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Relevant bibliographies by topics / Meshfree methods (Numerical analysis) Simulation methods

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Academic literature on the topic 'Meshfree methods (Numerical analysis) Simulation methods'

Author: Grafiati

Published: 4 June 2021

Last updated: 11 February 2022

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Journal articles on the topic "Meshfree methods (Numerical analysis) Simulation methods"

1

Gu, Yuan Tong. "An Adaptive Local Meshfree Updated Lagrangian Approach for Large Deformation Analysis of Metal Forming." Advanced Materials Research 97-101 (March 2010): 2664–67. http://dx.doi.org/10.4028/www.scientific.net/amr.97-101.2664.

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The large deformation analysis is one of major challenges in numerical modelling and simulation of metal forming. Because no mesh is used, the meshfree methods show good potential for the large deformation analysis. In this paper, a local meshfree formulation, based on the local weak-forms and the updated Lagrangian (UL) approach, is developed for the large deformation analysis. To fully employ the advantages of meshfree methods, a simple and effective adaptive technique is proposed, and this procedure is much easier than the re-meshing in FEM. Numerical examples of large deformation analysis are presented to demonstrate the effectiveness of the newly developed nonlinear meshfree approach. It has been found that the developed meshfree technique provides a superior performance to the conventional FEM in dealing with large deformation problems for metal forming.

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Song, Nan, Dong Qian, Jian Cao, Wing Kam Liu, and Shaofan Li. "Effective Models for Prediction of Springback In Flanging." Journal of Engineering Materials and Technology 123, no. 4 (July 25, 2000): 456–61. http://dx.doi.org/10.1115/1.1395019.

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A study on the prediction of springback angle is presented, with focus on the straight flanging operation. The objective of this work is to evaluate the reliability of different methods of prediction. An experiment of straight flanging operation is conducted. Major prediction approaches such as analytical model, numerical simulation using the Finite Element Method (FEM) and the Meshfree Method using the Reproducing Kernel Particle Methods (RKPM) are discussed. A set of sample problems is computed and comparisons are made with the experiment. The numerical analysis shows that the prediction from the 3D meshfree contact code matches well with the data from the FEM 2D solid model. A material property described by the kinematic hardening law provides a better prediction of springback than the isotropic hardening law.

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Li, Dong Feng, and Jian Tong Zhang. "A Review of Numerical Study of Micro-Scale Modeling for Asphalt Mixture." Applied Mechanics and Materials 716-717 (December 2014): 332–37. http://dx.doi.org/10.4028/www.scientific.net/amm.716-717.332.

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Combining with digital image processing and numerical simulation technology, X-ray computerized tomography (CT) was used to study the microstructure of asphalt mixture for analyzing internal structure of asphalt mixture. The microstructure modeling methods of asphalt mixture can be classified as continuum-based numerical method and discontinuum-based numerical method. This paper described a review of the work done by many researchers on the modeling of asphalt mixture. The simulation methods are included finite element network model (FENM), a micromechanical finite element model (FEM), a clustered discrete element model (DEM), disturbed state concept (DSC), DDA (Discontinuous Displacement Analysis), numerical manifold method (NMM) and meshfree manifold method (MMM) that were used in micromechanical modeling of asphalt mixture.

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Hesar, Goudarz Ghanizadeh, Yeliz Pekbey, Hasan Yildiz, and Farshid Khosravi Maleiki. "A mesh-free simulation of mode I delamination of composite structures." Science and Engineering of Composite Materials 21, no. 1 (January 1, 2014): 137–49. http://dx.doi.org/10.1515/secm-2013-0019.

