Fracture and Fatigue Analyses of Cracked Structures Using the Iterative Method
Geofluids, Volume 2021, Issue 1, 2021., 2021 It is a quite challenging subject to efficiently perform fracture and fatigue analyses for complex structures with cracks in engineering. To precisely and efficiently study crack problems in practical engineering, an iterative method is developed in this study.
Longgang Tian, Ziling Cheng, Feng Xiong
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Advances in Civil Engineering, Volume 2021, Issue 1, 2021., 2021 In this article, a new sinusoidal shear deformation theory was developed for static bending analysis of functionally graded plates resting on elastic foundations. The proposed theory used an undefined integral term to reduce the number of the unknown to four without any shear correction factors.
Pham Minh Phuc +2 more
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Application of moving kriging interpolation based on the meshless local Petrov-Galerkin (MK-MLPG) method for the two-dimensional time-dependent Schrodinger equation [PDF]
Journal of Mahani Mathematical Research, 2018 In this article, an efficient numerical technique for solving the two-dimensional time-dependent Schrodinger equation is presented. At first, we employ the meshlesslocal Petrov-Galerkin (MLPG) method based on a local weak formulation to ...
Esmail Hesameddini, Ali Habibirad
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Modeling elastic wave propagation in fluid-filled boreholes drilled in nonhomogeneous media: BEM – MLPG versus BEM-FEM coupling [PDF]
, 2017 The efficiency of two coupling formulations, the boundary element method (BEM)-meshless local Petrov–Galerkin (MLPG) versus the BEM-finite element method (FEM), used to simulate the elastic wave propagation in fluid-filled boreholes generated by a blast ...
Antonio, J. +6 more
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Numerical Investigation on Improving the Computational Efficiency of the Material Point Method
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 Based on the basic theory of the material point method (MPM), the factors affecting the computational efficiency are analyzed and discussed, and the problem of improving calculation efficiency is studied. This paper introduces a mirror reflection boundary condition to the MPM to solve axisymmetric problems; to improve the computational efficiency of ...
Jingxin Ma +5 more
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Dynamic Analysis of Cylindrically Layered Structures Reinforced by Carbon Nanotube Using MLPG Method [PDF]
Civil Engineering Infrastructures Journal, 2015 This paper deals with the dynamic analysis of stress field in cylindrically layeredstructures reinforced by carbon nanotube (CLSRCN) subjected to mechanical shock loading.Application of meshless local integral equations based on meshless local Petrov ...
Soleiman Ghouhestani +2 more
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The meshfree localized Petrov-Galerkin approach in slope stability analysis [PDF]
, 2019 The article focuses on the use of the meshfree numerical method in the field of slope stability computations. There are many meshfree implementations of numerical methods.
Bulko, Roman +2 more
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Characteristic-Based Split Meshless Solution for Couette Flow
Civil and Environmental Engineering, 2014 The paper deals with use of the meshless method for incompressible fluid flow analysis. There are many formulations of the meshless methods. The article presents the Meshless Local Petrov-Galerkin method (MLPG) - local weak formulation of the Navier ...
Mužík Juraj
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Meshless Modelling of Laminate Mindlin Plates under Dynamic Loads
Communications, 2012 Collocation method and Galerkin method have been dominant in the existing meshless methods. A meshless local Petrov-Galerkin (MLPG) method is applied to solve laminate plate problems described by the Reissner-Mindlin theory for transient dynamic loads ...
Milan Zmindak, Daniel Riecky
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An advanced meshless method for time fractional diffusion equation [PDF]
, 2011 Recently, because of the new developments in sustainable engineering and renewable energy, which are usually governed by a series of fractional partial differential equations (FPDEs), the numerical modelling and simulation for fractional calculus are ...
Gu Y. T. +7 more
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