Free vibrations and buckling analysis of laminated plates by oscillatory radial basis functions
In this paper the free vibrations and buckling analysis of laminated plates is performed using a global meshless method. A refined version of Kant’s theorie which accounts for transverse normal stress and through-the-thickness deformation is used.
Neves A. M. A., Ferreira A. J. M.
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Meshless Error Recovery Parametric Investigation in Incompressible Elastic Finite Element Analysis
The meshless displacement error-recovery parametric investigation in finite element method-based incompressible elastic analysis is presented in this study.
Essam Althaqafi +2 more
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Free vibration analysis of rectangular plates with variable thickness using a meshless method
This paper presents a comprehensive study on the free vibration analysis of rectangular plates with variable thickness, utilizing three-dimensional elasticity theory and a meshless method.
Reza Pilafkan, Peter D. Folkow
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For simulating CoalBed Methane (CBM) hydraulic fracturing using 3-D meshless method, this paper analyzed the hydraulic fracturing mechanism and cracking form for coal rock and established the geometric and mathematical models of hydraulic fracturing ...
Wen Guojun +4 more
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A Novel Third Order Numerical Method for Solving Volterra Integro-Differential Equations
In this paper we introduce a numerical method for solving nonlinear Volterra integro-differential equations. In the first step, we apply implicit trapezium rule to discretize the integral in given equation.
Bhalekar, Sachin, Patade, Jayvant
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Geometrically Nonlinear Analysis for Elastic Beam Using Point Interpolation Meshless Method
The intrinsic beam theory, as one of the exact beam formulas, is quite suitable to describe large deformation of the flexible curved beam and has been widely used in many engineering applications. Owing to the advantages of the intrinsic beam theory, the
Cheng He, Xinhai Wu, Tao Wang, Huan He
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The utilization of time-fractional PDEs in diverse fields within science and technology has attracted significant interest from researchers. This paper presents a relatively new numerical approach aimed at solving two-term time-fractional PDE models in ...
Imtiaz Ahmad +4 more
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Meshless Local Petrov-Galerkin (MLPG) Method with Orthogonal Polynomials for Euler-Bernoulli Beam Problems [PDF]
In this paper, the feasibility of orthogonal polynomials in the meshless local Petrov Galerkin method (MLPG) method is studied. The orthogonal polynomials, Chebyshev and Legendre polynomials, are used in this MLPG method as trial functions.
Raju, Ivatury S.
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Boundary layer challenges: A comparative analysis of two efficient meshless approaches
This article presents two meshless computational techniques: the radial basis function (RBF) method and the polynomial method, for numerically analyzing boundary layer problems, with a specific focus on singularly perturbed two-point boundary value ...
Abdulrahman Obaid Alshammari +2 more
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Solutions of a three-dimensional multi-term fractional anomalous solute transport model for contamination in groundwater. [PDF]
Ahmad I +4 more
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