A SIMULIA e-Learning Resource
 Created using Abaqus 6.6 and 6.12

You can use Analytical fields to define spatially varying parameters for selected prescribed conditions, such as the variation of pressure over a surface:

You can also use analytical fields to define the spatial variation of: 

• shell edge loads
• surface traction loads
• temperature fields
• film coefficients in surface film condition interactions and concentrated film condition interactions
• emissivity in surface radiative interactions and concentrated radiative interactions

In this post we will focus on analytical expression fields, for which spatial variation is defined using analytical functions. Abaqus/CAE also supports analytical mapped fields that allow you to define spatially varying parameter values from an external data source. For example, you can define a spatially varying pressure load by providing the pressure values at different coordinates. Parameter values can be read in from a point cloud data file generated by a third-party CAE application or from an Abaqus output database (.odb) file.

Narrated Video

Watch the video below to learn how to create and use analytical expression fields in Abaqus/CAE. Note that even though this demo was created using Abaqus 6.6, the techniques demonstrated are still applicable in to Abaqus/CAE today.

The following video includes:
- Introduction (slides; 0:00 – 0:25)
- Defining nonuniform pressure loads
       --  (A)  Linear analytical field defined in advance (demonstration; 0:25 – 1:26)
       --  (B)  Cubic analytical field defined on-the-fly while creating the load
  (demonstration; 1:26 – 2:05)
- Other uses for analytical fields (slides; 2:05 – 2:30 )
       --  (C)  Compare results (demonstration; 2:30 – 3:00 )
 - Defining a nonuniform temperature load (demonstration; 3:00 – 4:38)

This video was recorded using Abaqus 6.6 and is also included in the Introduction to Abaqus 6.6 web-based training site.

Now You try it!

Click the icon below to download the attached file AnalyticalFields-CrackModel-Abaqus612.zip.

This file includes the example model shown in the demonstration. It also includes the step-by-step instructions (AnalyticalFields-CrackModel-StepByStep-Abaqus612.pdf) to help you practice create nonuniform pressure loads using analytical fields.

This exercise was produced using Abaqus 6.12.

References:

“The Analytical Field toolset,” Chapter 58 of the Abaqus/CAE 6.12 User's Manual

The load cases used in this example where chosen for demonstration purpose only; the geometry and material used are from the “Contour integral evaluation: two-dimensional case,” Section 1.16.1 of the Abaqus 6.12 Benchmarks Manual  (case Symmetric three-dimensional double-edged notch specimen meshed using fully integrated plane continuum elements).

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