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�������պ����ѧѧ�� 2007, Vol. 33 Issue (06) :658-662    DOI:
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����ƽ1, �Ž���1, ����2, �ѱ��1*
1. �������պ����ѧ ���տ�ѧ�빤��ѧԺ, ���� 100083;
2. �й���ѧԺ ��ѧ�о���, ���� 100080
Simulation of elastic-plastic impact with modified smoothed particle hydrodynamics method
Long Liping1, Zhang Jianyu1, Ding Hua2, Fei Binjun1*
1. Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, China;
2. School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

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ժҪ �ӻ�����������⻬���ӷ�SPH(Smoothed Particle Hydrodynamics)���Ƴ���,������ģ�������ѧ�д���ε�������ײ��SPH����.�ڱ߽紦���������ı߽�����,�����Է��������в����������ۼ���Ӧ��,�������������غ�⻬�������˲����������������ȶ�.��SPH���������˳���ʵ��,�����˸˵�������ײ������.�����������,SPH�����ڵ��Ӱ����ϴ󡢾��Ƚ���ͬ�ڵ�������Ԫ���Ľ����һ�����,����ͨ���������������������SPH�ľ���,����������Ժͼ������ε�����.
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Abstract�� Based on the approximation of smoothed particle hydrodynamics (SPH), the formulations of SPH method, which can numerically simulate the elastic-plastic impact process in solid mechanics, was established. Modified boundary functions were used to simulating the boundary condition. Owing to the tensile instability of traditional SPH, the code cannot get the proper result. The conservative smoothing approach was used in the procedure to filter the result and eliminate the tensile instability. The example of elastic-plastic impact of a pole and the comparison of the result calculated by SPH and finite element method (FEM) were given. The numerical example and analysis that indicated the influencing region of traditional SPH particle is lager than FEM, and the precision of SPH method is lower than FEM at the same scale of particles. The precision of SPH method can be improved by increasing the number of particles.
Keywords�� elastic waves   boundary conditions   smoothed particle hydrodynamics   elastic-plastic impact   conservative smoothing approach     
Received 2006-06-14;


About author: ����ƽ(1977-),Ů,���콭����,��ʿ��,yanxilong0919@sohu.com.
����ƽ, �Ž���, ����, �ѱ��.ģ�ⵯ������ײ������SPH����[J]  �������պ����ѧѧ��, 2007,V33(06): 658-662
Long Liping, Zhang Jianyu, Ding Hua, Fei Binjun .Simulation of elastic-plastic impact with modified smoothed particle hydrodynamics method[J]  JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A, 2007,V33(06): 658-662
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