Local material orientation Abaqus

Dear All,

My name is Ronald, student at Eindhoven University of Technology, master Structural Design and i have an import question about the FEM programme Abaqus, about orthotropic materials.

I defined an orthotropic or anisotropic material in Abaqus by using the option; engineering constants or orthotropic (all linear elastic).

Abaqus asks for the modulus of elasticity in direction 1, 2 and 3 and the shear modulus and poisson ratios.

So far so good.

But, i define a local material orientation, let's say 45 degrees, what is than the modulus of elasticity, shear modulus and poisson ratio.

 In other words, if i draw a graph with on the horizontal axis the angle to grain direction (in case of timber), with 0 degrees = direction 1 and 90 degrees = direction 2 and on the vertical axis the modulus of elasticity for those directions, what does this graph looks like? Is it a straight line? Is de modulus of elasticity at 45 degrees the mean value of the modulus of elasticity of direction 1 and 2? Or is it a concave or convex line?

And besides that, what is the influence of the angle to the grain to the shear modulus and poisson ratios?

Thank you for receiving your answer,

Ronald