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Hypo-elastoplasticity is a framework suitable for modeling the mechanics of many hard materials that have small elastic deformation and large plastic deformation. In most laboratory tests for these materials the Cauchy stress is in…

Computational Physics · Physics 2025-01-22 Jiayin Lu , Chris H. Rycroft

This research assesses the performance of two deep learning models, SAM and U-Net, for detecting cracks in concrete structures. The results indicate that each model has its own strengths and limitations for detecting different types of…

Computer Vision and Pattern Recognition · Computer Science 2024-10-03 Mohsen Ahmadi , Ahmad Gholizadeh Lonbar , Hajar Kazemi Naeini , Ali Tarlani Beris , Mohammadsadegh Nouri , Amir Sharifzadeh Javidi , Abbas Sharifi

We propose a new unfitted finite element method for simulation of two-phase flows in presence of insoluble surfactant. The key features of the method are 1) discrete conservation of surfactant mass; 2) the possibility of having meshes that…

Numerical Analysis · Mathematics 2022-11-30 Thomas Frachon , Sara Zahedi

Metallic glasses are frequently used as structural materials. Therefore, it is important to develop methods to predict their mechanical response as a function of the microstructure prior to loading. We develop a coarse-grained spring…

Materials Science · Physics 2023-07-25 Aya Nawano , Jan Schroers , Mark D. Shattuck , Corey S. O'Hern

One dimensional analytical porosity-weighted solutions of the dual-porosity model are derived, providing insights on how to relate exchange and storage coefficients to the volumetric density of the high-permeability medium. It is shown that…

Fluid Dynamics · Physics 2011-08-30 F. Cornaton , P. Perrochet

We propose an effective and flexible way to implement 2D and 3D elastoplastic problems in MATLAB using fully vectorized codes. Our technique is applied to a broad class of the problems including perfect plasticity or plasticity with…

Numerical Analysis · Mathematics 2018-09-07 Martin Čermák , Stanislav Sysala , Jan Valdman

A multiscale numerical method is proposed for the solution of semi-linear elliptic stochastic partial differential equations with localized uncertainties and non-linearities, the uncertainties being modeled by a set of random parameters. It…

Numerical Analysis · Mathematics 2019-01-23 Anthony Nouy , Florent Pled

A computational approach has been developed for the analysis of the properties of 3D dislocation substructures generated by the vector density continuum dislocation dynamics (CDD), within the framework of crystal plasticity. In the CDD…

We present results on a series of 2D atomistic computer simulations of amorphous systems subjected to simple shear in the athermal, quasistatic limit. The athermal quasistatic trajectories are shown to separate into smooth, reversible…

Soft Condensed Matter · Physics 2016-08-16 Craig E. Maloney , Anaël Lemaître

Existing structural analysis methods may fail to find all hidden constraints for a system of differential-algebraic equations with parameters if the system is structurally unamenable for certain values of the parameters. In this paper, for…

Numerical Analysis · Mathematics 2024-01-11 Wenqiang Yang , Wenyuan Wu , Greg Reid

The Tangential-Displacement Normal-Normal-Stress (TDNNS) method is a finite element method that was originally introduced for elastic solids and later extended to piezoelectric materials. It uses tangential components of the displacement…

Numerical Analysis · Mathematics 2020-01-22 Martin Meindlhumer , Astrid Pechstein

A phase-field description of brittle fracture is employed in the reported four-point bending analyses of monolithic and laminated glass plates. Our aims are: (i) to compare different phase-field fracture formulations applied to thin glass…

Computational Engineering, Finance, and Science · Computer Science 2020-12-30 Jaroslav Schmidt , Alena Zemanová , Jan Zeman , Michal Šejnoha

In this paper we extend the recent theory of shear-localization in 2-dimensional amorphous solids to 3-D. In 2-D the fundamental instability of shear-localization is related to the appearance of a line of displacement quadrupoles, that…

Soft Condensed Matter · Physics 2015-12-11 Ratul Dasgupta , Oleg Gendelman , Pankaj Mishra , Itamar Procaccia , Carmel A. B. Z. Shor

Physics-informed neural networks provide a mesh-free framework for solving partial differential equation-governed problems in solid mechanics. However, most existing formulations in linear elasticity still learn the displacement field…

Computational Engineering, Finance, and Science · Computer Science 2026-05-05 Shuwei Zhou , Christian Häffner , Sophie Stebner , Niklas Fehlemann , Zhichao Wei , Sebastian Münstermann

Understanding crack propagation in structures subjected to fluid loads is crucial in various engineering applications, ranging from underwater pipelines to aircraft components. This study investigates the dynamic response of structures,…

Computational Engineering, Finance, and Science · Computer Science 2023-10-06 Md Rushdie Ibne Islam

Pavement damage segmentation has benefited enormously from deep learning. % and large-scale datasets. However, few current public datasets limit the potential exploration of deep learning in the application of pavement damage segmentation.…

Computer Vision and Pattern Recognition · Computer Science 2022-08-02 Zheng Tong , Tao Ma , Ju Huyan , Weiguang Zhang

The goal of this paper is to develop and analyze some fully discrete finite element methods for a displacement-pressure model modeling swelling dynamics of polymer gels under mechanical constraints. In the model, the swelling dynamics is…

Numerical Analysis · Mathematics 2009-03-25 Xiaobing Feng , Yinnian He

A new semi-analytical solution to the advection-dispersion-reaction equation for modelling solute transport in layered porous media is derived using the Laplace transform. Our solution approach involves introducing unknown functions…

Numerical Analysis · Mathematics 2020-09-29 Elliot J. Carr

An accurate modeling of reactive flows in fractured porous media is a key ingredient to obtain reliable numerical simulations of several industrial and environmental applications. For some values of the physical parameters we can observe…

Numerical Analysis · Mathematics 2020-11-10 Luca Formaggia , Alessio Fumagalli , Anna Scotti

This paper presents a windowed Green function (WGF) method for the numerical solution of problems of elastic scattering by "locally-rough surfaces" (i.e., local perturbations of a half space), under either Dirichlet or Neumann boundary…

Computational Physics · Physics 2021-02-03 Oscar P. Bruno , Tao Yin