An efficient Galerkin meshfree formulation for shear deformable beam under finite deformation
Dongdong Wang,Yue Sun +1 more
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TLDR
A geometrically nonlinear total Lagrangian Galerkin mesh free formulation based on the stabilized conforming nodal integration for efficient analysis of shear deformable beam is proposed in this paper.About:
This article is published in Theoretical and Applied Mechanics Letters.The article was published on 2011-01-01 and is currently open access. It has received 1 citations till now. The article focuses on the topics: Meshfree methods & Galerkin method.read more
Citations
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Finite rotation meshfree formulation for geometrically nonlinear analysis of flat, curved and folded shells
TL;DR: In this article, a geometrically nonlinear analysis of flat, curved and folded shells under finite rotations is performed by enhanced six degrees of freedom (6-DOFs) mesh-free formulation.
References
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Journal ArticleDOI
Element‐free Galerkin methods
Ted Belytschko,Y. Y. Lu,L. Gu +2 more
TL;DR: In this article, an element-free Galerkin method which is applicable to arbitrary shapes but requires only nodal data is applied to elasticity and heat conduction problems, where moving least-squares interpolants are used to construct the trial and test functions for the variational principle.
Journal ArticleDOI
Reproducing kernel particle methods
TL;DR: A new continuous reproducing kernel interpolation function which explores the attractive features of the flexible time-frequency and space-wave number localization of a window function is developed and is called the reproducingkernel particle method (RKPM).
Book
Mesh Free Methods: Moving Beyond the Finite Element Method
TL;DR: In this paper, Galerkin et al. defined mesh-free methods for shape function construction, including the use of mesh-less local Petrov-Galerkin methods.
Journal ArticleDOI
A stabilized conforming nodal integration for Galerkin mesh-free methods
TL;DR: In this paper, a strain smoothing stabilization for nodal integration is proposed to eliminate spatial instability in nodal integrations, where an integration constraint is introduced as a necessary condition for a linear exactness in the mesh-free Galerkin approximation.
Book
Meshfree Methods: Moving Beyond the Finite Element Method, Second Edition
TL;DR: In this article, the authors present a survey of the most widely used mesh-free methods, including the Finite Element Method, and present an update of a ground-breaking work.
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