Publicado 6 números por año
ISSN Imprimir: 1543-1649
ISSN En Línea: 1940-4352
Indexed in
ON TWO-SCALE ANALYSIS OF HETEROGENEOUS MATERIALS BY MEANS OF THE MESHLESS FINITE DIFFERENCE METHOD
SINOPSIS
The finite element (FE) method is the commonly applied engineering tool for numerical analysis of heterogeneous materials. The FE solution approach is successfully applied at all analysis levels, including the macro (material at large) and the micro (e.g., representative volume element) ones. However, this paper focuses on an alternative, perhaps more effective approach, based upon the meshless discretization and approximation. The aim of this paper is to present the formulation of the numerical homogenization in terms of the meshless finite difference method, as well as the results of the selected two-dimensional linear elasticity examples. Moreover, several benefits of the proposed approach are highlighted, especially toward analysis of more complex engineering problems.
-
Qu Wenzhen, Gu Yan, Zhang Yaoming, Fan Chia-Ming, Zhang Chuanzeng, A combined scheme of generalized finite difference method and Krylov deferred correction technique for highly accurate solution of transient heat conduction problems, International Journal for Numerical Methods in Engineering, 117, 1, 2019. Crossref
-
Jaworska Irena, Application of the multipoint meshless FDM to chosen demanding problems, 2078, 2019. Crossref
-
Zhao Qinghai, Fan Chia-Ming, Wang Fajie, Qu Wenzhen, Topology optimization of steady-state heat conduction structures using meshless generalized finite difference method, Engineering Analysis with Boundary Elements, 119, 2020. Crossref
-
Korkut Fuat, Mengi Yalcin, Tokdemir Turgut, On the use of complex stretching coordinates in generalized finite difference method with applications in inhomogeneous visco-elasto dynamics, Engineering Analysis with Boundary Elements, 134, 2022. Crossref
-
Jaworska Irena, Generalization of the Multipoint meshless FDM application to the nonlinear analysis, Computers & Mathematics with Applications, 87, 2021. Crossref
-
Oh Miewleng, Yeak Suhoe, A Hybrid Multiscale Finite Cloud Method and Finite Volume Method in Solving High Gradient Problem, International Journal of Computational Methods, 19, 04, 2022. Crossref
-
Jaworska Irena, Multipoint Meshless FD Schemes Applied to Nonlinear and Multiscale Analysis, in Computational Science – ICCS 2022, 13353, 2022. Crossref