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AbstractA numerical and experimental investigation for the analysis of delamination problem under mode I loading in composite material is presented. Firstly, the simulation of the delamination under mode I loading and failure of composite materials based on the cohesive segments model is investigated by using the meshfree method. With the partition of unity of moving least-squares shape functions, the discontinuities at the cohesive segments are approximated with additional degrees of freedom at the nodes. An iterative solution scheme between the continuous and discontinuous fields is presented to solve mode I delamination growth. Secondly, to verify the meshfree method’s results, an experimental investigation and the finite element method were used for the simulation of delamination. The experimental study used a double-cantilever beam made of carbon/epoxy laminate (AS4/3501-6) which consists of 10 plies in [0]10 and [0/90/0/90/0]s layup with delamination inserted in the middle of the laminate. The critical fracture force, which can be experimentally measured, was used to calculate the mode I delamination fracture toughness of the carbon/epoxy laminate. Results obtained from the meshfree method showed very good agreement with experimental data for single-mode delamination under mode I loading. The meshfree method could also be used effectively to produce delamination growth in composite laminates and is especially suitable for the simulation of complex delamination patterns that are difficult to model using traditional numerical methods.

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HASEGAWA, KYOKO, SUSUMU NAKATA, and SATOSHI TANAKA. "MESHFREE ELASTODYNAMIC ANALYSIS OF THREE-DIMENSIONAL SOLIDS USING RADIAL POINT INTERPOLATION METHOD." International Journal of Modeling, Simulation, and Scientific Computing 02, no. 01 (March 2011): 83–95. http://dx.doi.org/10.1142/s1793962311000372.

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Meshfree methods are effective tools for solving partial differential equations. The radial point interpolation method, a partial differential equation solver based on a meshfree approach, enables accurate imposition of displacement boundary conditions and has been successfully applied to elastostatic analysis of various kinds of three-dimensional solids. In this method, stiffness matrix construction accounts for the majority of CPU time required for the entire process, resulting in high computational costs, especially when higher-order numerical integration is applied for accurate matrix construction. An alternative method, modified radial point interpolation, was proposed to overcome this shortcoming and has accomplished fast computation of elastostatic solid analysis. The purpose of this study is to develop an algorithm for time-dependent simulation of three-dimensional elastic solids. We show that the modified radial point interpolation method also accelerates the construction of the mass matrix required for time-dependent analysis in addition to that of the stiffness matrix. In our approach, the problem domain is assumed to have an implicit function representation that can be constructed from a set of surface points measured using a three-dimensional scanning system. Several numerical tests for elastodynamic analysis of complex shape models are presented.

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Yoon, Sangpil, Cheng-Tang Wu, Hui-Ping Wang, and Jiun-Shyan Chen. "Efficient Meshfree Formulation for Metal Forming Simulations." Journal of Engineering Materials and Technology 123, no. 4 (July 24, 2000): 462–67. http://dx.doi.org/10.1115/1.1396349.

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A stabilized conforming (SC) nodal integration method is developed for elastoplastic contact analysis of metal forming processes. In this approach, strain smoothing stabilization is introduced to eliminate spatial instability in collocation meshfree methods. The gradient matrix associated with strain smoothing satisfies the integration constraint (IC) of linear exactness in the Galerkin approximation. Strain smoothing formulation and numerical procedures for history-dependent problems are introduced. Applications to metal forming analysis are presented, with the results demonstrating a significant improvement in computational efficiency without loss of accuracy.

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Zakrzewski, Nadia, Majidreza Nazem, Scott William Sloan, and Mark Cassidy. "On Application of the Maximum Entropy Meshless Method for Large Deformation Analysis of Geotechnical Problems." Applied Mechanics and Materials 846 (July 2016): 331–35. http://dx.doi.org/10.4028/www.scientific.net/amm.846.331.

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Traditional grid-based numerical techniques such as the Finite Element Method (FEM) are known to suffer when large deformations of the continuum are encountered. As such, there has been limited success using this class of methods to solve many of the complex problems encountered in computational geomechanics. The potential of Meshfree techniques for addressing this perceived deficiency has been recognised. This study presents a robust Maximum Entropy Meshless (MEM) method for the analysis of problems involving geometrical nonlinearity in computational geomechanics. The method is validated via simulation of an undrained layer of soil under a rigid and rough strip footing undergoing large deformations and its merit is demonstrated through a comparison of the results with those obtained via the FEM.

