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Items from 1 to 20 out of 281 results

article

Mapped material point method for large deformation problems with sharp gradients and its application to soil‐structure interactions

Yidong Zhao, Minchen Li, Chenfanfu Jiang, Jinhyun Choo

International Journal for Numerical and Analytical Methods in Geomechanics > 48 > 9 > 2334 - 2355

The material point method (MPM) is often applied to large deformation problems that involve sharp gradients in the solution field. Representative examples in geomechanics are interactions between soils and various “structures” such as foundations, penetrometers, and machines, where the displacement fields exhibit sharp gradients around the soil‐structure interfaces. Such sharp gradients should be...

article

Unified digital image correlation under meshfree framework

Bin Chen, Sam Coppieters

Strain > 60 > 1 > n/a - n/a

The implementation of digital image correlation (DIC) involves several different problems, such as image prefiltering, image intensity gradient calculation, image intensity interpolation at subpixel positions, shape function construction and strain calculation. This paper offers a unified insight into the nature of several key problems in DIC technique. We treat all the problems involved in the former...

article

A novel local Hermite radial basis function‐based differential quadrature method for solving two‐dimensional variable‐order time fractional advection–diffusion equation with Neumann boundary conditions

Jianming Liu, Xin Kai Li, Xiuling Hu

Numerical Methods for Partial Differential Equations > 39 > 4 > 2998 - 3019

A novel Hermite radial basis function‐based differential quadrature (H‐RBF‐DQ) method is presented in this paper based on 2D variable order time fractional advection–diffusion equations with Neumann boundary conditions. The proposed method is designed to treat accurately for derivative boundary conditions, which considerably improve the approximation results and extend the range of applicability for...

article

Enhanced physics‐informed neural networks for hyperelasticity

Diab W. Abueidda, Seid Koric, Erman Guleryuz, Nahil A. Sobh

International Journal for Numerical Methods in Engineering > 124 > 7 > 1585 - 1601

Physics‐informed neural networks have gained growing interest. Specifically, they are used to solve partial differential equations governing several physical phenomena. However, physics‐informed neural network models suffer from several issues and can fail to provide accurate solutions in many scenarios. We discuss a few of these challenges and the techniques, such as the use of Fourier transform,...

article

Cutting force prediction of Ti6Al4V using a machine learning model of SPH orthogonal cutting process simulations

Hagen Klippel, Eduardo Gonzalez Sanchez, Margolis Isabel, Matthias Röthlin, more

Journal of Machine Engineering > 2022 > Vol. 22, No. 1 > 111--123

The prediction of machining processes is a challenging task and usually requires a large experimental basis. These experiments are time-consuming and require manufacturing and testing of different tool geometries at various process conditions to find optimum machining settings. In this paper, a machine learning model of the orthogonal cutting process of Ti6Al4V is proposed to predict the cutting and...

article

Simulation of non‐Newtonian flows in a partially filled twin‐screw extruder by smoothed particle hydrodynamics

Tianwen Dong, Jianchun Wu

Polymer Engineering & Science > 62 > 3 > 802 - 814

This study considered numerical applications of smoothed particle hydrodynamics (SPH) to non‐Newtonian flow in filled or partially filled conveying elements of twin‐screw extruders (TSEs). The algorithms were validated by using a plane Poiseuille flow. Two geometrical configurations with different gap were investigated. A large sound speed was used to prevent particles penetrating the wall boundary...

article

Meshless physics‐informed deep learning method for three‐dimensional solid mechanics

Diab W. Abueidda, Qiyue Lu, Seid Koric

International Journal for Numerical Methods in Engineering > 122 > 23 > 7182 - 7201

Deep learning (DL) and the collocation method are merged and used to solve partial differential equations (PDEs) describing structures' deformation. We have considered different types of materials: linear elasticity, hyperelasticity (neo‐Hookean) with large deformation, and von Mises plasticity with isotropic and kinematic hardening. The performance of this deep collocation method (DCM) depends on...

article

On approximation theory of nonlocal differential operators

Haicheng Yu, Shaofan Li

International Journal for Numerical Methods in Engineering > 122 > 23 > 6984 - 7012

Recently, several types of nonlocal discrete differential operators have emerged either from meshfree particle methods or from nonlocal continuum mechanics, such as peridynamics. In this article, we discuss the mathematical formulation as well as construction of the nonlocal discrete differential operators. Based on a least‐square minimization procedure and the associated Moore–Penrose inverse, we...

article

Dynamic response and optimization of functionally graded porous nanocomposite cylinders using a meshfree method

