SIGNALAI·Jun 18, 2026, 4:00 AMSignal75Medium term

A Convex Route to Thermoelasticity: Learning Internal Energy and Dissipation

Source: arXiv cs.AI

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A Convex Route to Thermoelasticity: Learning Internal Energy and Dissipation

arXiv:2603.28707v3 Announce Type: replace-cross Abstract: 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 prefer

Why this matters
Why now

The accelerating pace of AI research, particularly in physics-informed neural networks and material science, is enabling new approaches to complex engineering problems.

Why it’s important

This development represents a significant step towards more accurate and efficient computational modeling of materials, which is critical for advanced manufacturing and design.

What changes

Traditional constitutive modeling in thermomechanics can be augmented or potentially superseded by AI-driven discovery, leading to more robust and predictive material simulations.

Winners
  • · Material science researchers
  • · Advanced manufacturing industries
  • · AI/ML engineering firms
  • · Aerospace and automotive sectors
Losers
  • · Traditional empirical material testing labs (if slow to adapt)
  • · Legacy simulation software providers
Second-order effects
Direct

More accurate simulations of material behavior under extreme conditions become possible.

Second

Accelerated discovery of novel materials with tailored thermomechanical properties could revolutionize engineering applications.

Third

This could lead to a 'digital twin' approach for entire physical systems, predicting failure and optimizing performance with unprecedented precision.

Editorial confidence: 85 / 100 · Structural impact: 60 / 100
Original report

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