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Wu, C. T., W. Hu, and M. Koishi. "A Smoothed Particle Galerkin Formulation for Extreme Material Flow Analysis in Bulk Forming Applications." International Journal of Computational Methods 13, no. 03 (May 31, 2016): 1650019. http://dx.doi.org/10.1142/s0219876216500195.

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This paper presents a new particle formulation for extreme material flow analyses in the bulk forming applications. The new formulation is first established by an introduction of a smoothed displacement field to the standard Galerkin formulation to eliminate zero-energy modes in conventional particle methods. The discretized system of linear equations is consistently derived and integrated using a direct nodal integration scheme. The linear formulation is next extended to the large deformation quasi-static analysis of inelastic materials. As quasi-static Lagrangian simulation proceeds in the severe deformation range, the analysis method is switched to explicit dynamics formulation and an adaptive Lagrangian kernel approach is preformed to reset the reference configuration and maintain the injective deformation mapping at the particles. Both nonconvex and convex meshfree approximations are investigated in this study. Several numerical benchmarks are provided to demonstrate the effectiveness and accuracy of the proposed method.

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Ju, J. W., K. Y. Yuan, A. W. Kuo, and J. S. Chen. "Novel Strain Energy Based Coupled Elastoplastic Damage and Healing Models for Geomaterials – Part II: Computational Aspects." International Journal of Damage Mechanics 21, no. 4 (August 17, 2011): 551–76. http://dx.doi.org/10.1177/1056789511407360.

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In Part I of this sequel (Ju, J.W., Yuan, K.Y. and Kuo, A.W. (2010). Novel Strain Energy Based Coupled Elastoplastic Damage and Healing Models for Geomaterials – Part I: Formulations, International Journal of Damage Mechanics, DOI: 10.1177/1056789511407359), we have developed innovative strain energy based coupled elastoplastic hybrid isotropic and anisotropic damage-healing formulations for geomaterials under complex 2D earth-moving processes. Emanating from a micromechanics-based brittle (tensile) damage characterization (P+) and a ductile (mixed tension–compression) damage-healing characterization ([Formula: see text]), the proposed hybrid isotropic and anisotropic damage-healing models for soils are implemented. Entirely new computational algorithms are systematically developed based on the two-step operator splitting methodology. The elastic damage-healing predictor and the plastic corrector are consistently implemented within the existing Nonlinear Meshfree Analysis Program at University of California, Los Angeles ( Chen, J.S., Wu, C.T., Yoon, S. and You, Y. (2001) . A Stabilized Conforming Nodal Integration for Galerkin Meshfree Methods, International Journal for Numerical Methods in Engineering, 50: 435–466). Several numerical simulations featuring sophisticated earth excavation, transport, compaction, and a numerical notched soil bar under cyclic tension–compression loading are presented to illustrate the salient elastoplastic damage and healing features of soils, such as shear band and partial recovery of soil stiffness due to compression (compaction) by the proposed innovative damage-healing models and step-by-step computational algorithms.

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PEKEDIS, MAHMUT, and HASAN YILDIZ. "NUMERICAL ANALYSIS OF A PROJECTILE PENETRATION INTO THE HUMAN HEAD VIA MESHLESS METHOD." Journal of Mechanics in Medicine and Biology 14, no. 04 (July 3, 2014): 1450059. http://dx.doi.org/10.1142/s0219519414500596.

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In recent years, physicists, engineers and medical scientists have tried to demonstrate the biomechanics of gunshot wounds with numerical methods and experimental observations. Currently, the finite element method (FEM) is the most widely used numerical method among the studies related to ballistic wound injuries. However, when the FEM is used for the penetration analysis, the path of the projectile in the skull is subjected to extremely large deformations which will introduce errors due to distortion of elements. To overcome this error, the meshfree technique was established to simulate the gunshot wound as a preliminary study in which the skull was modeled by smoothed particle hydrodynamics (SPH) and the projectile was modeled by nondeformable rigid elements. In order to simulate a realistic penetration phenomenon, orthotropic material properties were defined for different regions (forehead, zygomatic and mandible) with material principal axis along the surface of the bones. Human response to the ballistics impacts were determined in terms of force occurring along the pathway of the bullet in the skull, residual velocity of the projectile and penetration depth. The obtained results were compared with the data reported in literature. As a result, mechanical behavior of the head under ballistic impacts simulated by the SPH, compared well with the results determined by the data given in literature, which indicates the applicability of the SPH method as a powerful technique in simulating different gunshot wound mechanisms.

