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20212026
most citedTheory and implementation of inelastic Constitutive Artificial Neural Networks

83 citations · 168 across the 20 of their papers we have counts for

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cs.LG2026

Learning the Constitutive Behavior of Materials via Neural Operators and Causal Attention: Case Studies in Plasticity and Damage

Rishabh Arora, Lisa Scheunemann, Tim Brepols +1

Classical constitutive modeling of path-dependent inelastic materials relies on internal state variables whose evolution equations must be postulated based on domain knowledge and…

cs.LG2025★ 12 cited

A generalized dual potential for inelastic Constitutive Artificial Neural Networks: A JAX implementation at finite strains

Hagen Holthusen, Kevin Linka, Ellen Kuhl +1

We present a methodology for designing a generalized dual potential, or pseudo potential, for inelastic Constitutive Artificial Neural Networks (iCANNs). This potential, expressed…

cs.LG2024★ 15 cited

Automated Model Discovery for Tensional Homeostasis: Constitutive Machine Learning in Growth and Remodeling

Hagen Holthusen, Tim Brepols, Kevin Linka +1

Soft biological tissues exhibit a tendency to maintain a preferred state of tensile stress, known as tensional homeostasis, which is restored even after external mechanical stimuli…

cs.LG2024★ 38 cited

A finite element-based physics-informed operator learning framework for spatiotemporal partial differential equations on arbitrary domains

Yusuke Yamazaki, Ali Harandi, Mayu Muramatsu +5

We propose a novel finite element-based physics-informed operator learning framework that allows for predicting spatiotemporal dynamics governed by partial differential equations (…

cs.LG2023★ 83 cited

Theory and implementation of inelastic Constitutive Artificial Neural Networks

Hagen Holthusen, Lukas Lamm, Tim Brepols +2

Nature has always been our inspiration in the research, design and development of materials and has driven us to gain a deep understanding of the mechanisms that characterize aniso…