[Core][StructuralMechanicsApplication] Refactor solid element methods to ensure consistent Jacobian computation for Updated and Total Lagrangian elements

[loumalouomega]

📝 Description

Related #13350

This PR refactors several files in the StructuralMechanicsApplication related to solid elements, with the main objective of ensuring consistent computation of the Jacobian for both Updated and Total Lagrangian elements. I remember that that inconsistency is something we (@RiccardoRossi and I) discussed at the time. We should discuss this.

The changes include:

1. BaseSolidElement:

   • Refactored the CalculateDeltaDisplacement method to use GeometryUtils::CalculateDeltaDisplacement, which ensures consistent and accurate computation of displacement increments.
   • Updated type definitions in the header file to use using instead of typedef for clarity and consistency.
   • Cleaned up code, improved the consistency of function signatures, and removed unnecessary lines.

2. UpdatedLagrangian:

   • Removed the deprecated CalculateDerivativesOnReferenceConfiguration method and its declaration to streamline the code and focus on necessary computations.
   • Fixed the header file to include all necessary dependencies and ensure proper functionality.

3. GeometryUtilities:

   • Improved the handling of displacement differences to ensure accurate Jacobian calculations, particularly addressing issues when the mesh is not moved, such as during non-linear iterations.

The overall goal of these changes is to provide a more consistent and robust method for calculating the Jacobian in both the Updated and Total Lagrangian formulations.

🆕 Changelog

• Consistent initial configuration computation for solid element

[loumalouomega]

Well, this is failing as expected

[loumalouomega]

I will close this, as not the actual solution