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Dissertations / Theses on the topic "Meshfree methods (Numerical analysis) Simulation methods"

1

Mabogo, Mbavhalelo. "Development of techniques using finite element and meshless methods for the simulation of piercing." Thesis, [S.l. : s.n.], 2009. http://dk.cput.ac.za/cgi/viewcontent.cgi?article=1056&context=td_cput.

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Wang, Shuang. "A volumetric mesh-free deformation method for surgical simulation in virtual environments." Access to citation, abstract and download form provided by ProQuest Information and Learning Company; downloadable PDF file, 78 p, 2009. http://proquest.umi.com/pqdweb?did=1885755951&sid=3&Fmt=2&clientId=8331&RQT=309&VName=PQD.

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Heryudono, Alfa R. H. "Adaptive radial basis function methods for the numerical solution of partial differential equations, with application to the simulation of the human tear film." Access to citation, abstract and download form provided by ProQuest Information and Learning Company; downloadable PDF file, 178 p, 2008. http://proquest.umi.com/pqdweb?did=1601513551&sid=5&Fmt=2&clientId=8331&RQT=309&VName=PQD.

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Belova, Anna, and Tamara Shmidt. "Meshfree methods in option pricing." Thesis, Högskolan i Halmstad, Sektionen för Informationsvetenskap, Data– och Elektroteknik (IDE), 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:hh:diva-16383.

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A meshfree approximation scheme based on the radial basis function methods is presented for the numerical solution of the options pricing model. This thesis deals with the valuation of the European, Barrier, Asian, American options of a single asset and American options of multi assets. The option prices are modeled by the Black-Scholes equation. The θ-method is used to discretize the equation with respect to time. By the next step, the option price is approximated in space with radial basis functions (RBF) with unknown parameters, in particular, we con- sider multiquadric radial basis functions (MQ-RBF). In case of Ameri- can options a penalty method is used, i.e. removing the free boundary is achieved by adding a small and continuous penalty term to the Black- Scholes equation. Finally, a comparison of analytical and finite difference solutions and numerical results from the literature is included.

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Barbieri, Ettore. "Meshfree methods for the analysis of composite materials." Thesis, University of Bath, 2010. https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.558846.

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The proposed research is essentially concerned on numerical simulation of materials and structures commonly used in the aerospace industry. The work is primarily focused on the study of the fracture mechanics with emphasis to composite materials, which are widely employed in the aerospace and automotive industry. Since human lives are involved, it is highly important to know how such structures react in case of failure and, possibly, how to prevent them with an adequate design. It has become of primary importance to simulate the material response in composite, especially considering that even a crack, which could be invisible from the outside, can propagate throughout the structure with small external loads and lead to unrecoverable fracture of the structure. In addition, structures made in composite often present a complex behaviour, due to their unconventional elastic properties. A numerical simulation is then a starting point of an innovative and safe design. Conventional techniques (nite elements for example) are not su-cient or simply not ecient in providing a satisfactory description of these phenomena. In fact, being based on the continuum assumption, mesh-based techniques suer of a native incapacity of simulating discontinuities. Novel numerical methods, known as Meshless Methods or Meshfree Methods (MM) and, in a wider perspective, Partition of Unity Methods (PUM), promise to overcome all the disadvantages of the traditional finite element techniques. The absence of a mesh makes MM very attractive for those problems involving large deformations, moving boundaries and crack propagation. However, MM still have signicant limitations that prevent their acceptance among researchers and engineers. Because of the infancy of these methods, more efforts should be made in order to improve their performances, with particular attention to the computational time. In summary, the proposed research will look at the attractive possibilities offered by these methods for the study of failure in composite materials and the subsequent propagation of cracks.

