Every linear planar anisotropic elastic material is equivalent, under a linear change of coordinates, to an orthotropic material. Consequently, up to linear changes of variables, there are just two "canonical" planar elastic moduli which determine the properties of any linearly elastic material. Extensions to three-dimensional elasticity and applications are indicated.

Abstract Starting from a Cosserat-type model for curved rods, we derive analytical expressions the effective stiffness coefficients of multilayered composite beams with an arbitrary number layers. For this purpose, employ comparison solutions some bending, torsion, and extension problems three-dimensional rods. The layers beam consist different orthotropic or isotropic non-homogeneous elastic m...

Buckling and vibrational behaviour of non-homogeneous orthotropic rectangular plates of variable thickness having two opposite edges (y = 0 and b) simply supported and these are subjected to constant in-plane force have been analyzed on the basis of classical plate theory. The other two edges (x = 0 and a) may be clamped, simply supported or free. For nonhomogeneity of the plate material, Young...

1. Abstract Composite plates are designed in order to maximize the performance with respect to eigenfrequencies. The plates are considered to be laminates where the individual plies consist of orthotropic material. The design task is the orientation of the orthotropic material in each element of the discretization and the ratio between the amounts of material put in the two directions of the fi...

A constitutive model for the elastic-plastic behavior of plastically compressible orthotropic materials is proposed based on an ellipsoidal yield surface with evolving ellipticity to accommodate non-uniform hardening or softening associated with stressing in different directions. The model incorporates rate-dependence arising from material rate-dependence and micro-inertial effects. The basic i...

a new approach for analyzing cracked problems in 2d orthotropic materials using the well-known element free galerkin method and orthotropic enrichment functions is proposed. the element free galerkin method is a meshfree method which enables discontinuous problems to be modeled efficiently. in this study, element free galerkin is extrinsically enriched by the recently developed crack-tip orthot...