Journal ArticleDOI
Meshfree particle methods for thin plates
Reads0
Chats0
TLDR
In this paper, the authors proposed mesh-free particle methods for the solutions of the classical plate model, in which approximation functions have high order polynomial reproducing property and the Kronecker delta property.About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 2012-02-01. It has received 31 citations till now. The article focuses on the topics: Meshfree methods & Diffuse element method.read more
Citations
More filters
Journal ArticleDOI
I and i
TL;DR: There is, I think, something ethereal about i —the square root of minus one, which seems an odd beast at that time—an intruder hovering on the edge of reality.
Journal ArticleDOI
An improved moving Kriging meshfree method for plate analysis using a refined plate theory
TL;DR: In this paper, a simple and efficient approach based on a moving Kriging interpolation-based (MKI) meshfree method and a two-variable refined plate theory for static, free vibration and buckling analyses of isotropic plates is presented.
Journal ArticleDOI
A new convergence analysis of finite element methods for elliptic distributed optimal control problems with pointwise state constraints
Susanne C. Brenner,Li-Yeng Sung +1 more
TL;DR: A new convergence analysis is developed that is applicable to C-1 finite element methods, classical nonconforming finiteelement methods and discontinuous Galerkin methods.
Journal ArticleDOI
Total Lagrangian particle method for the large-deformation analyses of solids and curved shells
TL;DR: In this paper, a high-accuracy smoothed-particle hydrodynamics (SPH) method for a large deformation solid is developed from two aspects: improving the completeness of the approximation function and deducing the governing equation in the undeformed configuration.
Journal ArticleDOI
A robust shell element in meshfree SPH method
TL;DR: Wang et al. as discussed by the authors used the total Lagrangian smoothed particle hydrodynamics (SPH) method equation and moving least square (MLS) function to improve the SPH method regarding the stability and consistency.
References
More filters
Journal ArticleDOI
I and i
TL;DR: There is, I think, something ethereal about i —the square root of minus one, which seems an odd beast at that time—an intruder hovering on the edge of reality.
Book
Theory of plates and shells
TL;DR: In this article, the authors describe the bending of long RECTANGULAR PLATES to a cycloidal surface, and the resulting deformation of shels without bending the plates.
Book
The Finite Element Method for Elliptic Problems
Philippe G. Ciarlet,J. T. Oden +1 more
TL;DR: The finite element method has been applied to a variety of nonlinear problems, e.g., Elliptic boundary value problems as discussed by the authors, plate problems, and second-order problems.
Book
Finite Element Method for Elliptic Problems
TL;DR: In this article, Ciarlet presents a self-contained book on finite element methods for analysis and functional analysis, particularly Hilbert spaces, Sobolev spaces, and differential calculus in normed vector spaces.
Book
The Mathematical Theory of Finite Element Methods
TL;DR: In this article, the construction of a finite element of space in Sobolev spaces has been studied in the context of operator-interpolation theory in n-dimensional variational problems.
Related Papers (5)
The piecewise polynomial partition of unity functions for the generalized finite element methods
Survey of meshless and generalized finite element methods: A unified approach
The partition of unity finite element method: Basic theory and applications
Jens Markus Melenk,Ivo Babuška +1 more