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Corrigan, Andrew. "Kernel-based meshless methods." Fairfax, VA : George Mason University, 2009. http://hdl.handle.net/1920/4585.

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Thesis (Ph.D.)--George Mason University, 2009.
Vita: p. 108. Thesis co-directors: John Wallin, Thomas Wanner. Submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Computational Science and Informatics. Title from PDF t.p. (viewed Oct. 12, 2009). Includes bibliographical references (p. 102-107). Also issued in print.

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Yang, Weixuan. "Temperature-dependent homogenization technique and nanoscale meshfree particle methods." Diss., University of Iowa, 2007. http://ir.uiowa.edu/etd/147.

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Zhang, Yubo. "Moving mesh methods for viscoelastic flows with free boundaries." HKBU Institutional Repository, 2009. http://repository.hkbu.edu.hk/etd_ra/1072.

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Zhang, Zan. "Numerial development of an improved element-free Galerkin method for engineering analysis /." access full-text access abstract and table of contents, 2009. http://libweb.cityu.edu.hk/cgi-bin/ezdb/thesis.pl?phd-bc-b23750613f.pdf.

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Thesis (Ph.D.)--City University of Hong Kong, 2009.
"Submitted to the Department of Building and Construction in partial fulfillment of the requirements for the degree of Doctor of Philosophy." Includes bibliographical references (leaves [170]-184)

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Kwok, Ting On. "Adaptive meshless methods for solving partial differential equations." HKBU Institutional Repository, 2009. http://repository.hkbu.edu.hk/etd_ra/1076.

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Books on the topic "Meshfree methods (Numerical analysis) Simulation methods"

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K, Liu W., ed. Meshfree particle methods. Berlin: Springer, 2004.

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Meshfree approximation methods with MATLAB. Singapore: World Scientific, 2007.

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Atluri, Satya N. Advances in the MLPG meshless methods. Duluth, GA: Tech Science Press, 2009.

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Liu, G. R. An introduction to meshfree methods and their programming. Dordrecht: Springer, 2004.

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T, Gu Y., ed. An introduction to meshfree methods and their programming. Dordrecht: Springer, 2005.

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B, Liu M., ed. Smoothed particle hydrodynamics: A meshfree particle method. New Jersey: World Scientific, 2003.

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R, Liu G., ed. Advances in meshfree and x-fem methods: Proceedings of the 1 st Asian Workshop on Meshfree Methods, Singapore, 16-18 December, 2002. Singapore: World Scientific, 2003.

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ECCOMAS Thematic Conference on Meshless Methods (2nd : 2007 : Porto, Portugal), ed. Progress on meshless methods. [Dordrecht]: Springer, 2009.

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Molenaar, J. Multigrid methods for semiconductor device simulation. Amsterdam, the Netherlands: Centrum voor Wiskunde en Informatica, 1993.

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Joppich, Wolfgang. Multigrid Methods for Process Simulation. Vienna: Springer Vienna, 1993.

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Book chapters on the topic "Meshfree methods (Numerical analysis) Simulation methods"

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Bajer, Czesław I., and Bartłomiej Dyniewicz. "Meshfree Methods in Moving Load Problems." In Numerical Analysis of Vibrations of Structures under Moving Inertial Load, 241–46. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-29548-5_9.

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Fackeldey, Konstantin, Dorian Krause, and Rolf Krause. "Numerical validation of a constraints-based multiscale simulation method for solids." In Meshfree Methods for Partial Differential Equations V, 141–54. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-16229-9_9.

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Thomas, Derek C., and Michael A. Scott. "Isogeometric analysis based on T-splines." In Isogeometric Methods for Numerical Simulation, 205–32. Vienna: Springer Vienna, 2015. http://dx.doi.org/10.1007/978-3-7091-1843-6_5.

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Nguyen, Vinh Phu, and Stéphane Bordas. "Extended Isogeometric Analysis for Strong and Weak Discontinuities." In Isogeometric Methods for Numerical Simulation, 21–120. Vienna: Springer Vienna, 2015. http://dx.doi.org/10.1007/978-3-7091-1843-6_2.

