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By using of state-space method in thickness direction and Fourier series in longitudinal direction, the solution can be made.
A semi-analytical approach which makes use of state-space method in thickness direction and one-dimensional differential quadrature method in radial direction is used to obtain the vibration frequencies.
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This work considers homogeneous isotropic micropolar plates adopting a power series expansion method in the thickness coordinate.
The method utilises a gradual change in thickness of a plate or bar, partly covered by thin damping layers, from the value corresponding to the thickness of the basic plate or bar (which is to be damped) to almost zero.
Compared with the conventional method, in which the specimen thickness has to be measured in transmission electron microscopy, the method proposed in this study is more facile to perform.
Due to the characteristics of the PAD method, in order to improve the thickness of AZO films, multiple spin coating and heat treatment were inevitable [28].
In this method stratum corneum thickness was included in the ET measurement. ET measurement by HD-OCT has already been discussed in detail by a recent investigation [ 8].
Among them, the ALD method has been usually adopted to grow ultrathin and high-k dielectrics owing to its advantages over other methods in completely precise thickness control, low processing temperature, low impurity content, no line-of-sight depositions, conformal coating capability on complex-shaped structures, and excellent thickness uniformity over large deposition area [1, 3, 15 17].
Paraffin-embedded tissue specimens were cut to 3 5 μm in thickness and stained with hematoxylin eosin saffron using routine methods.
Pt films of ~120 nm in thickness were deposited on Si (001) substrates by a sputtering method.
Valve tissue samples were fixed in formalin, embedded in paraffin, cut to 3 µm in thickness and stained with haematoxylin-eosin-saffron using routine methods.
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