Analyses of internal structures and defects in materials using physics-informed neural networks

E Zhang, M Dao, GE Karniadakis, S Suresh - Science advances, 2022 - science.org
Characterizing internal structures and defects in materials is a challenging task, often
requiring solutions to inverse problems with unknown topology, geometry, material …

Recovery of information on the depth-dependent profile of elastic FGMs from indentation experiments

II Argatov, FJ Sabina - International Journal of Engineering Science, 2022 - Elsevier
A perturbation technique is applied to construct the first-order perturbation model for the
incremental indentation stiffness in normal frictionless indentation of an isotropic functionally …

A direct method to identify Young's moduli and boundary conditions of the heterogeneous material

T Xu, M Li, Z Wang, Y Hu, S Du, Y Lei - International Journal of Mechanical …, 2025 - Elsevier
Identifying unknown Young's moduli and boundary conditions of the heterogeneous material
using locally observed boundary data is the inverse problem which is generally solved by …

Data-driven elasticity imaging using cartesian neural network constitutive models and the autoprogressive method

C Hoerig, J Ghaboussi… - IEEE transactions on …, 2018 - ieeexplore.ieee.org
Quasi-static elasticity imaging techniques rely on model-based mathematical inverse
methods to estimate mechanical parameters from force-displacement measurements. These …

A FEM-based direct method for identification of Young's modulus and boundary conditions in three-dimensional linear elasticity from local observation

T Xu, Z Wang, Y Hu, S Du, A Du, Z Yu, Y Lei - International Journal of …, 2023 - Elsevier
Simultaneously identifying unknown Young's modulus and boundary conditions of a linear
elastic material with the measurements only on a part of its boundary is an inverse problem …

Topology optimization with physics-informed neural networks: application to noninvasive detection of hidden geometries

S Mowlavi, K Kamrin - arXiv preprint arXiv:2303.09280, 2023 - arxiv.org
Detecting hidden geometrical structures from surface measurements under electromagnetic,
acoustic, or mechanical loading is the goal of noninvasive imaging techniques in medical …

A multiple-data-based direct method for inverse problem in three-dimensional linear elasticity

T Xu, Z Wang, Y Hu, S Du, Y Lei - International Journal of Mechanical …, 2023 - Elsevier
Estimating the unknown Young's modulus and boundary conditions of an elastic object from
locally observed boundary data is an inverse problem which is usually solved by iterative …

Image-based tomography of structures to detect internal abnormalities using inverse approach

M Shafiei Dizaji, M Alipour, DK Harris - Experimental Techniques, 2022 - Springer
Image-based techniques have been extensively deployed in the fields of condition
assessment and structural mechanics to measure surface effects such as displacements or …

Inference of Heterogeneous Material Properties via Infinite-Dimensional Integrated DIC

J Kirchhoff, D Luo, T O'Leary-Roseberry… - arXiv preprint arXiv …, 2024 - arxiv.org
We present a scalable and efficient framework for the inference of spatially-varying
parameters of continuum materials from image observations of their deformations. Our goal …

Mechanics based tomography: a preliminary feasibility study

Y Mei, S Wang, X Shen, S Rabke, S Goenezen - Sensors, 2017 - mdpi.com
We present a non-destructive approach to sense inclusion objects embedded in a solid
medium remotely from force sensors applied to the medium and boundary displacements …