|
CSME 2020/08
Volume 41 No.4
:
467-478
|
|
A Tension Instability Free Smoothed Particle Hydrodynamics (SPH) Method Applied to Elastic Solid Mechanics
Xiaoying Zhanga, Zhe Huaa, Weicheng Cuib and Fang Wang
aSchool of Marine Engineering, Jimei University, Xiamen, 361021, China.
bSchool of Marine Engineering, Jimei University, Xiamen, 361021, China. / Shanghai Engineering Research Center of Hadal Science and Technology, Shanghai Ocean University, Shanghai 201306, China. / School of Engineering, Westlake University, Hangzhou 310024, China.
|
Abstract:
In this paper, a simple algorithm applied to elastic solid problems based on the Smoothed Particle Hydrodynamics (SPH) method is discussed. The solid is considered to be not flowable, and therefore particle approximation is only performed on the initial undeformed solid domain using a typical Lagrange interpretation. Under such consideration, the algorithm shows palpable reduction in computational consumption, and suffers less from tension instability which happens in most traditional SPH methods for solids. The proposed algorithm is validated against theoretical solutions, and is tested in solving a contact and collision problem. A von Neumann stability analysis is performed and a sufficient condition of stability is given, showing that the tension instability issue can be avoided under certain circumstances.
|
|
Keywords: smoothed particle hydrodynamics (SPH), elastic solid, tension instability, von Neumann stability analysis
|
Download PDF
|
|
*Corresponding author; e-mail:
|
©
2020
CSME , ISSN 0257-9731
|