中国物理B ›› 2008, Vol. 17 ›› Issue (8): 2753-2758.doi: 10.1088/1674-1056/17/8/001
• GENERAL • 下一篇
侯国林, 阿拉坦仓
Hou Guo-Lin(侯国林)† and Alatancang(阿拉坦仓)
摘要: The eigenvalue problem of an infinite-dimensional Hamiltonian operator appearing in the isotropic plane magnetoelectroelastic solids is studied. First, all the eigenvalues and their eigenfunctions in a rectangular domain are solved directly. Then the completeness of the eigenfunction system is proved, which offers a theoretic guarantee of the feasibility of variable separation method based on a Hamiltonian system for isotropic plane magnetoelectroelastic solids. Finally, the general solution for the equation in the rectangular domain is obtained by using the symplectic Fourier expansion method.
中图分类号: (Magnetomechanical effects, magnetostriction)