TY - JOUR
T1 - Stress field formulation of linear electro-magneto-elastic materials
AU - Amiri-Hezaveh, A.
AU - Karimi, P.
AU - Ostoja-Starzewski, M.
N1 - The comments of an anonymous reviewer helped improve this paper. This work was partially supported by the NSF (grant CMMI-1462749).
PY - 2019/12/1
Y1 - 2019/12/1
N2 - A stress-based approach to the analysis of linear electro-magneto-elastic materials is proposed. Firstly, field equations for linear electro-magneto-elastic solids are given in detail. Next, as a counterpart of coupled governing equations in terms of the displacement field, generalized stress equations of motion for the analysis of three-dimensional (3D) problems Are obtained – they supply a more convenient basis when mechanical boundary conditions are entirely tractions. Then, a sufficient set of conditions for the corresponding solution of generalized stress equations of motion to be unique are detailed in a uniqueness theorem. A numerical passage to obtain the solution of such equations is then given by generalizing a reciprocity theorem in terms of stress for such materials. Finally, as particular cases of the general 3D form, the stress equations of motion for planar problems (plane strain and Generalized plane stress) for transversely isotropic media are formulated.
AB - A stress-based approach to the analysis of linear electro-magneto-elastic materials is proposed. Firstly, field equations for linear electro-magneto-elastic solids are given in detail. Next, as a counterpart of coupled governing equations in terms of the displacement field, generalized stress equations of motion for the analysis of three-dimensional (3D) problems Are obtained – they supply a more convenient basis when mechanical boundary conditions are entirely tractions. Then, a sufficient set of conditions for the corresponding solution of generalized stress equations of motion to be unique are detailed in a uniqueness theorem. A numerical passage to obtain the solution of such equations is then given by generalizing a reciprocity theorem in terms of stress for such materials. Finally, as particular cases of the general 3D form, the stress equations of motion for planar problems (plane strain and Generalized plane stress) for transversely isotropic media are formulated.
KW - Stress formulation
KW - alternative equations of motion
KW - elastodynamics
KW - electro-magneto-elastic materials
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U2 - 10.1177/1081286519857127
DO - 10.1177/1081286519857127
M3 - Article
AN - SCOPUS:85068319230
SN - 1081-2865
VL - 24
SP - 3806
EP - 3822
JO - Mathematics and Mechanics of Solids
JF - Mathematics and Mechanics of Solids
IS - 12
ER -