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The Application of Mesh-Free Method in the Numerical Simulation of Beams with the Size Effect
Joint Authors
Sun, Yuzhou
Tian, Yuan
Zhang, Caili
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-30
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
The mesh-free method is employed to implement the numerical simulation of the bending behavior of beams with the size effect.
On the basis of the classical Bernoulli-Euler beam theory, two higher-order strain components are involved in the beam model.
The intrinsic bulk length and the directional surface length components are introduced into the constitutive relationship to describe the size effect, and the variation of the total potential is provided.
The moving-least square approximation is used to construct the shape function and its second- and third-order derivatives, and the choice of the scaling factor is discussed in detail.
A mesh-free scheme is built to implement numerical simulation, in which the higher-order strains are directly approximated with the nodal components due to the higher-order continuity of the shape function.
The convergence of method is illustrated in virtue of an example of the simply supported beam, and the effect of the intrinsic bulk length and the directional surface length components are studied.
American Psychological Association (APA)
Tian, Yuan& Zhang, Caili& Sun, Yuzhou. 2014. The Application of Mesh-Free Method in the Numerical Simulation of Beams with the Size Effect. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-483214
Modern Language Association (MLA)
Tian, Yuan…[et al.]. The Application of Mesh-Free Method in the Numerical Simulation of Beams with the Size Effect. Mathematical Problems in Engineering No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-483214
American Medical Association (AMA)
Tian, Yuan& Zhang, Caili& Sun, Yuzhou. The Application of Mesh-Free Method in the Numerical Simulation of Beams with the Size Effect. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-483214
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-483214