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Jüttler, Bert. "A Primer on Splines and NURBS for Isogeometric Analysis." In Isogeometric Methods for Numerical Simulation, 1–19. Vienna: Springer Vienna, 2015. http://dx.doi.org/10.1007/978-3-7091-1843-6_1.

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Jouvet, Guillaume, and Jacques Rappaz. "Numerical Analysis and Simulation of the Dynamics of Mountain Glaciers." In Computational Methods in Applied Sciences, 83–92. Dordrecht: Springer Netherlands, 2014. http://dx.doi.org/10.1007/978-94-017-9054-3_5.

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Wainrib, Gilles. "Some Numerical Methods for Rare Events Simulation and Analysis." In Lecture Notes in Mathematics, 73–95. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-32157-3_4.

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Fernandes, Fábio A. O., Ricardo J. Alves de Sousa, and Mariusz Ptak. "Application of Numerical Methods for Accident Reconstruction and Forensic Analysis." In Head Injury Simulation in Road Traffic Accidents, 59–98. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-89926-8_4.

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Dellnitz, Michael, Gary Froyland, and Oliver Junge. "The Algorithms Behind GAIO — Set Oriented Numerical Methods for Dynamical Systems." In Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems, 145–74. Berlin, Heidelberg: Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-642-56589-2_7.

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Bermúdez, Alfredo, Rodolfo Rodríguez, and Pilar Salgado. "Numerical Analysis of Finite Element Methods for Eddy Current Problems. Applications to Electrode Simulation." In Numerical Mathematics and Advanced Applications, 3–19. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-642-18775-9_1.

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Conference papers on the topic "Meshfree methods (Numerical analysis) Simulation methods"

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Park, Young H. "Numerical Study of Metal Forming Simulation Using Elasto-Plastic and Rigid-Plastic Meshfree Analysis." In ASME 2005 Pressure Vessels and Piping Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/pvp2005-71006.

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In this paper, material processing simulation is carried out using a meshfree method. The domain of the workpiece is discretized using the Lagrangian Reproducing Kernel Particle Method (RKPM) where no external meshes are used. The meshfree method is formulated for elasto-plastic material model as well as rigid-plastic model. For elasto-plastic model, a finite plasticity theory is formulated based on the multiplicative decomposition to handle large deformation problems. A rigid-plastic material model is also employed using flow formulation based on the assumption that elastic effects are insignificant in the metal forming operation. A comparative study between elasto-plastic and rigid-plastic RKPM methods was conducted to demonstrate consistency of the results from elasto-plastic and rigid-plastic simulations for a metal forming application.

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Chowdhury, Rajib, B. N. Rao, and A. Meher Prasad. "An Improved Meshfree Method for Fracture Analysis of Cracks." In ASME 2006 Pressure Vessels and Piping/ICPVT-11 Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/pvp2006-icpvt-11-93753.

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This paper presents an efficient meshless method for analyzing linear-elastic cracked structures subject to single- or mixed-mode loading conditions. The method involves an element-free Galerkin formulation in conjunction with an exact implementation of essential boundary conditions and a new weight function. The proposed method eliminates the shortcomings of Lagrange multipliers typically used in element-free Galerkin formulations. Numerical examples show that the proposed method yields accurate estimates of stress-intensity factors and near-tip stress field in two-dimensional cracked structures. Since the method is meshless and no element connectivity data are needed, the burdensome remeshing required by finite element method (FEM) is avoided. By sidestepping remeshing requirement, crack-propagation analysis can be dramatically simplified. An example problem on mixed-mode condition is presented to simulate crack propagation. The agreement between the predicted crack trajectories by the proposed meshless method and FEM is excellent. In recent years, a class of Galerkin-based meshfree or meshless methods have been developed that do not require a structured mesh to discretize the problem, such as the element-free Galerkin method, and the reproducing kernel particle method. These methods employ a moving least-squares approximation method that allows resultant shape functions to be constructed entirely in terms of arbitrarily placed nodes. Meshless discretization presents significant advantages for modeling fracture propagation. Since no element connectivity data are needed, the burdensome remeshing required by the finite element method (FEM) is avoided. A growing crack can be modeled by simply extending the free surfaces, which correspond to the crack. Although meshless methods are attractive for simulating crack propagation, because of the versatility, the computational cost of a meshless method typically exceeds the cost of a regular FEM. Also in some cases, the MLS which is the bases of the meshless method may form an ill-conditioned system of equations so that the solution cannot be correctly obtained. Hence, in this paper, we propose an improved element-free Galerkin method based on an improved moving least-square approximation (IMLS) method. In the IMLS method, the orthogonal function system with a weight function is used as the basis function. The IMLS has higher computational efficiency and precision than the MLS, and will not lead to an ill-conditioned system of equations. Numerical examples are presented to illustrate the computational efficiency and accuracy of the proposed improved element-free Galerkin method.

