A Convex Route to Thermoelasticity: Learning Internal Energy and Dissipation
We present a physics-based neural network framework for the discovery of constitutive models in fully coupled thermomechanics. In contrast to classical formulations based on the Helmholtz energy, we adopt the internal energy and a dissipation potential as primary constitutive functions, expressed in terms of deformation and entropy. This choice avoids the need to enforce mixed convexity--concavity conditions and facilitates a consistent incorporation of thermodynamic principles. In this contribution, we focus on materials without preferred directions or internal variables. While the formulation is posed in terms of entropy, the temperature is treated as the independent observable, and the...
| Authors | Hagen Holthusen, Paul Steinmann, Ellen Kuhl |
|---|---|
| Primary category | cs.CE |
| Published | 30 March 2026 |
| Last updated at source | 17 June 2026 |
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