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AI models learn constitutive laws in mechanics and thermomechanics

Researchers have developed novel physics-informed neural network frameworks for discovering constitutive models in mechanics. One approach focuses on identifying anisotropic yield functions in plasticity by representing them as convex neural networks, trained using force equilibrium losses and validated against benchmark studies. Another framework addresses fully coupled thermomechanics by learning internal energy and dissipation potentials using input convex neural networks, ensuring thermodynamic admissibility and demonstrating accuracy on synthetic and experimental data. AI

IMPACT These frameworks could accelerate the development of more accurate and efficient material models in engineering simulations.

RANK_REASON Two arXiv papers detailing novel physics-informed neural network frameworks for discovering constitutive models in mechanics.

Read on arXiv cs.LG →

AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

AI models learn constitutive laws in mechanics and thermomechanics

COVERAGE [2]

  1. arXiv cs.LG TIER_1 English(EN) · Hyeonbin Moon, Donghyuk Cho, Jecheon Yu, Jeong Whan Yoon, Seunghwa Ryu ·

    Physics-Informed Discovery of Yield Functions in Plasticity via Convex Neural Representations

    arXiv:2606.19375v1 Announce Type: new Abstract: Identifying anisotropic yield functions remains challenging since yielding is not directly observed in full-field mechanical measurements, directional calibration can require many loading directions, and selecting an appropriate ana…

  2. arXiv cs.AI TIER_1 English(EN) · Hagen Holthusen, Paul Steinmann, Ellen Kuhl ·

    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 ener…