Topic
Meshfree methods
About: Meshfree methods is a research topic. Over the lifetime, 2216 publications have been published within this topic receiving 69596 citations.
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TL;DR: In this paper, a radial basis function (RBF) collocation technique was used for predicting the static deformations and free vibrations behavior of thin and thick cross-ply laminated plates.
Abstract: In this paper, we combine the Carrera's Unified Formulation CUF ( E. Carrera. Theories and Finite elements for multilayered plates and shells: A unified compact formulation with numerical assessment and benchmarking. Arch. Comput. Meth. Eng., 10:215–297, 2003 ) and a radial basis function (RBF) collocation technique for predicting the static deformations and free vibrations behavior of thin and thick cross-ply laminated plates. For the first time, the Reissner-Mixed Variational Theorem is used together with the RBF collocation to achieve a highly accurate technique. The accuracy and efficiency of this collocation technique for static and vibration problems are demonstrated through numerical examples.
33 citations
TL;DR: In this paper, a non-iterative way to solve biharmonic boundary value problems by using a radial basis meshless method was developed. But this method is not suitable for solving direct boundary value problem, since solving direct problems is a preliminary step for inverse problems.
Abstract: In this paper, we develop a non-iterative way to solve biharmonic boundary value problems by using a radial basis meshless method. This is an original application of meshless method to solving inverse problems without any iteration, since traditional numerical methods for inverse boundary value problems mainly are iterative and hence very time-consuming. Numerical examples are presented for inverse biharmonic boundary value problems and corresponding direct problems, since solving direct problems is a preliminary step for inverse problems. All our examples of direct and inverse problems are solved within seconds in CPU time on a standard PC, which makes our proposed technique a great potential candidate for wide-spread applications to other inverse problems. Copyright © 2004 John Wiley & Sons, Ltd.
33 citations
TL;DR: Issues related to NEM accuracy and stability in its explicit version, and problems related to its implementation into an explicit FE commercial code are discussed and a comparative study addressing the main properties, advantages and disadvantages of both types of NE schemes, implicit and explicit are presented.
33 citations
TL;DR: In this paper, an efficient technique is presented for evaluation of a domain integral in which the integrand is defined by its values at a discrete set of nodes with highly varying density.
33 citations
TL;DR: In this paper, the Natural Neighbour Radial Point Interpolation Method (NNRPIM) is used in the numerical implementation of an Unconstrained Third-Order Plate Theory applied to laminates.
33 citations