Geometrically nonlinear analysis of functionally graded materials based on reproducing kernel particle method

Liang, Zheng; Wei, Gaofeng; Wang, Zhiming

doi:10.1007/s10999-019-09484-8

Cited by 13 publications

(3 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…26,27 The RKPM has modified the kernel function of the traditional smooth particle hydrodynamics (SPH) to satisfy the reconstruction condition, and the RKPM has the advantages of high accuracy. Liu et al 28 used the RKPM to solve geometrically nonlinear problems of functional gradient materials. Sadamoto et al 29 used the reproducing kernel approximation to describe the geometric shapes and deformations of flat shells, curved shells, and folded shells, and conducted meshless analysis of geometric nonlinearity under finite rotation.…”

Section: Introductionmentioning

confidence: 99%

Research on elasticity behavior of Ni-Ti shape memory alloys using the reproducing kernel particle method

Zhang,

Wei,

Liu

2024

The Journal of Strain Analysis for Engineering Design

Self Cite

View full text Add to dashboard Cite

The unique superelastic properties of the Ni-Ti shape memory alloys (SMAs) have been found extensive practical application in many engineering fields, but the Ni-Ti SMAs exhibits elastic behavior in small load, so the elastic behavior of the Ni-Ti SMAs is studied by using meshless method of reproducing kernel particle method (RKPM) in this paper. The displacement boundary conditions are applied by utilizing the penalty function method, and the impact of penalty factor and parameter of influence domain on errors are discussed, and computational stability is analyzed. At last, the correctness of the RKPM in studying the elastic behavior of the Ni-Ti SMAs is evidenced by using three numerical examples.

show abstract

Section: Introductionmentioning

confidence: 99%

Research on elasticity behavior of Ni-Ti shape memory alloys using the reproducing kernel particle method

Zhang,

Wei,

Liu

2024

The Journal of Strain Analysis for Engineering Design

Self Cite

View full text Add to dashboard Cite

show abstract

“…Compared with other meshfree methods, RKPM has advantages as follows 19,20 : (1) RKPM retains the advantages of free Lagrangian or SPH methods; (2) RKPM is more accurate than SPH due to the addition of the correction function; (3) RKPM is more efficient in computer implementation than diffuse element method and EFG. Therefore, RKPM has attracted many researchers to use it to solve many problems in different fields, such as material analysis, [30][31][32] fluid mechanics, 33,34 and structural engineering. [35][36][37] Chen et al 38 and Memar Ardestani et al 39 successfully used the RKPM to effectively analyze the bending problems of flat and ribbed plates.…”

Section: Introductionmentioning

confidence: 99%

Static behavior of ribbed folded plate roof under vertical uniform load—Experimental study and meshfree method analysis

Sun,

Ma,

Zhang

et al. 2023

Structural Design Tall Build

View full text Add to dashboard Cite

SummaryFolded plate roofs are widely used in building roofs due to their light weight and high stiffness. However, traditional folded plate roofs are often limited in application due to insufficient stiffness under the current trend of pursuing larger‐span roofs. Ribbed folded plate roofs can effectively solve this problem because ribs not only increase the stiffness of the roof and reduce stress concentration, but they are also easy to be formed into various shapes to meet different needs for buildings. Therefore, the detailed analysis was carried out on a reinforced concrete ribbed folded plate roof (RCRFR) under the vertical uniform load to investigate its static behavior. The bearing capacity, failure mode, load–displacement relationship, and strain variation were obtained through the test. Additionally, based on the finite element (FE) method, not only a comparison was conducted between RCRFR and reinforced concrete ribless folded plate roof (RCLFR), but the influence of material nonlinearity and geometric nonlinearity on the structure was also investigated. Moreover, the bending characteristics of RCRFR under design load were analyzed based on the reproducing kernel particle method. The experimental results showed that this structure had good mechanical properties within the design load. In the overload stage, the concrete on the underside of the structure was severely damaged. Furthermore, the yielding of the ribbed plate's reinforcing bars caused the increased vertical deformation difference between the ribbed plate and the top chord, and the ribbed plate and the central ridge beam. Eventually, the failure of the anchorage of the ribbed plate's reinforcing bars anchored in the central ridge beam and the top chord led to the loss of structural load‐bearing capacity. The FE analysis results demonstrated that ribs enhance the stiffness of the structure, with material nonlinearity having the primary impact and geometric nonlinearity exerting a secondary effect. The meshfree method analysis was in concordance with the experimental results as well as those of the FE analysis.

show abstract

“…Because of the advantages of simple form and fast calculation speed, the RKPM is one of the meshfree methods which are widely applied and researched [42][43][44]. The RKPM is first proposed based on the SPH and the integral reconstruction theory of functions.…”

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

Geometrically nonlinear analysis of functionally graded materials based on reproducing kernel particle method

Cited by 13 publications

References 42 publications

Research on elasticity behavior of Ni-Ti shape memory alloys using the reproducing kernel particle method

Research on elasticity behavior of Ni-Ti shape memory alloys using the reproducing kernel particle method

Static behavior of ribbed folded plate roof under vertical uniform load—Experimental study and meshfree method analysis

A Novel Meshfree Analysis of Transient Heat Conduction Problems Using RRKPM

Contact Info

Product

Resources

About