Remarks on orthotropic elastic models applied to wood

Waves in Wood: Elastic Waves in Cylindrically Orthotropic Materials

We consider elastic waves in materials with cylindrical orthotropy, this being a plausible model for wood. For time-harmonic motions, the problem is reduced to some coupled ordinary differential equations. Previously, these have been solved using the method of Frobenius (power-series expansions). We use Neumann series (expansions in Bessel functions of various orders), motivated by the known cl...

Remarks on Elastic Bandages

Material tailoring for orthotropic elastic rotating disks

Article history: Received 26 October 2010 Received in revised form 6 December 2010 Accepted 9 December 2010 Available online 14 December 2010

On Rayleigh waves in incompressible orthotropic elastic solids.

In this paper the secular equation for the Rayleigh wave speed in an incompressible orthotropic elastic solid is obtained in a form that does not admit spurious solutions. It is then shown that inequalities on the material constants that ensure positive definiteness of the strain-energy function guarantee existence and uniqueness of the Rayleigh wave speed. Finally, an explicit formula for the ...

Nacre: An orthotropic and bimodular elastic material

A new micromechanical model for nacre (mother-of-pearl) is proposed, based on an accurate description of the actual microstructure of the material. In the small-strain regime (where damage and fracture are excluded), it is shown via homogenization techniques that the mechanical behaviour of nacre is: (i) orthotropic, with a strong difference in directional stiffnesses; (ii) bimodular (different...