Acoustics of Wood by Voichita Bucur

By Voichita Bucur

From the studies of the first edition:

"It would certainly stay the main finished paintings during this box for a very long time to come back. It belongs at the bookshelf of each fabric scientist and structural engineer."

CAS magazine, USA

"...[T]he writer has performed an admirable task, amassing, organizing, and reviewing the disparate literature on so much points of the Acoustics of Wood."

Journal of the Acoustical Society of the USA, USA

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For acorns of the same size and weight, the velocity could be a discriminant parameter able to detect delamination between successive layers of the acorn envelope. Often delamination takes place between the pericarp and the testa. This phe- Summary 19 nomenon arises owing to moisture content loss, fungus attack, or mechanical injuries. With acorns, delamination can be considered as an impedance discontinuity in the medium of propagation of the ultrasonic waves, so delaminated acorns should be characterized by lower velocities.

In this section some theoretical considerations will be presented in relation to the propagation phenomena of ultrasonic waves in orthotropic solids. This symmetry was chosen because of the interest in the Cartesian orthotropic wood structure model. As can be seen in this chapter, the most rapid way to obtain stiffnesses is by the ultrasonic velocity method. The notations used in this chapter are as follows: [σ] =stress tensor [ε] =strain tensor ρ =density [Cijkl] =stiffness tensor [Sijkl] =compliance tensor [Γij] =Christoffel tensor u =displacement vector n =propagation vector =components of the amplitude of the displacement vector Ui P =polarization vector Pm =components of the unit vector in the direction of the displacement or polarization km =wave vector component along the xm direction k =wave vector =position vector xm ω =angular frequency nk =direction cosines α =angle of unit wave vector from symmetry direction β =displacement angle =Kronecker tensor; if i=k then δik=1 and if i≠k, δik=0 δik 50 Theory of and Experimental Methods for the Acoustic Characterization of Wood Fig.

This means that K>0 and G>0. Consequently E>0 and (1−2ν)>0 or (1−ν)>0. 21) Elastic Symmetry of Propagation Media 45 For an orthotropic solid, the question is more complex due to the six Poisson’s ratios, corresponding to the three symmetry planes. 25) Considering now the relationships between the terms of the [C] and [S] matrices and the engineering constants, we can deduce the boundary conditions for all Poisson’s ratios of an orthotropic solid. 26) The relationships between two Poisson’s ratios, corresponding to a well-defined symmetry plane, are deduced from Eq.

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