Results 41 to 50 of about 166 (159)
International Journal of Mechanical System Dynamics, Volume 5, Issue 1, Page 40-66, March 2025.ABSTRACT This research article introduces a high‐order finite element model based on the first‐order shear deformation theory to analyze the hygrothermal static responses of nanoscale, multidirectional nanofunctionally graded piezoelectric (NFGP) plates resting on variable elastic foundations. The study considers the material properties of these plates,
Pawan Kumar, Suraj Prakash Harsha
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Slovak Journal of Civil Engineering, 2014 A numerical analysis based on the meshless local Petrov- Galerkin (MLPG) method is proposed for a functionally graded material FGM (FGMfunctionally graded material) beam.
Sátor Ladislav +2 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.This paper introduces a coupled physics‐informed neural network (C–PINN) framework for simulating electron–lattice thermal conduction. The framework uses an additive Δ‐decomposition to couple the electron temperature Te and lattice temperature Tl, with a learnable correction term Δ(t, x) capturing spatial–temporal deviations from thermal equilibrium ...
Zhihong Che +5 more
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Meshless Local Petrov-Galerkin Method for Plane Piezoelectricity
Computers, Materials & Continua, 2006 Piezoelectric materials have wide range engineering applications in smart structures and devices. They have usually anisotropic properties. Except this complication electric and mechanical fields are coupled each other and the governing equations are much more complex than that in the classical elasticity. Thus, efficient computational methods to solve
J. Sladek +4 more
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Simple Test Functions in Meshless Local Petrov-Galerkin Methods [PDF]
57th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, 2016 Two meshless local Petrov-Galerkin (MLPG) methods based on two different trial functions but that use a simple linear test function were developed for beam and column problems. These methods used generalized moving least squares (GMLS) and radial basis (RB) interpolation functions as trial functions.
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International Journal of RF and Microwave Computer-Aided Engineering, Volume 2025, Issue 1, 2025.The design and analysis of nanoelectromechanical systems (NEMSs) provide significant challenges due to the dominance of surface forces, quantum‐scale effects, and complex material properties, where classical electrostatics and continuum mechanics become inadequate.
N. M. Mary Sindhuja +4 more
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Node-to-Node Realization of Meshless Local Petrov Galerkin (MLPG) Fully in GPU
IEEE Access, 2019 This paper presents an end-to-end massively parallelized procedure for the solution of boundary value problems on Graphics Processing Units (GPU). The proposal is an integrated strategy that not only entails the calculation of nodal contributions, and ...
Lucas Pantuza Amorim +3 more
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Physics‐informed neural operator solver and super‐resolution for solid mechanics
Computer-Aided Civil and Infrastructure Engineering, Volume 39, Issue 22, Page 3435-3451, 15 November 2024.Abstract Physics‐Informed Neural Networks (PINNs) have solved numerous mechanics problems by training to minimize the loss functions of governing partial differential equations (PDEs). Despite successful development of PINNs in various systems, computational efficiency and fidelity prediction have remained profound challenges.
Chawit Kaewnuratchadasorn +2 more
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Solving heat conduction problems by the Direct Meshless Local Petrov-Galerkin (DMLPG) method [PDF]
Numerical Algorithms, 2013 As an improvement of the Meshless Local Petrov-Galerkin (MLPG), the Direct Meshless Local Petrov-Galerkin (DMLPG) method is applied here to the numerical solution of transient heat conduction problem. The new technique is based on direct recoveries of test functionals (local weak forms) from values at nodes without any detour via classical moving least
Davoud Mirzaei, Robert Schaback
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Fatigue &Fracture of Engineering Materials &Structures, Volume 47, Issue 6, Page 1994-2009, June 2024.Abstract The element‐free Galerkin (EFG) meshfree method is employed in this research to compute strain fields based on discrete displacement data obtained from digital image correlation (DIC). To validate the method's accuracy, both simulated images with highly heterogeneous deformations and real tests conducted on notched specimens with known ...
Giancarlo L. Gómez Gonzales +3 more
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