The elastoplastic analysis of functionally graded materials using a meshfree RRKPM

Liu, Zheng; Wei, Gaofeng; Qin, Shanshan; Wang, Zhiming

doi:10.1016/j.amc.2021.126651

Cited by 11 publications

(4 citation statements)

References 46 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Meshless methods have been applied in some elastoplastic simulations of structures. Zhou et al [17] used a centroid-enriched edge-based/face-based smoothed RPIM (CE-ES-RPIM and CE-FS-RPIM) to analyze elastoplastic benchmark problems in solid mechanics; the Meshless Local Petrov-Galerkin method was applied in the thermo-elastoplastic analysis of thick functionally graded (FG) plates by Vaghefi et al [18]; the same author studied, for the first time, three-dimensional (3D) thermo-elastoplastic bending analysis of functionally graded sandwich plates subjected to combined thermal and mechanical loads, using a local radial point interpolation method (LRPIM) [19]; the RRKPM was used in the elastoplastic analysis of functionally graded materials by Liu et al [20]; the same meshless method was applied in the elastoplastic analyses of several solid mechanics problems by Gao et al [21]; a novel EFGM based on the improved complex variable moving least-squares (ICVMLS) approximation (called improved complex variable element-free Galerkin (ICVEFG)), was applied to two-dimensional large deformation elastoplasticity problems [22]; the EFGM was also used in finite deformation elasto-plastic modeling [23].…”

Section: Introductionmentioning

confidence: 99%

Elastoplastic Analysis of Frame Structures Using Radial Point Interpolation Meshless Methods

Belinha,

Aires,

Rodrigues

2023

Applied Sciences

View full text Add to dashboard Cite

The need to design structures and structural elements that are more efficient in terms of performance is a key aspect of engineering. For a given material to be used at its maximum capacity, considering non-linear characteristics is mandatory. The non-linear regime is a subject of extreme interest for this reason and is an area with intense research activity. In this work, advanced discretization techniques (i.e., meshless methods) are applied in the elastoplastic analysis of 2D and 3D structural elements. The literature shows that meshless methods are capable of producing more accurate and smoother strain and stress fields, which are the variable fields required in the non-linear models describing elastoplasticity. Thus, in this study, the Radial Point Interpolation Method (RPIM) and the Natural Neighbor Radial Point Interpolation Method (NNRPIM) are combined with a non-linear iterative algorithm, fully developed by the authors, with the objective of analyzing for the first time the elastoplastic behavior of a two-bay asymmetric frame and bowstring bridge considering 2D and 3D analysis. The accuracy and robustness of the RPIM and the NNRPIM are shown in the end, comparing the obtained results with FEM solutions and the available literature.

show abstract

Section: Introductionmentioning

confidence: 99%

Elastoplastic Analysis of Frame Structures Using Radial Point Interpolation Meshless Methods

Belinha,

Aires,

Rodrigues

2023

Applied Sciences

View full text Add to dashboard Cite

show abstract

“…Saeedi et al [ 11 ] investigated the thermo-elastoplastic response of a thick FG cylindrical shell under internal pressure and temperature gradient by using the successive approximation method and differential quadrature method. Liu et al [ 12 ] used a mesh-free reproducing kernel particle and penalty methods to study the elastoplastic behavior of the 2D structure with FGM composition.…”

Section: Introductionmentioning

confidence: 99%

Elastoplastic Indentation Response of Sigmoid/Power Functionally Graded Ceramics Structures

et al. 2022

View full text Add to dashboard Cite

Due to the applicability of new advanced functionally graded materials (FGMs) in numerous tribological systems, this manuscript aims to present computational and empirical indentation models to investigate the elastoplastic response of FG substrate under an indention process with spherical rigid punch. The spatial variation of the ceramic volume fraction through the specimen thickness is portrayed using the power law and sigmoid functions. The effective properties of two-constituent FGM are evaluated by employing a modified Tamura–Tomota–Ozawa (TTO) model. Bilinear hardening behavior is considered in the analysis. The finite element procedure is developed to predict the contact pressure, horizontal displacement, vertical deformation, and permanent deformation of FG structure under the rigid cylindrical indentation. The empirical forms for permanent deformation were evaluated and assigned. Model validation with experimental works was considered. The convergence of the mesh and solution procedure was checked. Numerical studies were performed to illustrate the influence of gradation function, gradation index, and indentation parameters on the contact pressure, von Mises stresses, horizontal/vertical displacements, and permanent plastic deformation. The present model can help engineers and designers in the selection of an optimum gradation function and gradation index based on their applications.

show abstract

“…However, due to the limitation of the correlation conditions between elements in the FEM, it is difficult to deal with the discontinuous problem in practical engineering problems, such as the formation of cracks and their mechanical behavior, the discontinuity in jointed rock mass and the crack propagation with moving boundary [6,7]. In order to improve the restriction of correlation conditions between elements, many novel methods have been proposed in recent years, such as meshfree (or meshless, element-free) method [8,9], numerical manifold method (NMM) [10][11][12], boundary element method (BEM) [13,14], and numerical method based on least square method [15][16][17], etc.…”

Section: Introductionmentioning

confidence: 99%

A Novel Meshfree Analysis of Transient Heat Conduction Problems Using RRKPM

Gao¹,

Wei²

2022

Computer Modeling in Engineering &Amp; Sciences

Self Cite

View full text Add to dashboard Cite

By introducing the radial basis functions (RBFs) into the reproducing kernel particle method (RKPM), the calculating accuracy and stability of the RKPM can be improved, and a novel meshfree method of the radial basis RKPM (meshfree RRKPM) is proposed. Meanwhile, the meshfree RRKPM is applied to transient heat conduction problems (THCP), and the corresponding equations of the meshfree RRKPM for the THCP are derived. The twopoint time difference scheme is selected to discretize the time of the THCP. Finally, the numerical results illustrate the effectiveness of the meshfree RRKPM for the THCP.

show abstract

The elastoplastic analysis of functionally graded materials using a meshfree RRKPM

Cited by 11 publications

References 46 publications

Elastoplastic Analysis of Frame Structures Using Radial Point Interpolation Meshless Methods

Elastoplastic Analysis of Frame Structures Using Radial Point Interpolation Meshless Methods

Elastoplastic Indentation Response of Sigmoid/Power Functionally Graded Ceramics Structures

A Novel Meshfree Analysis of Transient Heat Conduction Problems Using RRKPM

Contact Info

Product

Resources

About