A contact algorithm for the Signorini problem using space–time finite elements

2004 ◽  
Vol 60 (7) ◽  
pp. 1197-1213
Author(s):  
P. D. Pattillo ◽  
D. A. Tortorelli
2018 ◽  
Vol 15 (07) ◽  
pp. 1850059 ◽  
Author(s):  
Chunlai Zhao ◽  
Mengyan Zang ◽  
Shunhua Chen ◽  
Zumei Zheng

An efficient sphere-packing algorithm named hierarchical generation method (HGM) is developed. The method is capable of efficiently generating spheres with a specific size distribution in a given geometric domain. Moreover, an improved contact algorithm for contact detection between spherical discrete elements and hexahedron finite elements (INTS) is presented. The algorithm is also suitable for simulating complex wheel–sand interactions. By using the developed algorithm, the running behaviors of a chevron tread-pattern wheel on a sand bed are simulated. The sand bed model is established by HGM and wheel–sand interactions are simulated using INTS. Numerical results validate the feasibility of the proposed method in the simulation of wheel–sand interactions.


2019 ◽  
Vol 2019 ◽  
pp. 1-12 ◽  
Author(s):  
Guo-Xin Yan ◽  
Guang Pan ◽  
Yao Shi

When the autonomous underwater vehicle (AUV) enters the water at a small angle, the head of the AUV will be subjected to a torque that causes it to rise, which may cause the AUV to ricochet. The occurrence of ricochet will have an important impact on the trajectory stability of the AUV. In this paper, the finite element method-smoothed particle hydrodynamics (FEM-SPH) coupling algorithm, which absorbs the high efficiency of FEM and the advantages of SPH in dealing with large deformation and meshes distortion, is used to study the small-angle water entry problem of the AUV numerically. In the coupled FEM-SPH algorithm, discrete particles were used to model the zone of water, while the part of the AUV was modeled with finite elements. A contact algorithm couples the finite elements and the particles. Particular attention was paid to the influence of different head hemisphere angles and different initial conditions on the ricochet trajectory of the AUV. The critical conditions and influencing factors of the AUV ricochet phenomenon were given.


2007 ◽  
Vol 54 (6-8) ◽  
pp. 901-922 ◽  
Author(s):  
Tayfun E. Tezduyar ◽  
Sunil Sathe ◽  
Timothy Cragin ◽  
Bryan Nanna ◽  
Brian S. Conklin ◽  
...  

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