PyTorch-FEA: Autograd-enabled finite element analysis methods with applications for biomechanical analysis of human aorta

L Liang, M Liu, J Elefteriades, W Sun - Computer Methods and Programs in …, 2023 - Elsevier
Background and objectives Finite-element analysis (FEA) is widely used as a standard tool
for stress and deformation analysis of solid structures, including human tissues and organs …

Deep learning without stress data on the discovery of multi-regional hyperelastic properties

R Shi, H Yang, J Chen, K Hackl, S Avril, Y He - Computational Mechanics, 2025 - Springer
Constitutive material modeling is an important basis for mechanical analysis. Machine
learning methods based on neural networks have been extensively used for the discovery of …

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 …

A method for determining elastic constants and boundary conditions of three-dimensional hyperelastic materials

T Xu, M Li, Z Wang, Y Hu, S Du, Y Lei - International Journal of Mechanical …, 2022 - Elsevier
Although there have been many studies on the identification of elastic constants and
boundary conditions, it is still challenging to simultaneously estimate the unknown elastic …

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 …

Inverse characterization of a material model using an ensemble-based four-dimensional variational method

S Sueki, A Ishii, S Coppieters, A Yamanaka - International Journal of Solids …, 2023 - Elsevier
The identification accuracy of material model parameters is essential for accurately
predicting the deformation behavior of metallic materials (eg, metal forming) using a finite …

Moving morphable inclusion approach: an explicit framework to solve inverse problem in elasticity

Y Mei, Z Du, D Zhao, W Zhang… - Journal of Applied …, 2021 - asmedigitalcollection.asme.org
In this work, we present a novel inverse approach to characterize the nonhomogeneous
mechanical behavior of linear elastic solids. In this approach, we optimize the geometric …

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 …

A comparative study of direct and iterative inversion approaches to determine the spatial shear modulus distribution of elastic solids

Z Liu, Y Sun, J Deng, D Zhao, Y Mei… - International Journal of …, 2019 - World Scientific
This paper presents a comparative study of two typical inverse algorithms, ie, direct and
iterative inversion methods, to reconstruct the shear modulus distribution of linearly elastic …