Piezomagnetism

Ferromagnetoelastic Piezomagnetic coefficients Magnetic field and mechanical stress FeCOj... 

Bh magnetic induction q AT, pyromagnetic effect Xji Ej, converse magnetoelectric effect Pij Hj, magnetic permeability Qijk <3jk, piezomagnetic effect... 

The piezomagnetic tensor Q for all magnetic point groups is given by Bhagavantam (1966), p. 173, and Nowick (1995) in his Table 8-3. 

The laminar structures consist of alternating layers of the materials with high piezoelectric coefficients and of magnetostrictive or piezomagnetic materials. The thickness of the layers is usually about 0.5-1 mm and their square section is about 50-100 mm. The system of layers PZT/Terfenol-D has ME effect which is more than an order of magnitude larger than that of conventional composite [20]. Even... 

The Symmetry Analysis of Piezomagnetic, Piezoelectric and Linear Magnetoelectric Effects in Nanosystems... 

We will demonstrate this possibility afterwards on the examples of piezomagnetic (PM), piezoelectric (PE) and linear magnetoelectric (ME) effects in nanosystems on the basis of results from Ref. [61]. 

J.2 Symmetry Consideration of Piezomagnetic, Piezoelectric and Magnetoelectric Tensors... 

The PM tensor that couples the axial magnetic field vector H with the polar strain tensor Uy, is a third rank axial tensor As any tensor components are defined by their transformation laws, we consider the form of the piezomagnetic tensors in nanomaterials quantitatively. To find the nonzero components of third rank tensors we use the system of linear equations generated by the transformation law for the axial third rank tensor describing PM (m) ... 

Size Effects for Piezoelectric, Piezomagnetic and Magnetoelectric Tensors in Nanosystems... 

Coefficients aij T) depend explicitly on temperature T. Coefficients afj, aijki, are supposed to be temperature independent, constants giju and Vijkimn determine the magnitude of the gradient energy. Tensors gijki, Oijki and positively defined. Tensor is the surface excess elastic moduli, p, p is the surface stress tensor [81,82], is the surface piezoelectric or piezomagnetic tensor [67], qijki are the bulk striction coefficients Ciju are components of elastic stiffness tensor [83]. 

The piezoelectric, piezomagnetic, electro- and magnetostriction coupling contributions are... 

Here and are, respectively, coupling tensors of piezoelectric and piezomagnetic effects q j and q are the bulk electro- and magnetostriction coefficients. The flexomagnetic and flexoelectric coupling energy is... 

Flexo- magnetic Linear flexo-magneto- electric Linear magneto- electric Piezo- Piezomagnetic electric ... 

The elastic contribution to the free energy geiast is given by Eq. (4.36). The piezoelectric, piezomagnetic, electro-, and magnetostriction contribution is... 

Eliseev, E.A. Complete symmetry analysis of the surface-induced piezomagnetic, piezoelectric and linear magnetoelectric effects. Ferroelectrics 417, 100-109 (2011)... 

In composite materials, the ME can be achieved as a result of the elastic interaction between piezoelectric or electrostrictive and piezomagnetic or magnetostrictive phases which, independently, may have no ME. Thus, as a product property of the composite, the ME can be described as [126] ... 

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