Application of Meshless Local Petrov-Galerkin (MLPG) method in cloth simulation

CMES - Computer Modeling in Engineering and Sciences

Volumn 35, Issue 2, 2008, Pages 133-154

  Yuan, Weiran ^a,b   Chen, Yujun ^b,c   Gagalowicz, André ^b   Liu, Kaixin ^a  

^a PEKING UNIVERSITY   (China)

^b INRIA ROCQUENCOURT   (France)

^c TSINGHUA NATIONAL LABORATORY FOR INFORMATION SCIENCE AND TECHNOLOGY   (China)

Author keywords

Cloth simulation; Large deformation; MLPG; Thin shells

Indexed keywords

ANIMATION; CARBON NANOTUBES; CONTINUUM MECHANICS; DEFORMATION; ELASTICITY; FUNCTION EVALUATION; GALERKIN METHODS; NONLINEAR EQUATIONS;

CLOTH ANIMATIONS; CLOTH MODELS; CLOTH SIMULATION; COLLISION DETECTIONS; COROTATIONAL FORMULATIONS; DISPLACEMENT FIELDS; GALERKIN; KIRCHHOFF; LARGE DEFORMATION; LINEAR STRAINS; LOCAL COORDINATE SYSTEMS; LOCAL WEAK FORMS; MECHANICAL BEHAVIORS; MESHLESS; MESHLESS INTERPOLATIONS; MESHLESS METHODS; MLPG; MLPG METHODS; PARAMETERIZED; PARAMETRIC SURFACES; SHAPE FUNCTIONS; THIN SHELLS; TOPOLOGICAL INFORMATIONS; TRIAL FUNCTIONS;

FINITE ELEMENT METHOD;

EID: 58249135139     PISSN: 15261492     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (65)