Alireza Sayyidmousavi, Mehrdad Foroutan, Zouheir Fawaz

Polymer Composites > 42 > 9 > 4227 - 4238

A new class of advanced ultralight composite materials has recently emerged through the use porous polymer matrix reinforced by carbon nanotubes. In this article, the dynamic response of functionally graded porous polymeric cylinders, reinforced by randomly oriented single‐walled carbon nanotubes, using a meshfree method is studied. Three different porosity distribution patterns are investigated:...

article

Convergence analysis of reproducing kernel particle method to elliptic eigenvalue problem

Hsin‐Yun Hu, Jiun‐Shyan Chen

Numerical Methods for Partial Differential Equations > 37 > 3 > 2647 - 2667

In this work we aim to provide a fundamental theory of the reproducing kernel particle method for solving elliptic eigenvalue problems. We concentrate on the convergence analysis of eigenvalues and eigenfunctions, as well as the optimal estimations which are shown to be related to the reproducing degree, support size, and overlapping number in the reproducing kernel approximation. The theoretical...

article

An inverse procedure for identification of loads applied to a fractured component using a meshfree method

Farshad Liaghat, Amir Khosravifard, Mohammad Rahim Hematiyan, Timon Rabczuk

International Journal for Numerical Methods in Engineering > 122 > 7 > 1687 - 1705

An efficient iterative inverse procedure is proposed for the identification of the distribution of loads that has led to a specific crack propagation path in a fractured component. This procedure determines the load applied to a part of the boundary based on the captured crack propagation path. The aim of this work, which is the first time to be presented, is important from the perspective of failure...

article

Text-mining-based approach for conductingliterature review of selected meshfree methods

S. Sindhusuta, Sheng-Wei Chi, Sybil Derrible

Computer Assisted Methods in Engineering and Science > 2021 > Vol. 28, no. 4 > 265--290

The goal of this study is to review the literature in the field ofmeshfree methodsusing textmining. For this study, the abstracts of around 17330 relevant articles published from 1990to 2020 were collected from Scopus. Text mining techniques such as the latent Dirichletallocation (LDA), along with the calculation of term frequencies and co-occurrence coefficients were used to analyze the text. The...

article

The method of approximate particular solutions to simulate an anomalous mobile‐immobile transport process

Hadi Roohani Ghehsareh, Ali Zaghian, Ahmad Majlesi

Mathematical Methods in the Applied Sciences > 43 > 6 > 3637 - 3649

In the current work, a generalized mathematical model based on the Coimbra time fractional derivative of variable order, which describes an anomalous mobile‐immobile transport process in complex systems is investigated numerically. A robust numerical technique based on the meshfree strong form method combined with an efficient time‐stepping scheme is performed to compute the approximate solution of...

article

A 3D Lagrangian gradient smoothing method framework with an adaptable gradient smoothing domain‐constructing algorithm for simulating large deformation free surface flows

Zirui Mao, G. R. Liu

International Journal for Numerical Methods in Engineering > 121 > 6 > 1268 - 1296

A novel smoothing particle hydrodynamics (SPH)‐like Lagrangian meshfree method, named as Lagrangian gradient smoothing method (L‐GSM), has been proposed to avoid the “tensile instability” issue in SPH simulation by replacing the SPH particle‐summation gradient approximation technique with a local grid‐based GSM gradient smoothing operator. The L‐GSM model has been proven effective and efficient when...

article

Modeling of transport of first-order reaction networks in porous media using meshfree radial point collocation method

Aatish Anshuman, T. I. Eldho

Computational Geosciences > 2019 > 23 > 6 > 1369-1385

First-order reaction networks are often encountered in groundwater pollution problems. The members of the network transform/degrade from one species to another. In this paper a strong form meshfree numerical method named radial point collocation method (RPCM) is introduced to model such reactions. In the proposed method, the entire domain is decomposed into a number of overlapping local support domains...

article

Numerically obtained vortices in granular media

Dimitrios Kolymbas, Iman Bathaeian

International Journal for Numerical and Analytical Methods in Geomechanics > 43 > 16 > 2512 - 2524

With our meshfree numerical code SPARC (Soft PARticle Code), which is based on strong solutions of the equations of equilibrium, we were able to derive vortex patterns ("turbulence") in deformations hitherto believed to be homogeneous. The formation of such vortices demonstrates the nonuniqueness of the corresponding boundary value problem. We present some evidence that such vortices can...

article

A meshfree method for the BGK model for rarefied gas dynamics

Sudarshan Tiwari, Axel Klar, Giovanni Russo

International Journal of Advances in Engineering Sciences and Applied... > 2019 > 11 > 3 > 187-197

In this paper, we have applied semi-Lagrangian schemes with meshfree interpolation, based on a moving least squares method, to solve the BGK model for rarefied gas dynamics. Sod’s shock tube problems are presented for a large range of mean free paths in one-dimensional physical space and three-dimensional velocity space. In order to validate the solutions obtained from the meshfree method, we have...

