Physics-informed Neural Networks (PINN) for computational solid mechanics: Numerical frameworks and applications

• Tackling multiphysics problems via finite element guided physics-informed operator learning

  2026 Results in Engineering article Physics and Astronomy Model Reduction and Neural Networks Open access

  2

  citations
• A new set of test functions for variational physics-informed neural networks in solid mechanics

  2026 Journal of Computational Physics article Physics and Astronomy Model Reduction and Neural Networks Open access

  0

  citations
• Transfer-learned Kolosov–Muskhelishvili informed neural networks for fracture mechanics

  2026 Theoretical and Applied Fracture Mechanics article Engineering Numerical methods in engineering Open access

  4

  citations
• Machine learning based surrogate modeling of the deformation behavior of large compliant thin-walled structures

  2026 Procedia CIRP article Physics and Astronomy Model Reduction and Neural Networks Open access

  0

  citations
• Physics-informed neural network for constitutive modeling of cyclic crystal plasticity considering deformation mechanism

  2025 International Journal of Mechanical Sciences article Materials Science Machine Learning in Materials Science cited by 1 patent

  32

  citations

5 results

• Constitutive artificial neural networks: A fast and general approach to predictive data-driven constitutive modeling by deep learning

  2020 Journal of Computational Physics article Materials Science Machine Learning in Materials Science Open access cited by 3 patents

  341

  citations
• Polyconvex anisotropic hyperelasticity with neural networks

  2021 Journal of the Mechanics and Physics of Solids article Engineering Elasticity and Material Modeling Open access

  238

  citations
• A mixed formulation for physics-informed neural networks as a potential solver for engineering problems in heterogeneous domains: comparison with finite element method

  2022 arXiv (Cornell University) preprint Physics and Astronomy Model Reduction and Neural Networks Open access

  216

  citations
• Mixed formulation of physics‐informed neural networks for thermo‐mechanically coupled systems and heterogeneous domains

  2023 International Journal for Numerical Methods in Engineering article Physics and Astronomy Model Reduction and Neural Networks Open access

  98

  citations
• Learning solutions of thermodynamics-based nonlinear constitutive material models using physics-informed neural networks

  2024 Computational Mechanics article Physics and Astronomy Model Reduction and Neural Networks

  82

  citations

5 results