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Research on Sobolev training for interpretable constitutive models with level set hardening accepted by CMAME

1/22/2021

1 Comment

 
In this work, our goal is to create a generic meta-model that generates constitutive laws for any rate-independent elastoplastic solid with non-vanishing yield surface. Instead of introducing complex neural network to facilicate the machine learning, we break down the process of writing constitutive laws into multiple parts (elasticity, yield surface evolution and plastic flow) each associated with a supervised learning problem designed for generating functionals with properties. This meta-model enable us to (1) more effectively explore the parametric space (i.e. knowing which experiments will improve the model performance), (2) discover previously unknown hardening/softening mechanisms (e.g. any deformation and translation of the yield surface in the principal stress space and the extension to general stress space), and (3) enforce/examine thermodynamic constraints (e.g. Drucker's Postulate) #machinelearning4mechanics #materialmodels. Preprint available [here].
1 Comment
CHALAVADI SAI SRUJAN KUMAR
1/25/2021 09:28:56 am

Dear Sir,

I am working in Rock Mechanics. Is it possible to develop constitutive behaviour models for rock mass? Because in our field it is one of the difficult task. I will be happy to share further details.

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Prof. Steve Sun
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