article

A kernel-based technique to solve three-dimensional linear Fredholm integral equations of the second kind over general domains

Hamid Esmaeili, Davoud Moazami

Computational and Applied Mathematics > 2019 > 38 > 4 > 1-26

In this article, we study a kernel-based method to solve three-dimensional linear Fredholm integral equations of the second kind over general domains. The radial kernels are utilized as a basis in the discrete collocation method to reduce the solution of linear integral equations to that of a linear system of algebraic equations. Integrals appeared in the scheme are approximately computed by the Gauss–Legendre...

article

An adaptive isogeometric analysis meshfree collocation method for elasticity and frictional contact problems

Nhon Nguyen‐Thanh, Weidong Li, Jiazhao Huang, Narasimalu Srikanth, more

International Journal for Numerical Methods in Engineering > 120 > 2 > 209 - 230

A collocation method has been recently developed as a powerful alternative to Galerkin's method in the context of isogeometric analysis, characterized by significantly reduced computational cost, but still guaranteeing higher‐order convergence rates. In this work, we propose a novel adaptive isogeometric analysis meshfree collocation (IGAM‐C) for the two‐dimensional (2D) elasticity and frictional...

article

Fully coupled elastoplastic hydro‐mechanical analysis of unsaturated porous media using a meshfree method

Omid Ghaffaripour, Golnaz A. Esgandani, Arman Khoshghalb, Babak Shahbodaghkhan

International Journal for Numerical and Analytical Methods in Geomechanics > 43 > 11 > 1919 - 1955

This paper presents the first application of an advanced meshfree method, ie, the edge‐based smoothed point interpolation method (ESPIM), in simulation of the coupled hydro‐mechanical behaviour of unsaturated porous media. In the proposed technique, the problem domain is spatially discretised using a triangular background mesh, and the polynomial point interpolation method combined with a simple node...

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FRACTURE MECHANICS (5)
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MESHLESS METHOD (5)
RADIAL BASIS FUNCTION (RBF) (5)
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SPH (5)
STABILIZED CONFORMING NODAL INTEGRATION (5)
ADAPTIVE ANALYSIS (4)
APPROXIMATION THEORY (4)
DISTANCE FIELDS (4)
ELASTO-PLASTICITY (4)
ELEMENT FREE GALERKIN METHOD (4)
FLUID–STRUCTURE INTERACTION (4)
HERMITE REPRODUCING KERNEL APPROXIMATION (4)
LARGE DEFORMATION (4)
METHOD OF FINITE SPHERES (4)
METHOD OF FUNDAMENTAL SOLUTIONS (4)
NATURAL NEIGHBOURS (4)
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PARTITION OF UNITY (4)
PERIDYNAMICS (4)
POINT COLLOCATION (4)
POINT COLLOCATION METHOD (4)
POINT INTERPOLATION METHOD (4)
RADIAL POINT INTERPOLATION METHOD (4)
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EDGE-BASED SMOOTHED FINITE ELEMENT METHOD (ES-FEM) (3)
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Search results

Mapped material point method for large deformation problems with sharp gradients and its application to soil‐structure interactions

Unified digital image correlation under meshfree framework

A novel local Hermite radial basis function‐based differential quadrature method for solving two‐dimensional variable‐order time fractional advection–diffusion equation with Neumann boundary conditions

Enhanced physics‐informed neural networks for hyperelasticity

Cutting force prediction of Ti6Al4V using a machine learning model of SPH orthogonal cutting process simulations

Simulation of non‐Newtonian flows in a partially filled twin‐screw extruder by smoothed particle hydrodynamics

Meshless physics‐informed deep learning method for three‐dimensional solid mechanics

On approximation theory of nonlocal differential operators

Dynamic response and optimization of functionally graded porous nanocomposite cylinders using a meshfree method

Convergence analysis of reproducing kernel particle method to elliptic eigenvalue problem

An inverse procedure for identification of loads applied to a fractured component using a meshfree method

Text-mining-based approach for conductingliterature review of selected meshfree methods

The method of approximate particular solutions to simulate an anomalous mobile‐immobile transport process

A 3D Lagrangian gradient smoothing method framework with an adaptable gradient smoothing domain‐constructing algorithm for simulating large deformation free surface flows

Modeling of transport of first-order reaction networks in porous media using meshfree radial point collocation method

Numerically obtained vortices in granular media

A meshfree method for the BGK model for rarefied gas dynamics

A kernel-based technique to solve three-dimensional linear Fredholm integral equations of the second kind over general domains

An adaptive isogeometric analysis meshfree collocation method for elasticity and frictional contact problems

Fully coupled elastoplastic hydro‐mechanical analysis of unsaturated porous media using a meshfree method

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