Why does an anisotropic shaft split axially under excessive torque?

For in anisotropic material, it could be that the plane of lowest tensile strength is close to axial. Torsion stress (from the applied torque) will then cause it to fail along that plane.

In general, where it fails will depend upon the failure mechanism. Brittle materials (like a stick of chalk) will fail along a 45 degree plane inclined to the axis

An anisotropic shaft is one that has different material properties in different directions. When an anisotropic shaft is subjected to excessive torque, it can split axially due to several reasons:

1. Material Weakness: The anisotropic nature of the shaft may lead to variations in material strength and stiffness along its length. Regions with lower strength and stiffness are more likely to fail under excessive torque, resulting in an axial split.

2. Stress Concentration: Axial splitting can occur when there are stress concentrations caused by design flaws, such as sharp corners, notches, or sudden changes in shape. These stress concentrations create areas of high stress where the material is more prone to failure when exposed to excessive torque.

3. Shear Stress: Torque applied to a shaft generates shear stresses which act perpendicular to its axis. An anisotropic shaft may have different shear strength properties in different directions. If the shear stress exceeds the shear strength of the material in a specific direction, it can lead to a split along the axis of the shaft.

To determine the exact reason for axial splitting in a specific anisotropic shaft, it is essential to consider the material properties, design, and stress analysis. This may involve studying the material's mechanical properties, conducting finite element analysis (FEA) simulations, or performing physical testing under controlled conditions to understand the failure mechanism and prevent such failures in the future.