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

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STRUCTURAL DESIGN OF TALL AND SPECIAL BUILDINGS 2024年第4期33卷 e2079-e2079页

作者： Sun, Renzhong Ma, Kejian Zhang, Huagang Yu, Fang Fang, Qiang Guizhou Univ Res Ctr Space Struct Guiyang Peoples R China Guizhou Univ Coll Civil Engn Guiyang Peoples R China Guizhou Prov Key Lab Struct Engn Guiyang Peoples R China Guizhou Prov Key Lab Struct Engn Guiyang 550025 Peoples R China

Folded 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 mes

关键词： deflection analysis finite element reinforced concrete reproducing kernel particle method ribbed folded plate roof strain analysis

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Elastodynamic Analysis of Functionally Graded Beams and Plates Based on Meshless RKPM

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INTERNATIONAL JOURNAL OF APPLIED MECHANICS 2021年第4期13卷

作者： Qin, Shaopeng Wei, Gaofeng Liu, Zheng Shen, Xuehui Qilu Univ Technol Sch Mech & Automot Engn Shandong Acad Sci Jinan 250353 Shandong Peoples R China Shandong Inst Mech Design & Res Jinan Peoples R China

In this paper, the reproducing kernel particle method (RKPM) is innovatively extended to the elastodynamic analysis of functionally graded material (FGM). The elastodynamics governing equations of FGM are solved by using the RKPM. The penalty factor method is used to solve the displacement boundary conditions, and the Newmark-beta method is used to discretize the time. The influence of the penalty factor and the scaling parameter is discussed, and the stability and convergence of the RKPM are analyzed. Finally, the correctness of meshless RKPM to solve the elastodynamics of FGM is verified by numerical examples of the functionally graded beams and plates.

关键词： Functionally graded material meshless method reproducing kernel particle method elastodynamic problem numerical analysis

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Coupling of WCSPH and RKPM for the simulation of incompressible fluid-structure interactions

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JOURNAL OF FLUIDS AND STRUCTURES 2021年 102卷 103254-103254页

作者： Peng, Yu-Xiang Zhang, A. -Man Wang, Shi-Ping Harbin Engn Univ Coll Shipbldg Engn Harbin 150001 Peoples R China

A 2D fluid-structure interaction (FSI) solver based on Smoothed particle Hydrodynamics (SPH) and RKPM is established in this paper. Since we focus on the incompressible flow problem, the WCSPH is adopted to simulate the fluid. Meanwhile, the structure is modeled by the RKPM beam formulation, in which the plane strain hypothesis is adopted, and only a column of particles is needed to discretize the beam. Since the support domain of the fluid particle near the FS interface is truanted, the so-called normal-flux method is adopted to consider surface integration terms. Moreover, we propose a new excess pressure for the incompressible fluid flow based on Bernoulli's principle, which is more accurate for the simulation of incompressible FSI problems. Besides, the particle shifting scheme near the fluid-structure interface is modified. Finally, the accuracy and stability of the present FSI solver are verified by several numerical examples. (C) 2021 Elsevier Ltd. All rights reserved.

关键词： Fluid-structure interaction Weakly-compressible SPH reproducing kernel particle method Elastic structure Degenerated continuum approach

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A hyper-reduction computational method for accelerated modeling of thermal cycling-induced plastic deformations

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JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS 2021年 151卷 104385-104385页

作者： Kaneko, Shigeki Wei, Haoyan He, Qizhi Chen, Jiun-Shyan Yoshimura, Shinobu Univ Tokyo Sch Engn Bunkyo Ku Tokyo Japan Univ Calif San Diego Dept Struct Engn La Jolla CA 92093 USA ANSYS Livermore Software Technol Livermore CA USA Pacific Northwest Natl Lab Phys & Computat Sci Directorate Richland WA 99352 USA

For materials under cyclic thermal loadings, temperature and strain rate-dependent creep deformation can occur due to the thermal expansion mismatch near material interfaces, leading to deterioration of fatigue life. Simulation of the nonlinear mechanical deformation processes of materials subjected to thermal cycling with high-fidelity numerical models often consume high computational costs due to material nonlinearities and long thermal loading period. To accelerate such thermal cycling simulation, an efficient reduced-order modeling framework is proposed. We adopt the reproducing kernel particle method (RKPM) to generate offline high-fidelity model snapshots, which are utilized to create low-dimensional surrogate models based on the proper orthogonal decomposition under Galerkin projection. Based on the stabilized conforming nodal integration technique, gradient smoothing at single integration point per integration cell is employed in conjunction with a least-squares stabilization for high computational efficiency. To further speed up the simulation, a hyper-reduction method is introduced to avoid the full domain integration during the elastoplastic online simulation. Numerical examples on modeling of thermal cycling-induced plastic deformation and thermal fatigue life prediction of a flip chip assembly are analyzed to demonstrate the effectiveness of the present hyper-reduced-order model in significant reduction of computational time while preserving desired accuracy.

