple structure and therefore offer the prospect of leading to finite-element formulations that can be used in the solution of realistic boundary-value problems.
