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Keywords: fragile points method (FPM)
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Proceedings Papers

A New Meshless “Fragile Points Method (FPM)” Based on a Galerkin Weak-Form for 2D Flexoelectric Analysis

Yue Guan, Leiting Dong, Satya N. Atluri
Proc. ASME. IMECE2020, Volume 12: Mechanics of Solids, Structures, and Fluids, V012T12A067, November 16–19, 2020
Paper No: IMECE2020-24527
DOI: https://doi.org/10.1115/IMECE2020-24527
...Abstract Abstract A meshless Fragile Points Method (FPM) is presented for analyzing 2D flexoelectric problems. Local, simple, polynomial and discontinuous trial and test functions are generated with the help of a local meshless differential quadrature approximation of the first three...
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Topics: Anisotropy, Approximation, Elasticity, Finite element methods, Flux (Metallurgy), Meshfree methods, Piezoelectricity, Polynomials
Proceedings Papers

A New and Efficient Meshless Computational Approach for Transient Heat Conduction in Anisotropic Nonhomogeneous Media: Fragile Points Method and Local Variational Iteration Scheme

Yue Guan, Rade Grujicic, Xuechuan Wang, Leiting Dong, Satya N. Atluri
Proc. ASME. IMECE2020, Volume 11: Heat Transfer and Thermal Engineering, V011T11A037, November 16–19, 2020
Paper No: IMECE2020-24516
DOI: https://doi.org/10.1115/IMECE2020-24516
... computational approach is presented for analyzing transient heat conduction problems. The Fragile Points Method (FPM) utilized for spatial discretization can, on one hand, like many other meshless methods, be free of the re- quirement of high-quality meshing, and on the other hand, by- pass the difficulty...
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Topics: Anisotropy, Transient heat transfer