Transversely Isotropic Failure Surface

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Introduction

This damage initiation law predicts failure in transversely isotropic materials. Because it deals with a specific material type, this law is only appropriate for TransIsoSoftening1 and 2 materials.

Failure Surface

This failure surface has five failure properties. First, are two tensile strengths [math]\displaystyle{ \sigma_A }[/math] and [math]\displaystyle{ \sigma_T }[/math]. The first tensile strength is for tensile loading in the axial direction. The second is for tensile failure in the isotropic plane, which occurs in the maximum normal stress direction in that plane.

Second, are three shear strengths [math]\displaystyle{ \tau_A }[/math], [math]\displaystyle{ \tau_T }[/math], and [math]\displaystyle{ \tau_{RS} }[/math]. The first two shear strength are for failure at maximum shear stress in planes parallel to the axial direction. When failure occurs in such a plane, the resulting crack will either be parallel to the axial direction (if [math]\displaystyle{ \tau_A \lt \tau_T }[/math]) or through the axial direction (if [math]\displaystyle{ \tau_T\lt \tau_A }[/math]) . The last shear strength is for failure in the isotropic plane, which occurs in the maximum shear stress direction in that plane.

Damage Law Properties

The following table lists the input properties for this initiation law

Property Description Units Default
sigmacA Critical stress for failure in the axial direction (output as sigcA) pressure units infinite
sigmac Critical transverse tensile strength for tensile failure in the isotropic plane (output as sigcT) pressure units infinite
taucA Critical shear stress for failure due to axial shear stress with failure parallel to the axial direction pressure units infinite
taucT Critical shear stress for failure due to axial shear stress with failure through the axial direction pressure units infinite
tauc Critical transverse shear stress for shear failure n the isotropic plane (output as taucRS) pressure units infinite