The Meshless Local Petrov-Galerkin Method for Large Deformation Analysis of Hyperelastic Materials
Joint Authors
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-09-05
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Nonlinear formulations of the meshless local Petrov-Galerkin method (MLPG) are presented for the large deformation analysis of hyperelastic materials which are considered to be incompressible or nearly incompressible.
The MLPG method requires no explicit mesh in computation and therefore avoids mesh distortion difficulties.
In this paper, a simple Heaviside test function is chosen for reducing the computational effort by simplifying domain integrals for hyperelasticity problems.
Trial functions are constructed using the radial basis function (RBF) coupled with a polynomial basis function.
The plane stress hypothesis and a pressure projection method are employed to overcome the incompressibility or nearly incompressibility in the plane stress and plane strain problems, respectively.
Effects of the sizes of local subdomain and interpolation domain on the performance of the present MLPG method are investigated.
The behaviour of shape parameters of multiquadrics (MQ) function has been studied.
Numerical results for several examples show that the present method is effective in dealing with large deformation hyperelastic materials problems.
American Psychological Association (APA)
Hu, De'an& Sun, Zhanhua. 2011. The Meshless Local Petrov-Galerkin Method for Large Deformation Analysis of Hyperelastic Materials. ISRN Mechanical Engineering،Vol. 2011, no. 2011, pp.1-11.
https://search.emarefa.net/detail/BIM-512136
Modern Language Association (MLA)
Hu, De'an& Sun, Zhanhua. The Meshless Local Petrov-Galerkin Method for Large Deformation Analysis of Hyperelastic Materials. ISRN Mechanical Engineering No. 2011 (2011), pp.1-11.
https://search.emarefa.net/detail/BIM-512136
American Medical Association (AMA)
Hu, De'an& Sun, Zhanhua. The Meshless Local Petrov-Galerkin Method for Large Deformation Analysis of Hyperelastic Materials. ISRN Mechanical Engineering. 2011. Vol. 2011, no. 2011, pp.1-11.
https://search.emarefa.net/detail/BIM-512136
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-512136