paper-with-me

Papers

A Physics-Informed Neural Network Framework for Elastodynamic Wave Propagation in Bimaterial Systems

2026-07-07 · Sonal Ankush Chibire, Jenn-Terng Gau, Bo Zhang arxiv

Physics-informed neural networks (PINNs) provide a promising framework for solving partial differential equations while embedding the underlying physical laws directly into the learning process. This study presents a PINN-based framework for modeling transient elastodynamic wave propagation in bimaterial systems governed by the axisymmetric equations of linear elasticity. A steel-aluminum specimen representative of a Split Hopkinson Pressure Bar configuration is considered, and the governing elastodynamic equations, together with the corresponding initial, boundary, and interface conditions, are incorporated directly into the network through a physics-informed loss function. High-fidelity finite-element simulations performed using ANSYS Workbench Explicit Dynamics are used for validation and as supplementary data constraints during training. The proposed framework accurately predicts wave transmission and reflection across the bimaterial interface and reproduces axial and radial displacement histories, face-averaged responses, and the dominant stress and strain evolution with close agreement to the finite-element solutions. The trained network further demonstrates the ability to predict wave responses at previously unseen time instants and for modified material properties without requiring additional finite-element simulations, providing a continuous surrogate model for elastodynamic analysis. Mesh-sensitivity studies confirm numerical robustness, while additional material combinations demonstrate the generality of the proposed methodology. The results show that integrating physics-informed neural networks with explicit finite-element analysis provides an accurate and computationally efficient framework for elastodynamic wave propagation in heterogeneous solids, offering an effective surrogate modeling approach for high-rate solid mechanics and impact engineering applications.

📄 PDF Abstract BibTeX arXiv:2607.06479

Code (0)

등록된 구현이 없습니다.

Similar Papers 제목 키워드 기반

A Unified Physics-Informed Neural Network for Modeling Coupled Electro- and Elastodynamic Wave Propagation Using Three-Stage Loss Optimization

2026-02-14 · Suhas Suresh Bharadwaj, Reuben Thomas Thovelil arxiv

Physics-Informed Neural Networks present a novel approach in SciML that integrates physical laws in the form of partial differential equations directly into the NN through soft constraints in the loss function. This work…

Physics informed deep learning for computational elastodynamics without labeled data

2020-06-10 · Chengping Rao, Hao Sun, Yang Liu

Numerical methods such as finite element have been flourishing in the past decades for modeling solid mechanics problems via solving governing partial differential equations (PDEs). A salient aspect that distinguishes th…

Deep LearningPhilosophy

Error Analysis of Physics-Informed Neural Networks for Approximating Dynamic PDEs of Second Order in Time

2023-03-22 · Yanxia Qian, Yongchao Zhang, Yunqing Huang, Suchuan Dong

We consider the approximation of a class of dynamic partial differential equations (PDE) of second order in time by the physics-informed neural network (PINN) approach, and provide an error analysis of PINN for the wave …

Physics-Informed Neural Network-Driven Sparse Field Discretization Method for Near-Field Acoustic Holography

2025-05-01 · Xinmeng Luan, Mirco Pezzoli, Fabio Antonacci, Augusto Sarti

We propose the Physics-Informed Neural Network-driven Sparse Field Discretization method (PINN-SFD), a novel self-supervised, physics-informed deep learning approach for addressing the Near-Field Acoustic Holography (NAH…

RadioDiff-$k^2$: Helmholtz Equation Informed Generative Diffusion Model for Multi-Path Aware Radio Map Construction

2025-04-22 · Xiucheng Wang, Qiming Zhang, Nan Cheng, Ruijin Sun 외

In this paper, we propose a novel physics-informed generative learning approach, termed RadioDiff-$\bm{k^2}$, for accurate and efficient multipath-aware radio map (RM) construction. As wireless communication evolves towa…