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Hiermaier, Stefan, and Martin Sauer. "Adaptive FE-Meshfree-Modelling for Impacts of Liquid Filled Vessels on Thin Walled Structures." In ASME 2003 International Mechanical Engineering Congress and Exposition. ASMEDC, 2003. http://dx.doi.org/10.1115/imece2003-55189.

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A principal approach to simulate the airplane impact and the collapse of World Trade Center North Tower has been shown by Quan and Birnbaum [4]. Using the general purpose hydrocode AUTODYN the impact damage, fire induced strength reduction and progressive collapse were investigated. Both for the fuel propagation after tank break up and the thermodynamic burn processes assumptions have been taken. It is the aim of this paper to focus on the numerical aspects of simulating the fluid propagation after vessel break up. The release of a fluid out of a broken vessel after impact is not easily represented in a numerical simulation as the fluid flow and its interaction with structures can not be modelled using Lagrangian type element formulations. These elements, typically applied for structural analyses, fail under massive deformation and usually need then to be taken out of the simulation. Typical fluid dynamic discretization methods, so called Eulerian grids, would have to cover the whole space potentially being reached by the fluid flow and are therefore inefficient in a large three dimensional simulation. As an alternative method a coupled discretization using Lagrange elements and Lagrange type meshfree methods is proposed here. Meshfree methods have been introduced to structural dynamics more then ten years ago specifically to simulate processes including large deformation [1]. Originally developed as pure meshfree code, the EMI SOPHIA [3] provides now a new form of adaptivity that allows for more efficiency and accuracy. This is achieved by the use of finite elements as long as deformation is capable for the elements. At definable strain or failure thresholds any element can be transformed into one or more meshfree particles. This way, mass and volume of the original elements are conserved. As the particles interact with each other as well as with the remaining elements, all physical processes can be modelled continuously. The purpose of this study was to contribute to numerical simulation of the airplane impacts into the World Trade Center. It includes impact simulations of cylindrical vessels filled with water against thin walled rectangular shaped bars. It shows that coupled discretizations and specifically an adaptive FE-meshfree discretization offer the flexibility needed to gain both accuracy and efficiency in the simulation.

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Kansa, Edward J., Alexender I. Fedoseyev, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "Meshfree Methods: Applications and Theory." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3637939.

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Qiang, H. F., and S. C. Fan. "NUMERICAL SIMULATION OF PERFORATION OF CONCRETE SLABS BY STEEL RODS USING SPH METHOD." In Proceedings of the 1st Asian Workshop on Meshfree Methods. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812778611_0033.

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Park, Young H. "Rigid-Plastic Meshfree Method for Metal Forming Simulation." In ASME 2003 Pressure Vessels and Piping Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/pvp2003-1907.

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In this paper, material processing simulation is carried out using a meshfree method. With the use of a meshfree method, the domain of the workpiece is discretized by a set of particles without using a structured mesh to avoid mesh distortion difficulties which occurred during the course of large plastic deformation. The proposed meshfree method is formulated for rigid-plastic material. This approach uses the flow formulation based on the assumption that elastic effects are insignificant in the metal forming operation. In the rigid-plastic analysis, the main variable of the problem becomes flow velocity rather than displacement. A numerical example is solved to validate the proposed method.