1. Ahrem, R.; Beckert, A.; Wendland, H. (2006): A meshless spatial coupling scheme for large-scale fluid-structure-interaction problems. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 12, pp. 121-136.
2. Arefmanesh, A.; Najafi, M.; Abdi, H. (2008): Meshless local Petrov-Galerkin method with unity test function for non-isothermal fluid flow. CMES- COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 25, no. 1, pp. 9-22.
3. Atluri, S. N. (2004): The Meshless Local Petrov-Galerkin (MLPG) Method for Domain & Boundary Discretizations. Tech Science Press, Los Angeles, CA.
4. Atluri, S. N.; Han, Z. D.; Rajendran, A. M. (2004): A new implementation of the meshless finite volume method through the MLPG "mixed" approach. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 6, no. 6, pp. 491-513.
5. Atluri, S. N.; Liu, H. T.; Han, Z. D. (2006): Meshless local Petrov-Galerkin (MLPG) mixed collocation method for elasticity problems. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 14, no. 3, pp. 141-152.
6. Atluri, S. N.; Liu, H. T.; Han, Z. D. (2006): Meshless local Petrov-Galerkin (MLPG) mixed finite difference method for solid mechanics. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 15, no. 1, pp. 1-16.
7. Atluri, S. N.; Shen, S. (2005): The basis of meshless domain discretization: the meshless local Petrov-Galerkin (MLPG) method. Advances in Computational Mathematics, vol. 23, pp. 79-93.
8. Atluri, S. N.; Zhu, T. (1998): A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics. Comput. Mech. J., vol. 22, pp. 117-127.
9. Atluri, S. N.; Zhu, T. (2000): The meshless local Petrov-Galerkin (MLPG) approach for solving problems in elasto-statics. Comput. Mech. J., vol. 25, pp. 169-179.
10. Baraff, D.; Witkin, A. (1998): Large steps in cloth simulation. In SIGGRAPH '98: Proceedings of the 25th annual conference on Computer graphics and interactive techniques, pp. 43-54, New York, NY, USA. ACM.
11. Chang, J.; Zhang, J. (2004): Mesh-free deformations. Computer Animation and Virtual Worlds, vol. 15, no. 3-4, pp. 211-218.
12. Ching, H. K.; Batra, R. C. (2001): Determination of crack tip fields in linear elastostatics by the meshless local Petrov-Galerkin (MLPG) method. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 2, no. 2, pp. 273-289.
13. Choi, M. G.; Woo, S. Y.; Ko, H.-S. (2007): Real-time simulation of thin shells. Computer Graphics Forum, vol. 26, pp. 349-354.
14. Cirak, F.; Ortiz, M.; Schroder, P. (2000): Subdivision surfaces: a new paradigm for thin-shell finite-element analysis. International Journal for Numerical Methods in Engineering, vol. 47, no. 12, pp. 2039-2072.
15. Desbrun, M.; Gascuel, M.-P. (1995): Animating soft substances with implicit surfaces. In SIGGRAPH '95: Proceedings of the 22nd annual conference on Computer graphics and interactive techniques, pp. 287-290, New York, NY, USA. ACM.
16. Etzmuß, O.; Keckeisen, M.; Straßer, W. (2003): A fast finite element solution for cloth modelling. In PG '03: Proceedings of the 11th Pacific Conference on Computer Graphics and Applications, pg. 244, Washington, DC, USA. IEEE Computer Society.
17. Gagalowicz, A. (2006): Object manipulation in image sequences for augmented reality and special effects, 2006 research project activity report. Technical report, INRIA,Rocquencourt, 2006.
18. Gao, L.; Liu, K.; Liu, Y. (2006): Applications of MLPG method in dynamic fracture problems. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 181-195, no. 3, pp. 12.
19. Grinspun, E. (2004): A discrete model for inelastic deformation of thin shells. In In ACM/Eurographics Symposium on Computer Animation.
20. Gu, Y. T.; Liu, G. R. (2001): A meshless local Petrov-Galerkin (MLPG) formulation for static and free vibration analysis of thin plate. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 2, no. 4, pp. 463-76.
21. Guo, X.; Li, X.; Bao, Y.; Gu, X.; Qin, H. (2006): Meshless thin-shell simulation based on global conformal parameterization. IEEE Trans Vis Comput Graph, vol. 12, no. 3, pp. 375-385.
22. Guo, X. H.; Qin, H. (2005): Real-time meshless deformation. Computer Animation and Virtual Worlds, vol. 16, pp. 189-200.
23. Han, Z. D.; Atluri, S. N. (2004): Meshless local Petrov-Galerkin (MLPG) approach for 3-dimensional elasto-dynamics. Comput, Mater. Continua, vol. 1, no. 2, pp. 129-140.
24. Han, Z. D.; Atluri, S. N. (2004): Meshless local Petrov-Galerkin (MLPG) approache for solving 3d problem in elasto statics. Comp.Model Engr, vol. 6, no. 2, pp. 169-188.
25. Han, Z. D.; Liu, H. T.; Rajendran, A. M.; Atluri, S. N. (2006): The applications of meshless local Petrov-Galerkin (MLPG) approaches in high-speed impact, penetration and perforation problems. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 14, no. 2, pp. 119-128.
26. Han, Z. D.; Rajendran, A. M.; Atluri, S. N. (2005): Meshless local Petrov-Galerkin (MLPG) approaches for solving nonlinear problems with large deformations and rotations. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 10, no. 1, pp. 1-12.
27. Higham, N. J.; Schreiber, R. S. (1990): Fast polar decomposition of an arbitrary matrix. SIAM Journal on Scientific and Statistical Computing, vol. 11, no. 4, pp. 648-655.
28. Jarak, T.; Soric, J.; Hoster, J. (2007): Analysis of shell deformation responses by the meshless local Petrov-Galerkin (MLPG) approach. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 18, no. 3, pp. 235-246.
29. Johnson, J.; Owen, J. (2007): A meshless local Petrov-Galerkin method for magnetic diffusion in non-magnetic conductors. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 22, no. 3, pp. 165-188.
30. Kawabata, S. (1980): The Standardization and Analysis of Hand Evaluation. 1980Osaka: Textile Machinery Society of Japan.
31. Le, P.; Mai-Duy, N.; Tran-Cong, T.; Baker, G. (2008): A meshless modeling of dynamic strain localization in quasi-brittle materials using radial basis function networks. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 25, pp. 43-66.
32. Li, S.; Atluri, S. N. (2008): The MLPG mixed collocation method for material orientation and topology optimization of anisotropic solids and structures. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 30, no. 1, pp. 37-56.
33. Li, S.; Atluri, S. N. (2008): Topology-optimization of structures based on the mlpg mixed collocation method. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 26, no. 1, pp. 61-74.
34. Li, S.; Qian, D.; Liu, W. K.; Belytschko, T. (2001): A meshfree contact-detection algorithm. Computer Methods in Applied Mechanics and Engineering, vol. 190, pp. 3271-3292.
