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Cracking is a common failure mode in asphalt concrete (AC) pavements. Many tests have been developed to characterize the fracture behavior of AC. Accurate crack detection during testing is crucial to describe AC fracture behavior. This…

Computer Vision and Pattern Recognition · Computer Science 2023-05-10 Zehui Zhu , Imad L. Al-Qadi

High-strain-rate shear tests were conducted on a three-layered bonded test piece comprising a central aluminum layer with PMMA resin layers bonded on both sides. Upon calculating the displacement field and the strain field using digital…

Materials Science · Physics 2021-08-18 Tomohisa Kojima , Yuta Kimura , Shuichi Arikawa , Mitsuo Notomi

In this paper, we develop a modified nonlinear dynamic diffusion (DD) finite element method for convection-diffusion-reaction equations. This method is free of stabilization parameters and is capable of precluding spurious oscillations. We…

Numerical Analysis · Mathematics 2025-03-11 Shaohong Du , Qianqian Hou , Xiaoping Xie

Post buckling problem of a large deformed beam is analyzed using canonical dual finite element method (CD-FEM). The feature of this method is to choose correctly the canonical dual stress so that the original non-convex potential energy…

Computational Engineering, Finance, and Science · Computer Science 2013-02-19 Kun Cai , David Y. Gao , Qing H. Qin

Microscopic digital volume correlation (DVC) and finite element precoalescence strain evaluations are compared for two nodular cast iron specimens. Displacement fields from \textit{in-situ} 3D synchrotron laminography images are obtained by…

Micromechanical constitutive parameters are important for many engineering materials, typically in microelectronic applications and material design. Their accurate identification poses a three-fold experimental challenge: (i) deformation of…

Soft Condensed Matter · Physics 2023-02-08 O. Rokoš , R. H. J. Peerlings , J. P. M. Hoefnagels , M. G. D. Geers

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 is the nondestructive identification of arbitrary damage,…

Numerical Analysis · Mathematics 2024-08-21 Joseph Kirchhoff , Dingcheng Luo , Thomas O'Leary-Roseberry , Omar Ghattas

Stereo optical measurement techniques, such as digital image correlation (DIC), are widely used in 3D deformation measurement as non-contact, full-field measurement methods, in which stereo calibration is a crucial step. However, current…

Computer Vision and Pattern Recognition · Computer Science 2025-11-25 Dongcai Tan , Shunkun Liang , Bin Li , Banglei Guan , Ang Su , Yuan Lin , Dapeng Zhang , Minggang Wan , Zibin Liu , Chenglong Wang , Jiajian Zhu , Zhang Li , Yang Shang , Qifeng Yu

Elucidating the biomechanical behavior of the myocardium is crucial for understanding cardiac physiology, but cannot be directly inferred from clinical imaging and typically requires finite element (FE) simulations. However, conventional FE…

Medical Physics · Physics 2025-06-27 Siyu Mu , Wei Xuan Chan , Choon Hwai Yap

We propose and analyze an adaptive finite element method for a phase-field model of dynamic brittle fracture. The model couples a second-order hyperbolic equation for elastodynamics with the Ambrosio-Tortorelli regularization of the…

Numerical Analysis · Mathematics 2025-10-08 Ram Manohar , S. M. Mallikarjuaniah

Change detection, i.e. identification per pixel of changes for some classes of interest from a set of bi-temporal co-registered images, is a fundamental task in the field of remote sensing. It remains challenging due to unrelated forms of…

Computer Vision and Pattern Recognition · Computer Science 2021-09-20 Foivos I. Diakogiannis , François Waldner , Peter Caccetta

We present a stable finite element method for incompressible nonlinear elasticity based on a four-field mixed formulation involving the displacement, displacement gradient, first Piola--Kirchhoff stress and pressure. Unlike existing…

Numerical Analysis · Mathematics 2026-03-11 Santiago Badia , Wei Li , Ricardo Ruiz-Baier

A micromorphic computational homogenization framework has recently been developed to deal with materials showing long-range correlated interactions, i.e. displaying patterning modes. Typical examples of such materials are elastomeric…

Soft Condensed Matter · Physics 2024-06-21 S. Maraghechi , O. Rokoš , R. H. J. Peerlings , M. G. D. Geers , J. P. M. Hoefnagels

A discrete-module-finite element (DMFE) based hydroelasticity method has been proposed and well developed. Firstly, a freely floating flexible structure is discretized into several macro-submodules in two horizontal directions to perform a…

Fluid Dynamics · Physics 2023-01-18 Yongqiang Chen , Xiantao Zhang , Lei Liu , Xinliang Tian , Xin Li , Zhengshun Cheng

We introduce the concept of data-driven finite element methods. These are finite-element discretizations of partial differential equations (PDEs) that resolve quantities of interest with striking accuracy, regardless of the underlying mesh…

Numerical Analysis · Mathematics 2022-11-15 Ignacio Brevis , Ignacio Muga , Kristoffer G. van der Zee

A proof of convergence is given for a novel evolving surface finite element semi-discretization of Willmore flow of closed two-dimensional surfaces, and also of surface diffusion flow. The numerical method proposed and studied here…

Numerical Analysis · Mathematics 2020-07-31 Balázs Kovács , Buyang Li , Christian Lubich

A recently developed Projection-based Digital Image Correlation (P-DVC) method is here extended to 4D (space and time) displacement field measurement and mechanical identification based on a single radiograph per loading step instead of…

Computational Physics · Physics 2019-05-23 Clément Jailin , Ante Buljac , Amine Bouterf , François Hild , Stéphane Roux

Image compression is a widely used technique to reduce the spatial redundancy in images. Recently, learning based image compression has achieved significant progress by using the powerful representation ability from neural networks.…

Image and Video Processing · Electrical Eng. & Systems 2020-05-26 Jiaheng Liu , Guo Lu , Zhihao Hu , Dong Xu

Thanks to recent advances in CNNs, solid improvements have been made in semantic segmentation of high resolution remote sensing imagery. However, most of the previous works have not fully taken into account the specific difficulties that…

Computer Vision and Pattern Recognition · Computer Science 2017-09-04 Ryuhei Hamaguchi , Aito Fujita , Keisuke Nemoto , Tomoyuki Imaizumi , Shuhei Hikosaka

The modeling of large deformation fracture mechanics has been a challenging problem regarding the accuracy of numerical methods and their ability to deal with considerable changes in deformations of meshes where having the presence of…

Numerical Analysis · Computer Science 2019-03-21 Hai D. Huynh , Phuong Tran , Xiaoying Zhuang , H. Nguyen-Xuan
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