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Wang, Hui-Ping, Mark E. Botkin, Cheng-Tang Wu, and Sijun He. "Coupled Finite Element/Meshfree Simulation of Manufacturing Problems." In ASME 2003 Pressure Vessels and Piping Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/pvp2003-1903.

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This paper studies the performance of a newly developed coupled finite element/meshfree tool in manufacturing problem simulation. Two manufacturing problems, a battery tray forming and an axisymmetric forging, are used for demonstration. In both problems, the coupled finite element/meshfree analysis is compared with the traditional finite element analysis. The numerical studies show that the coupled finite element/meshfree solution is as accurate as the finite element solution for the problems without mesh distortion difficulties. For the ones involving excessive deformation, the coupled method provides more reliable solutions than the traditional finite element method, but higher CPU is required.

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Cheng, Li, Liu He, Lv Pin, and Ning Yu. "Numerical Simulation of Atmospheric Tomography with Plenoptic Camera." In Adaptive Optics: Analysis, Methods & Systems. Washington, D.C.: OSA, 2018. http://dx.doi.org/10.1364/aoms.2018.oth3e.6.

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Kneller, Gerald R., and Konrad Hinsen. "Analysis of low-frequency motions in proteins by computer simulation and neutron scattering." In Neutrons and numerical methods. AIP, 1999. http://dx.doi.org/10.1063/1.59484.

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Sbalzarini, Ivo F., Hong Li, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Advances in Numerical Methods for Stochastic Simulation." In ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010. AIP, 2010. http://dx.doi.org/10.1063/1.3497962.

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Reports on the topic "Meshfree methods (Numerical analysis) Simulation methods"

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Page, William, Brian Fisk, and William Zimmerman. Development of Numerical Simulation Methods for Analysis of Laser Guided Arc Discharge. Fort Belvoir, VA: Defense Technical Information Center, February 2008. http://dx.doi.org/10.21236/ada483004.

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Sparks, Paul, Jesse Sherburn, William Heard, and Brett Williams. Penetration modeling of ultra‐high performance concrete using multiscale meshfree methods. Engineer Research and Development Center (U.S.), September 2021. http://dx.doi.org/10.21079/11681/41963.

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Terminal ballistics of concrete is of extreme importance to the military and civil communities. Over the past few decades, ultra‐high performance concrete (UHPC) has been developed for various applications in the design of protective structures because UHPC has an enhanced ballistic resistance over conventional strength concrete. Developing predictive numerical models of UHPC subjected to penetration is critical in understanding the material's enhanced performance. This study employs the advanced fundamental concrete (AFC) model, and it runs inside the reproducing kernel particle method (RKPM)‐based code known as the nonlinear meshfree analysis program (NMAP). NMAP is advantageous for modeling impact and penetration problems that exhibit extreme deformation and material fragmentation. A comprehensive experimental study was conducted to characterize the UHPC. The investigation consisted of fracture toughness testing, the utilization of nondestructive microcomputed tomography analysis, and projectile penetration shots on the UHPC targets. To improve the accuracy of the model, a new scaled damage evolution law (SDEL) is employed within the microcrack informed damage model. During the homogenized macroscopic calculation, the corresponding microscopic cell needs to be dimensionally equivalent to the mesh dimension when the partial differential equation becomes ill posed and strain softening ensues. Results of numerical investigations will be compared with results of penetration experiments.

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Eisenberg, Michael. Descriptive Simulation: Combining Symbolic and Numerical Methods in the Analysis of Chemical Reaction Mechanisms. Fort Belvoir, VA: Defense Technical Information Center, September 1989. http://dx.doi.org/10.21236/ada214678.

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Cary, John R. FINAL Report on Analysis and direct numerical simulation of RF heating processes and advanced computational methods for fusion application. Office of Scientific and Technical Information (OSTI), February 2015. http://dx.doi.org/10.2172/1170537.

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