Fig. 4: Static properties of the magnetostriction in NSMM with stripe domain.
From: Role of magnetostriction on power losses in nanocrystalline soft magnets
a Stripe domain structure in NSMM when the mean ξ11 vanishes (\(\lambda _{100}^\prime = 20.0 \times 10^{ - 5}\), \(\lambda _{111}^\prime = - 7.22 \times 10^{ - 5}\)). The colors represent the polar angle of the magnetization vector measured from the x1 axis in the absolute frame. b Color map of the mean strain \(\bar \xi _{11}\) in the \(\lambda _{100}^\prime \lambda _{111}^\prime\) plane. The dotted line of \(\lambda _{111}^\prime = - 0.36\lambda _{100}^\prime\) represents the condition in which \(\bar \xi _{11}\) disappears. c Color map of the mean strain \(\bar \xi _{22}\) in the \(\lambda _{100}^\prime \lambda _{111}^\prime\) plane. The dotted-dashed line of \(\lambda _{111}^\prime = - 0.49\lambda _{100}^\prime\) represents the condition in which the strain \(\bar \xi _{22}\) disappears. d \(\lambda _{100}^\prime\) dependence of \(\bar \xi _{11}\) and \(\bar \xi _{22}\) for \(\lambda _{100}^\prime = - 0.36\lambda _{100}^\prime\) and \(\lambda _{111}^\prime = \lambda _{100}^\prime\). e, f Color maps of ξ11 when \(\lambda _{111}^\prime = \lambda _{100}^\prime\) and \(\lambda _{111}^\prime = - 0.36\lambda _{100}^\prime\), respectively, in the x1x2 plane. In both panels, \(\lambda _{100}^\prime = 20.0 \times 10^{ - 5}\). g Profile of m1 at x1=0 µm as a function of x2. The blue and red colors represent the cases of \(\lambda _{100}^\prime = 20.0 \times 10^{ - 5}\), \(\lambda _{111}^\prime = - 7.22 \times 10^{ - 5}\) and \(\lambda _{100}^\prime = 20.0 \times 10^{ - 5}\), \(\lambda _{111}^\prime = 20.0 \times 10^{ - 5}\), respectively. Semitransparent regions represent the domain wall widths Wm, and dotted lines are tangential lines. h, i Color maps of \(\left\langle {\xi _{11}} \right\rangle _{{{{\mathrm{DW}}}}}\), which is averaged within a diameter of the domain wall width Wm corresponding to (e) and (f), respectively.