关键词： Thermo-visco-plastic deformation Thermal cycling simulation Thermal fatigue analysis Reduced-order model Hyper-reduction method Proper orthogonal decomposition reproducing kernel particle method

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Simulation of bulk metal forming by means of finite integral mesh free methods

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PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE 2005年第9期219卷 949-963页

作者： Li, CS Xiong, SW Rodrigues, JMC Martins, PAF Univ Tecn Lisboa Inst Super Tecn Dept Engn Mecan P-1049001 Lisbon Portugal Northeastern Univ State Key Lab Rolling & Automat Shenyang Peoples R China Northwestern Univ Dept Mech Engn Evanston IL 60208 USA

This paper draws from the fundamentals of the finite integral mesh free representation methods and of the rigid-plastic formulation for slightly compressible materials to the main aspects of computer implementation and modelling of bulk-metal forming processes. Fundamental research and development is based on the reproducing kernel particle method (RKPM) and the corrected smoothed particle hydrodynamics (CSPH) method. Special emphasis is placed on a wide range of theoretical and numerical subjects such as discretization procedures, numerical integration of the system matrices derived from the weak form, relief of volumetric locking, geometrical update of the deforming workpiece, and treatment of the frictional contact interface between the workpiece and tooling. The overall presentation is supported by cold forming experimental parts based on the upsetting of bars and the side pressing of rods under laboratory-controlled conditions. Comparisons between RKPM and CSPH predictions, finite element computations, and experimental results comprise a wide range of topics such as material flow, geometry, forming load, and distribution of strain. The agreement between mesh free methods, finite elements, and experimental results is good.

关键词： bulk metal forming reproducing kernel particle method corrected smoothed particle hydrodynamics method finite element method experimentation

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A concurrent atomistic-crystal plasticity multiscale model for crack propagation in crystalline metallic materials

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COMPUTER methodS IN APPLIED MECHANICS AND ENGINEERING 2021年 379卷 113748-113748页

作者： Chakraborty, Subhendu Ghosh, Somnath Johns Hopkins Univ Dept Mech Engn Baltimore MD 21218 USA Johns Hopkins Univ Dept Civil & Syst 3400 N Charles St Baltimore MD 21218 USA Johns Hopkins Univ Dept Mech 3400 N Charles St Baltimore MD 21218 USA Johns Hopkins Univ Dept Mat Sci & Engn 3400 N Charles St Baltimore MD 21218 USA

This paper develops a coupled concurrent atomistic-continuum multiscale model for analyzing crack propagation and associated mechanisms in crystalline metallic materials. This modeling framework can be used to develop effective continuum-scale constitutive models for crack evolution in deforming domains characterized by crystal plasticity. The atomistic region is modeled by the molecular dynamics (MD) code LAMMPS, while the continuum region is modeled by a dislocation density crystal plasticity FE model. A novel method is developed to transfer discrete dislocations in the atomistic domains to dislocation densities in the continuum domain. Propagation of dislocation densities in the continuum domain is modeled by the advection equation of a conserved quantity using the reproducing kernel particle method (RKPM) in conjunction with the collocation method. Validation studies are conducted by comparing results of the concurrent model with those by MD for nickel single crystal specimen with an embedded crack. An analytical model of the crack tip nucleated dislocation density evolution is developed for inclusion in crystal plasticity models. The effect of applied strain-rate and temperature on the parameters of this model are studied. (C) 2021 Elsevier B.V. All rights reserved.

关键词： Concurrent atomistic-crystal plasticity model Crack propagation Dislocation densities Advection equation reproducing kernel particle method Single crystal Nickel

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A variational multiscale immersed meshfree method for fluid structure interactive systems involving shock waves

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COMPUTER methodS IN APPLIED MECHANICS AND ENGINEERING 2022年 389卷 114396-114396页

作者： Huang, Tsung-Hui Chen, Jiun-Shyan Tupek, Michael R. Beckwith, Frank N. Fang, H. Eliot Univ Calif San Diego Dept Struct Engn La Jolla CA 92093 USA Sandia Natl Labs POB 5800 Albuquerque NM 87185 USA Natl Tsing Hua Univ Dept Power Mech Engn Hsinchu Taiwan

