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   Articles with "integral method" as a keyword



Evaluation of stress intensity factors under thermal effect employing domain integral method and ordinary state based peridynamic theory

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recommendations! Published in 2021 at "Continuum Mechanics and Thermodynamics"

DOI: 10.1007/s00161-021-01033-z

Abstract: In this article, several thermoelastic benchmark cases are studied within the framework of ordinary state based peridynamic theory (OSPD). By using OSPD, the limitations of geometrical discontinuity in fracture analysis can be overcome. Meanwhile, double… read more here.

Keywords: based peridynamic; state based; ordinary state; peridynamic theory ... See more keywords

Efficient cell-centered nodal integral method for multi-dimensional Burgers’ equations

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recommendations! Published in 2024 at "Engineering with Computers"

DOI: 10.1007/s00366-025-02177-1

Abstract: An efficient coarse-mesh nodal integral method (NIM), based on cell-centered variables and termed the cell-centered NIM (CCNIM), is developed and applied to solve multi-dimensional, time-dependent, nonlinear Burgers’ equations, extending the applicability of CCNIM to nonlinear… read more here.

Keywords: integral method; cell centered; cell; nodal integral ... See more keywords

Simulation of the Growth Kinetics of γ′-Nitride Layers on Armco Iron by the Integral Method

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recommendations! Published in 2020 at "Metal Science and Heat Treatment"

DOI: 10.1007/s11041-020-00597-y

Abstract: The integral method is used to simulate the kinetics of growth of γ′-phase layers during nitriding of Armco iron in a microwave discharge chamber. Solution of the system of differential algebraic equations is used to… read more here.

Keywords: growth kinetics; simulation growth; integral method; armco iron ... See more keywords

Fast boundary-domain integral method for heat transfer simulations

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recommendations! Published in 2019 at "Engineering Analysis with Boundary Elements"

DOI: 10.1016/j.enganabound.2018.12.003

Abstract: Abstract In this paper, we present a method to decrease the computational cost of the Boundary-Domain Integral Method. We focus on the solution of the velocity–vorticity formulation of the Navier–Stokes equation for incompressible 3D fluid… read more here.

Keywords: heat; method; boundary domain; integral method ... See more keywords

Effect of large-scale domain switching on intensity factors for a crack in 3D ferroelectric single crystals using the I-integral method

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recommendations! Published in 2019 at "International Journal of Solids and Structures"

DOI: 10.1016/j.ijsolstr.2018.11.015

Abstract: Abstract Due to their intrinsic brittleness, ferroelectric materials are prone to fracture under extreme electromechanical operational loads. The fracture of ferroelectric materials is usually accompanied by large-scale domain switching. This paper develops the interaction integral… read more here.

Keywords: scale domain; intensity; integral method; large scale ... See more keywords
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UGUCA: A spectral-boundary-integral method for modeling fracture and friction

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recommendations! Published in 2021 at "SoftwareX"

DOI: 10.1016/j.softx.2021.100785

Abstract: Abstract Uguca is a C++ parallel implementation of the spectral-boundary-integral method to model the dynamic failure of interfaces between two elastic half-spaces. Due to its computational efficiency, uguca is suitable for fundamental research on dynamic… read more here.

Keywords: spectral boundary; uguca spectral; boundary integral; integral method ... See more keywords

A new approach of the interaction integral method with correction terms for cracks in three-dimensional functionally graded materials using the tetrahedral finite element

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recommendations! Published in 2021 at "Theoretical and Applied Fracture Mechanics"

DOI: 10.1016/j.tafmec.2021.103065

Abstract: Abstract In this paper, a new approach for evaluating the Stress Intensity Factors (SIFs) using the interaction integral method with correction terms for cracks in three-dimensional Functionally Graded Material (FGM) is presented. The present interaction… read more here.

Keywords: tetrahedral finite; finite element; interaction; integral method ... See more keywords

First integral method for non-linear differential equations with conformable derivative

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recommendations! Published in 2018 at "Mathematical Modelling of Natural Phenomena"

DOI: 10.1051/mmnp/2018012

Abstract: In this paper, we present an analysis based on the first integral method in order to construct exact solutions of the nonlinear fractional partial differential equations (FPDE) described by beta-derivative. A general scheme to find… read more here.

Keywords: method non; non linear; first integral; differential equations ... See more keywords

Generalized Integral Method for Solving the Neutron Transport Equation with the Hybridized Discontinuous Galerkin Method

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recommendations! Published in 2024 at "Nuclear Science and Engineering"

DOI: 10.1080/00295639.2024.2394732

Abstract: Abstract Accurate modeling of the neutron transport equation (NTE) with anisotropic scattering is crucial to the understanding of neutron interactions within various mediums. The primary challenges in this domain are (1) the considerable computational resources… read more here.

Keywords: integral method; method; hybridized discontinuous; generalized integral ... See more keywords

J-Φ coupled model based on integral methods and magnetic networks for superconductor

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recommendations! Published in 2025 at "Superconductor Science and Technology"

DOI: 10.1088/1361-6668/adcd04

Abstract: Current numerical simulations of superconducting tapes in electrical applications predominantly utilize the H and T-A formulations within the COMSOL platform. In comparison, the integral method (also known as the J model) can enhance computational speed… read more here.

Keywords: coupled model; integral method; superconductor; model based ... See more keywords

A Spectral Integral Method for Nonsmooth PEC Bodies of Revolution

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recommendations! Published in 2024 at "IEEE Antennas and Wireless Propagation Letters"

DOI: 10.1109/lawp.2024.3479881

Abstract: To solve the electromagnetic scattering problems for nonsmooth bodies of revolution (BoRs), a new spectral integral method (BoR-SIM) is proposed. It is applicable to both smooth and nonsmooth objects. In the generatrix direction, the local… read more here.

Keywords: integral method; method; basis functions; spectral integral ... See more keywords