Isotropic Material Failure Surface

Introduction

This damage initiation law predict that failure initiates when maximum principal stress exceeds tensile strength of the material or when maximum shear stress exceeds shear strength of the material. Because it deals with principal stresses and tensile failure is the same regardless of direction, this law is only appropriate for isotropic materials such as IsoSoftening material.

Failure Surface

Maximum principle failure stress surfaces for 2D and 3D simulations are shown in the figure. When viewed down the [math]\displaystyle{ \sigma_1=\sigma_2=\sigma_3 }[/math] diagonal, the 3D surface is hexagonal rod with point-to-point diagonal equal to [math]\displaystyle{ \tau_t }[/math] and apex at [math]\displaystyle{ \sigma_1=\sigma_2=\sigma_3=\sigma_n }[/math]. For tensile failure, the crack normal is along the maximum principle stress direction; for shear failure, it is rotated 45 degrees from the principle stress directions.

Damage Law Properties

The following table lists the input properties for maximum principle stress failure surface:

Name	ID	Description
sigmac	1	Critical tensile stress for failure.
tauc	1	Critical shear stress for failure.

It is relatively easy to write code for new damage initiation laws, if needed.