We develop an immersed meshfree method under a variational multiscale framework for modeling fluid-structure interactive systems involving shock waves. The proposed method enables flexible non-body-fitted discretization, approximations, and quadrature rules for solid and fluid subdomains. The interfacial compatibility conditions are imposed by a volumetric constraint, which avoids the tedious contour integral and interface tracking. The reproducing kernel particle method (RKPM) is employed for both solid and fluid sub-systems, which allows arbitrary control of the orders of continuity and approximation, as well as flexibility in discretization, making it particularly advantageous for modeling fluid-structure interaction (FSI). In the proposed approach, the fictitious fluid is combined with the foreground solid, forming an "effective solid problem" solved on a moving foreground domain, while the background fluid problem is solved with prescribed solid velocity in the overlapping domain to reduce the leaking instability and mesh sensitivity. The variational multiscale immersed method (VMIM) is employed to enhance accuracy and stability in FS coupling, which leads to a residual-based stabilization. The MUSCL-SCNI shock algorithm provides a natural way of introducing the Riemann solution in the shock algorithm via the SCNI contour integral for desirable accuracy. The employment of SCNI in the proposed framework also provides computational efficiency, accuracy, and stability. Using a larger RKPM support size in the fluid domain can effectively suppress the leaking instability. The effectiveness of the proposed methods is verified in solving several FSI problems with shock waves, and the enhanced stability and accuracy of the proposed methods compared to the classical immersed approach have also been demonstrated. (c) 2021 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://***/licenses/by/4.0/).

关键词： Fluid-structure interaction Shock wave reproducing kernel particle method Variational multiscale immersed method Meshfree method

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The elastoplastic analysis of functionally graded materials using a meshfree RRKPM

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APPLIED MATHEMATICS AND COMPUTATION 2022年 413卷 126651-126651页

作者： Liu, Zheng Wei, Gaofeng Qin, Shaopeng Wang, Zhiming Qilu Univ Technol Shandong Acad Sci Sch Mech & Automot Engn Jinan 250353 Shandong Peoples R China Shandong Inst Mech Design & Res Jinan 250031 Shandong Peoples R China

A meshfree approach, the radial basis reproducing kernel particle method (RRKPM), is proposed in this study, which is based on the radial basis functions (RBFs) and the reproducing kernel particle method (RKPM). The presented approach eliminates the negative effects of different kernel functions on numerical accuracy, which has the advantages of greater accuracy and convergence. Furthermore, the presented approach is adopted to solve the elastoplastic problem of functionally graded materials (FGMs). Using Galerkin weak form of elastoplastic problem, the meshfree RRKPM for elastoplastic problem of FGMs is established, and the penalty method is employed to impose the essential boundary conditions, then the corresponding formulas are obtained. The effects of the scaling factor, loading steps, number of nodes and node distributions on computational results of numerical accuracy are discussed in detail, and the influences of different functional gradient indexes on displacements are studied. To validate the applicability and reliability of the presented meshfree RRKPM, several elastoplastic examples of FGMs are performed and compared to the RKPM and the finite element method (FEM) solutions. (C) 2021 Elsevier Inc. All rights reserved.

关键词： Functionally graded materials Elastoplastic problem Meshfree approach Radial basis functions reproducing kernel particle method

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The numerical analysis of viscoelastic problems in signal propagation using a novel meshless Hermit-type RRKPM

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RESULTS IN PHYSICS 2024年 57卷

作者： Ma, Jichao Tai, Xin Ceyear Technol Co Ltd Shandong Elect Measurement Instrument Technol Inno Qingdao 266000 Peoples R China

Since meshless reproducing kernel particle method (RKPM) is easily affected by different kernel functions in numerical accuracy and stability, the Hermit-type function is introduced to the construction of trial function on boundary nodes. Meanwhile, the radial basis function is applied to establish the trial function in internal nodes, then a meshless Hermit-type radial basis function RKPM (Hermit-type RRKPM) is constructed. The advantage of this proposed method is that the numerical solution is more stable and the accuracy is higher. Furthermore, the meshless Hermit-type RRKPM is used to analyze viscoelastic problems. Finally, to illustrate the accuracy and stability, we compare the results of the proposed method and RRKPM with finite element method (FEM) solutions in solving viscoelastic problems.

关键词： reproducing kernel particle method Radial basis function method Meshless method Hermit-type radial basis function method Viscoelastic problems

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The meshless analysis of wave equations based on the RRKPM

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RESULTS IN PHYSICS 2020年 16卷

作者： Ma, Jichao Gao, Hongfen Wei, Gaofeng Qiao, Jinwei Qilu Univ Technol Sch Mech & Automot Engn Shandong Acad Sci Shandong 250353 Peoples R China Shandong Management Univ Coll Mech & Elect Engn Shandong 250357 Peoples R China

In this paper, the method of radial basis function (RBF) is employed to construct the approximating function of the reproducing kernel particle method (RKPM), which can reduce the adverse effect of different kernel functions on computational accuracy and improve stability in the problem domain, and the radial basis reproducing kernel particle method (RRKPM) is presented. Compared with the RKPM, the RRKPM has higher computational accuracy and better stability. Then RRKPM is applied to wave propagation, and the discretized system equation can be obtained using the integral weak form. The penalty method is applied to imposing the essential boundary condition, and the two-point difference method is selected to discretize the time. The accuracy and stability of the RRKPM for wave propagation problem are illustrated by the numerical examples.

关键词： Radial basis functions reproducing kernel particle method Wave equations Numerical simulation Meshless methods

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