In SimSolid, uniaxial and multiaxial fatigue analysis
using SN (stress-life) and EN (strain-life) approach is supported.

Models with uniaxial loads consist of loading in only one direction and result in one
principal stress. In Uniaxial Fatigue Analysis, SimSolid
converts the stress tensor to a scalar value using user-defined combined stress
method (signed von Mises, maximum principal, absolute max principal, signed maximum
shear stress, and critical plane).

For critical plane stress, nominal stress resolved at each plane 𝜃 is calculated
by:

SimSolid expects the number of planes as input, which are
converted to equivalent 𝜃 using the following equation:

$$\theta =\frac{180}{n-2}$$

In Multiaxial Fatigue Analysis, SimSolid uses the stress
tensor directly to calculate damage. Multiaxial Fatigue Analysis theories assume
that stress is in the plane-stress state.

In multiaxial fatigue analysis, SimSolid always searches
for the most damaging plane by assessing damage using tensile crack damage model and
shear crack damage model. At the end of search, SimSolid
reports damage at the most damaging plane which is the critical plane.

Critical Plane Approach

Experiments show that cracks nucleate and grow on specific planes known as critical
planes. The Critical Plane Approach captures the physical nature of damage in its
damage assessment process.

Depending on the material and stress states, the critical planes can be either
maximum shear planes or maximum tensile stress planes. Therefore, to assess damage
from multiaxial loads, two separate damage models are required. One is for crack
growth due to shear, and the other is for crack growth due to tension.

You can use any damage model the critical plane approach. The damage models require a
search for the most damaging plane. There are two possible damaging (or failure)
modes. One is tensile crack growth, which occurs on planes that are perpendicular to
the free surface. The angle θ is the angle that a crack is observed on the surface
relative to the σx direction. The second failure system is shear crack growth, which
occurs on planes oriented 45 degrees to the surface. Both in-plane and out-of-plane
shear stresses are considered on this plane. θ can take on any value on the surface.
The shear stress τA is an in-plane shear stress and causes microcracks to grow along
the surface. The maximum out-of-plane shear, τB occurs on a plane that is oriented
at 45 degrees from the free surface and causes microcracks to grow into the
surface.