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## ForceToStress Solver

### General Informations

• Solver Fortran File: `ForceToStress.f90`
• Solver Name: `ForceToStress`
• Required Output Variable(s): `Stress` (user defined)
• Required Input Variable(s): `Force`
• Optional Output Variable(s): None
• Optional Input Variable(s): None

### General Description

For a given boundary, this solver computes the nodal normal stress equivalent to a given nodal normal force. This can be used also to infer the flux from the knowledge of a debit (should work also to infer a tangential force from the knowledge of a tangential force).

### SIF contents

In the SIF example below, the normal stress on a boundary is inferred from the 3rd component of the Stokes residual.

```Solver 1
Equation = "Navier-Stokes"
Stabilization Method = String Stabilized
Flow Model = Stokes
...

Exported Variable 1 = Flow Solution Loads[Fx:1 Fy:1 Force:1 CEQ Residual:1 ]
End

Solver 2
Equation = "ForceToStress"
Procedure = File "./ForceToStress" "ForceToStress"
Variable = String "Stress"
Variable DOFs = 1

Linear System Solver = Direct
Linear System Direct Method = umfpack
End

! Solve this for body Id 2 (=boundary 3 here)
Equation 2
Active Solvers(1) = 2
End

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Boundary Condition 3
Target Boundaries = 5
Body Id = 2
...
End```

### Examples

In this example, a pressure applied on a boundary is first integrated to get nodal force using the GetHydrostaticLoad Solver, and then the pressure is recovered using the ForceToStress Solver.