Calculation of Bearing Capacity Factors of Strip Footing Using the Nodebased Smoothed Finite Element Method (NS-FEM)

Wave-based methods for acoustic simulations within enclosures suffer the numerical dispersion and then usually have evident dispersion error for problems with high wave numbers. To improve the upper limit of calculating frequency for 3D problems, a hybrid smoothed finite element method (hybrid SFEM) is proposed in this paper. This method employs the smoothing technique to realize the reduction of the numerical dispersion. By constructing a type of mixed smoothing domain, the traditional node-based and face-based smoothing techniques are mixed in the hybrid SFEM to give a more accurate stiffness matrix, which is widely believed to be the ultimate cause for the numerical dispersion error. The numerical examples demonstrate that the hybrid SFEM has better accuracy than the standard FEM and traditional smoothed FEMs under the condition of the same basic elements. Moreover, the hybrid SFEM also has good performance on the computational efficiency. A convergence experiment shows that it costs less time than other comparison methods to achieve the same computational accuracy.

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Smoothed finite element method for analysis of multi-layered systems – Applications in biomaterials

Computers & Structures ◽

10.1016/j.compstruc.2016.02.003 ◽

2016 ◽

Vol 168 ◽

pp. 16-29 ◽

Cited By ~ 14

Author(s):

Eric Li ◽

Junning Chen ◽

Zhongpu Zhang ◽

Jianguang Fang ◽

G.R. Liu ◽

...

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Layered Systems ◽

Smoothed Finite Element Method ◽

Element Method

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Polyhedral smoothed finite element method for thermoelastic analysis

Journal of Mechanical Science and Technology ◽

10.1007/s12206-017-1138-5 ◽

2017 ◽

Vol 31 (12) ◽

pp. 5937-5949 ◽

Cited By ~ 1

Author(s):

Hobeom Kim ◽

Seyoung Im

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Thermoelastic Analysis ◽

Smoothed Finite Element Method ◽

Element Method

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Topology Optimization Using Node-Based Smoothed Finite Element Method

International Journal of Applied Mechanics ◽

10.1142/s1758825115500854 ◽

2015 ◽

Vol 07 (06) ◽

pp. 1550085 ◽

Cited By ~ 20

Author(s):

Z. C. He ◽

G. Y. Zhang ◽

L. Deng ◽

Eric Li ◽

G. R. Liu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Topology Optimization ◽

Optimization Design ◽

Solid Mechanics ◽

Optimality Criteria ◽

Topology Optimization Problem ◽

Design Variables ◽

Smoothed Finite Element Method ◽

Element Method

The node-based smoothed finite element method (NS-FEM) proposed recently has shown very good properties in solid mechanics, such as providing much better gradient solutions. In this paper, the topology optimization design of the continuum structures under static load is formulated on the basis of NS-FEM. As the node-based smoothing domain is the sub-unit of assembling stiffness matrix in the NS-FEM, the relative density of node-based smoothing domains serves as design variables. In this formulation, the compliance minimization is considered as an objective function, and the topology optimization model is developed using the solid isotropic material with penalization (SIMP) interpolation scheme. The topology optimization problem is then solved by the optimality criteria (OC) method. Finally, the feasibility and efficiency of the proposed method are illustrated with both 2D and 3D examples that are widely used in the topology optimization design.

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