Results 11 to 20 of about 862 (232)
Multiresolution Reproducing Kernel Particle Methods in Acoustics [PDF]
Journal of Computational Acoustics, 1997 In the analysis of complex phenomena of acoustic systems, the computational modeling requires special attention in order to give a realistic representation of the physics. As a powerful tool, the finite element method has been widely used in the study of complex systems. In order to capture the important physical phenomena, p-finite elements and/or hp-
R. A. Uras +3 more
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Enrichment of the Finite Element Method With the Reproducing Kernel Particle Method [PDF]
Journal of Applied Mechanics, 1997 The reproducing kernel particle method (RKPM) has attractive properties in handling high gradients, concentrated forces, and large deformations where other widely implemented methodologies fail. In the present work, a multiple field computational procedure is devised to enrich the finite element method with RKPM, and RKPM with analytical functions. The
Chen, Y., Liu, W.K., Uras, R.A.
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Reproducing kernel particle method and its modification [PDF]
Mathematica Bohemica, 2010 Summary: Meshless methods have become an effective tool for solving problems from engineering practice in last years. They have been successfully applied to problems in solid and fluid mechanics. One of their advantages is that they do not require any explicit mesh in computation. This is the reason why they are useful in the case of large deformations,
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A quasi-conforming embedded reproducing kernel particle method for heterogeneous materials
Computer Methods in Applied Mechanics and Engineering, 2023 We present a quasi-conforming embedded reproducing kernel particle method (QCE-RKPM) for modeling heterogeneous materials that makes use of techniques not available to mesh-based methods such as the finite element method (FEM) and avoids many of the drawbacks in current embedded and immersed formulations which are based on meshed methods. The different
Ryan T. Schlinkman +4 more
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A Quasi-Convex RKPM for 3D Steady-State Thermomechanical Coupling Problems
MathematicsA meshless, quasi-convex reproducing kernel particle framework for three-dimensional steady-state thermomechanical coupling problems is presented in this paper.
Lin Zhang +3 more
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Meshfree methods for computational fluid dynamics
EPJ Web of Conferences, 2013 The paper deals with the convergence problem of the SPH (Smoothed Particle Hydrodynamics) meshfree method for the solution of fluid dynamics tasks. In the introductory part, fundamental aspects of mesh- free methods, their definition, computational ...
Jícha M., Čermák L., Niedoba P.
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A Hybrid Reproducing Kernel Particle Method for Three-Dimensional Helmholtz Equation
MathematicsThe reproducing kernel particle method (RKPM) is one of the most universal meshless methods. However, when solving three-dimensional (3D) problems, the computational efficiency is relatively low because of the complexity of the shape function.
Piaopiao Peng, Ning Wang, Yumin Cheng
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Interpolation-based reproducing kernel particle method
Computer Methods in Applied Mechanics and EngineeringMeshfree methods, including the reproducing kernel particle method (RKPM), have been widely used within the computational mechanics community to model physical phenomena in materials undergoing large deformations or extreme topology changes. RKPM shape functions and their derivatives cannot be accurately integrated with the Gauss-quadrature methods ...
Jennifer E. Fromm +2 more
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A neural network‐enhanced reproducing kernel particle method for modeling strain localization
International Journal for Numerical Methods in Engineering, 2022 AbstractModeling the localized intensive deformation in a damaged solid requires highly refined discretization for accurate prediction, which significantly increases the computational cost. Although adaptive model refinement can be employed for enhanced effectiveness, it is cumbersome for the traditional mesh‐based methods to perform while modeling the
Jonghyuk Baek +2 more
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Advanced Functional Materials, EarlyView.Biofabrication aims at providing innovative technologies and tools for the fabrication of tissue‐like constructs for tissue engineering and regenerative medicine applications. By integrating multiple biofabrication technologies, such as 3D (bio) printing with fiber fabrication methods, it would be more realistic to reconstruct native tissue's ...
Waseem Kitana +2 more
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