Dual-support smoothed particle hydrodynamics for elastic mechanics
Zili Dai, Huilong Ren, Xiaoying Zhuang, Timon Rabczuk
TL;DR
This paper introduces a modified smoothed particle hydrodynamics (SPH) method with dual-support concepts and kernel correction to improve accuracy in elastic mechanics simulations, addressing limitations of standard SPH in variable support domains.
Contribution
The paper presents a novel SPH approach with dual-support and kernel correction techniques to enhance accuracy in elastic mechanics, overcoming previous limitations.
Findings
Improved accuracy over standard SPH demonstrated in benchmark tests.
Dual-support concept effectively handles unbalanced particle interactions.
Method validated in 1D, 2D, and 3D problems.
Abstract
In the standard 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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See pages 1-last of manuscript.pdf