Results 31 to 40 of about 16,293,491 (153)
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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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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Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 In this paper, a new numerical method named Barycentric Lagrange interpolation‐based differential quadrature method is implemented to get numerical solution of 1D and 2D coupled nonlinear Schrödinger equations. In the present study, spatial discretization is done with the aid of Barycentric Lagrange interpolation basis function.
Varun Joshi +5 more
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The Numerical Solution of Fractional Black‐Scholes‐Schrodinger Equation Using the RBFs Method
Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020 In this paper, radial basis functions (RBFs) method was used to solve a fractional Black‐Scholes‐Schrodinger equation in an option pricing of financial problems. The RBFs method is applied in discretizing a spatial derivative process. The approximation of time fractional derivative is interpreted in the Caputo’s sense by a simple quadrature formula ...
Naravadee Nualsaard +3 more
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Meshless Solution of Incompressible Flow Over Backward-Facing Step
Civil and Environmental Engineering, 2016 Article presents the use of the meshless method for numerical simulation of incompressible fluid flow. The article presents the implementation of the meshless local Petrov-Galerkin method (MLPG), with Navier-Stokes equation formulated using the local ...
Mužík Juraj
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Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020 Friction stir welding (FSW) is a favorable welding technology for aluminum alloys. The FSW process involves complex heat and mass transfer. Explicit meshless particle methods are currently popular methods for simulating the process, but they require expensive computational cost.
Yihua Xiao, Hecheng Wu, Nunzio Salerno
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Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020 The interpolating boundary element‐free method (IBEFM) is a direct solution method of the meshless boundary integral equation method, which has high efficiency and accuracy. The IBEFM is developed based on the interpolating moving least‐squares (IMLS) method and the boundary integral equation method.
Jufeng Wang +3 more
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Numerical Solution of Sine‐Gordon Equation with the Local Kriging Meshless Method
Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020 This paper develops a local Kriging meshless solution to the nonlinear 2 + 1‐dimensional sine‐Gordon equation. The meshless shape function is constructed by Kriging interpolation method to have Kronecker delta function property for the two‐dimensional field function, which leads to convenient implementation of imposing essential boundary conditions ...
Pengfei Guo +4 more
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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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