Hello everyone,
I am trying to perform an Adjoint Design Sensitivity Analysis in Abaqus, particularly a Topology Sensitivity one.
I want to find the derivative of the stress with respect to the density, element by element.
The Abaqus guide says that I must use scaling factors (for Mass, Stress, and Stiffness) since relative density is used in topology optimization (density which spaces between 0 and 1), by the definition of a table, which sets the scaling factors (of the value and his derivative) for every element.
What are those scaling factors? Why have I to set them? How can I scale stress before running an optimization?
Thanks.
Thank you for your response,
I'm trying to minimize the stress and create my code on MATLAB that performs the topology optimization.
Since I am using a gradient method, derivatives of stress are needed. ABAQUS can calculate the derivative of the stress with respect to density by using the AVM (and then I will have to manipulate this data in MATLAB, I will not use it as it is).
Why You Need Them: These factors ensure that the values of mass, stress, and stiffness are adjusted to reflect the relative density used in topology optimization, making your analysis accurate.
How to Use Them:
- Define a Table: Specify scaling factors for mass, stress, and stiffness in this table.
- Apply the Table: Use this table in your optimization setup so Abaqus correctly scales these quantities based on the relative density of each element.
- https://caeassistant.com/product/seismic-analysis-post-tensioned-concrete-gravity-dams/
Thank you for your response.
I still have a doubt: it is known that in topology optimizations, the Young’s Modulus is penalized based on relative density. Is the change of the Young Modulus considered in the ADJOINT DESIGN SENSITIVITY ANALYSIS, or the density affect only other parameters (like a centrifugal force)?
Sorry to bother you, recently I was using abaqus to do topology optimization involving stress constraints, and I would like to know the specific derivation process about stress sensitivity. I didn't find any specific derivation process in abaqus related materials. Do you have any information about how to derive stress sensitivity in abaqus?