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Hi All, I am going to model densit

Hi All, I am going to model densit

Hi All, I am going to model densit

Hi All,
I am going to model density that is changing through the thickness for graded plates.
Before, I wrote UMAT to model variation of elastic modulus through the thickness and I solved my bending problem. But at this moments I want to add density to solve vibration as well.
I dont know how can I modell that. I mean if I define the density as a function of z in UMAT how abaqus define density in its solution. because in UMAT, elastic modulus can be related to stress and strain but there is no calling for density.

I would greatly appreciate if you help me.
please see the attached file for UMAT for variation of elastic modulus for bending analysis

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