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Dual-Support Smoothed Particle Hydrodynamics for Elastic Mechanics

Zili Dai

Institute of Structural Mechanics, Bauhaus-Universität Weimar, 99423 Weimar, Germany

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Huilong Ren

Institute of Structural Mechanics, Bauhaus-Universität Weimar, 99423 Weimar, Germany

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Xiaoying Zhuang

Division of Computational Mechanics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

Institute of Structural Mechanics, Bauhaus-Universität Weimar, 99423 Weimar, Germany

Department of Geotechnical Engineering, College of Civil Engineering, Tongji University, Shanghai 200092, P. R. China

E-mail Address: xiaoyingzhuang@tougji.edu.cn

Corresponding author.

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, and

Timon Rabczuk

Division of Computational Mechanics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam

Institute of Structural Mechanics, Bauhaus-Universität Weimar, 99423 Weimar, Germany

E-mail Address: timon.rabczuk@tdt.edu.vn

Corresponding author.

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https://doi.org/10.1142/S0219876217500396Cited by:14 (Source: Crossref)

Abstract

In the standard smoothed particle hydrodynamics (SPH) method, the interaction between two particles might be not pairwise when the support domain varies, which can result in a reduction of accuracy. To deal with this problem, a modified SPH approach is presented in this paper. First of all, a Lagrangian kernel is introduced to eliminate spurious distortions of the domain of material stability, and the gradient is corrected by a linear transformation so that linear completeness is satisfied. Then, concepts of support and dual-support are defined to deal with the unbalanced interactions between the particles with different support domains. Several benchmark problems in one, two and three dimensions are tested to verify the accuracy of the modified SPH model and highlight its advantages over the standard SPH method through comparisons.

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Vol. 14, No. 04

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History

Received 14 March 2016

Revised 10 May 2016

Accepted 8 September 2016

Published: 20 October 2016

Keywords

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Dual-Support Smoothed Particle Hydrodynamics for Elastic Mechanics

Abstract

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Dual-Support Smoothed Particle Hydrodynamics for Elastic Mechanics

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