Some Plane Stress Problems of Orthotropic Material

Some Combinatorial Problems in the Plane

1 Let there be given n points in the plane. Denote by t i the number of lines which contain exactly i of the points (2 < i < n). The properties of the set {ti } have been studied a great deal. For example, there is the classical result of Gallai and Sylvester : Assume to = 0 (i .e ., the points are not all on one line) ; then t2 > 0. For the history of this problem see, e.g ., Motzkin [6] and E...

Some Separability Problems in the Plane

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

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...

Parallel Algorithms for Orthotropic Problems

Finite element meshes and nodenumberings suitable for parallel solution with equally loaded processors are presented for linear orthotropic elliptic partial differential equations. These problems are of great importance for instance in oil and airfoil industry. The linear systems of equations are solved by the conjugate gradient method preconditioned by modified incomplete factorization, MIC. T...