35. Lin, H.; Atluri, S. N. (2000): Meshless local Petrov-Galerkin (MLPG) method for convection-diffusion problems. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 1, no. 2, pp. 45-60.
36. Liu, C.-S. (2007): A meshless regularized integral equation method for laplace equation in arbitrary interior or exterior plane domains. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 19, pp. 99-109.
37. Liu, H. T.; Han, Z. D.; Atluri, S. N. (2006): Meshless local Petrov-Galerkin (MLPG) mixed collocation method for elasticity problems. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 14, no. 3, pp. 141-152.
38. Liu, H. T.; Han, Z. D.; Rajendran, A. M.; Atluri, S. N. (2006): Computational modeling of impact response with the rg damage model and the meshless local Petrov-Galerkin (MLPG) approaches. CMC: Computers, Materials & Continua, vol. 4, no. 1, pp. 43-54.
39. Liu, Y. H.; Chen, S. S.; J.Li; Cen, Z. Z. (2008): A meshless local natural neighbour interpolation method applied to structural dynamic analysis. CMESCOMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 31, pp. 145-156.
40. Long, S.; Liu, K.; Li, G. (2008): An analysis for the elasto-plastic fracture problem by the meshless local Petrov-Galerkin method. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 28, no. 3, pp. 203-216.
41. Long, S. Y.; Atluri, S. N. (2002): A meshless local Petrov-Galerkin method for solving the beding problem of a thin plate. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 3, no. 1, pp. 53-63.
42. Ma, Q. (2008): A new meshless interpolation scheme for mlpg-r method. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 23, pp. 75-89.
43. Mai-Cao, L.; Tran-Cong, T. (2008): A meshless approach to capturing moving interfaces in passive transport problems. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 31, pp. 157-188.
44. Mohammadi, M. H. (2008): Stabilized meshless local Petrov-Galerkin (MLPG) method for incompressible viscous fluid flows. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 29, no. 2, pp. 75-94.
45. Müller, M.; Keiser, R.; Nealen, A.; Pauly, M.; Gross, M.; Alexa, M. (2004): Point based animation of elastic, plastic and melting objects. In SCA '04: Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation, pp. 141-151, Aire-la-Ville, Switzerland, Switzerland. Eurographics Association.
46. Nealen, A.; Müller, M.; Keiser, R.; Boserman, E.; Carlson, M. (2005): Physically based deformable models in computer graphics. Computer Graphics Forum, vol. 25, no. 4, pp. 809-836.
47. Pauly, M.; Keiser, R.; Adams, B.; Dutre, P.; Gross, M.; Guibas, L. J. (2005): Meshless animation of fracturing solids. ACM Trans. Graph., vol. 24, no. 3, pp. 957-964.
48. Qian, L. F.; Batra, R. C.; Chen, L. M. (2003): Elastostatic deformations of a thick plate by using a higherorder shear and normal deformable plate theory and two meshless local Petrov-Galerkin (MLPG) methods. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 4, no. 1, pp. 161-176.
49. Rabczuk, T.; Areias, P. (2006): A meshfree thin shell for arbitrary evolving cracks based on an extrinsic basis. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 16, pp. 115-130.
50. Raju, I. S.; Phillips, D. R. (2003): Further developments in the MLPG method for beam problems. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 4, no. 1, pp. 141-160.
51. Sageresan, N.; Drathi, R. (2008): Crack propagation in concrete using meshless method. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 32, pp. 103-112.
52. Sladek, J.; abd P. Solek, V. S.; Wen, P.; Atluri, S. (2008): Thermal analysis of reissner-mindlin shallow shells with FGM properties by the MLPG. CMESCOMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 30, no. 2, pp. 77-98.
53. Sladek, J.; Sladek, V.; Atluri, S. N. (2001): A pure contour formulation for the meshless local boundary integral equation method in thermoelasticity. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 2, no. 4, pp. 423-434.
54. Sladek, J.; Sladek, V.; Solek, P.; Wen, P. (2008): Thermal bending of reissnermindlin plates by the MLPG. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 28, no. 1, pp. 57-67.
55. Sladek, J.; Sladek, V.; Wen, P. H.; Aliabadi, M. (2006): Meshless local Petrov-Galerkin (MLPG) method for shear deformable shells analysis. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 13, no. 2, pp. 103-117.
56. Sladek, J.; Sladek, V.; Zhang, C.; Solek, P. (2007): Application of the mlpg to thermo-piezoelectricity. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 22, no. 3, pp. 217-234.
57. Sladek, J.; Sladek, V.; Zhang, C.; Solek, P.; Starek, L. (2007): Fracture analyses in continuously nonhomogeneous piezoelectric solids by the mlpg. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 19, no. 3, pp. 247-262.
58. Slak, J.; Sladek, V.; Zhang, C.; Tan, C. L. (2006): Meshless local Petrov-Galerkin method for linear coupled thermoelastic analysis. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 16, no. 1, pp. 57-68.
59. Thomaszewski, B.; Wacker, M.; Straßer, W. (2006): A consistent bending model for cloth simulation with corotational subdivision finite elements. In SCA '06: Proceedings of the 2006 ACM SIGGRAPH/ Eurographics symposium on Computer animation, pp. 107-116, Aire-la-Ville, Switzerland, Switzerland. Eurographics Association.
60. Vavourakis, V.; Sellountos, E. J.; Polyzos, D. (2006): A comparison study on different MLPG(lbie) formulations. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 13, no. 3, pp. 171-184.
61. Wen, P.; Aliabadi, M.; Liu, Y. (2008): Meshless method for crack analysis in functionally graded materials with enriched radial base functions. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 30, pp. 133-147.
62. Wicke, M.; Steinemann, D.; Gross, M. (2005): Efficient animation of point-sampled thin shells. In Computer Graphics Forum, volume vol. 24, no. 3., pp. 667-676.
63. Wu, X.; Shen, S.; Tao, W. (2007): Meshless local Petrov-Galerkin collocation method for two-dimensional heat conduction problems. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 22, pp. 65-76.
64. Yuan, W.; Chen, P.; Liu, K. (2007): A new quasi-unsymmetric sparse linear systems solver for meshless local Petrov-Galerkin method (MLPG). CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 17, no. 2, pp. 115-134.
65. Zhang, Y.; Chen, L. (2008): A simplified meshless method for dynamic crack growth. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, vol. 31, pp. 189-200.