Abstract
Solid materials are responsible for many interesting phenomena. There are various types of them such as deformable objects and granular materials. In this paper, we present an MPM based framework to simulate the wide range of solid materials. In this framework, solid mechanics is based on the elastoplastic model, where we use von Mises criterion for deformable objects, and the Drucker-Prager model with non-associated plastic flow rules for granular materials. As a result, we can simulate different kinds of deformation of deformable objects and sloping failure for granular materials.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
An, Y., Wu, Q., Shi, C., Liu, Q.: Three-dimensional smoothed-particle hydrodynamics simulation of deformation characteristics in slope failure. Geotechnique 66, 670–680 (2016)
Becker, M., Ihmsen, M., Teschner, M.: Corotated sph for deformable solids. In: Proceedings of the Fifth Eurographics Conference on Natural Phenomena (NPH 2009), pp. 27–34. Eurographics Association, Aire-la-Ville (2009). http://dx.doi.org/10.2312EG/DL/conf/EG2009/nph/027-034
Bui, H.H., Fukagawa, R., Sako, K., Ohno, S.: Lagrangian meshfree particles method (SPH) for large deformation and failure flows of geomaterial using elasticplastic soil constitutive model. Int. J. Numer. Anal. Methods Geomech. 32(12), 1537–1570 (2008). http://dx.doi.org/10.1002/nag.688
Cleary, P.W., Das, R.: The potential for SPH modelling of solid deformation and fracture. In: Reddy, B.D. (ed.) IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media. IUTAM BookSeries, vol. 11, pp. 287–296. Springer, Dordrecht (2008). doi:10.1007/978-1-4020-9090-5_26
Daviet, G., Bertails-Descoubes, F.: A semi-implicit material point method for the continuum simulation of granular materials. ACM Trans. Graph. 35(4), 102:1–102:13 (2016). http://doi.acm.org/10.1145/2897824.2925877
Gray, J., Monaghan, J., Swift, R.: SPH elastic dynamics. Comput. Methods Appl. Mech. Eng. 190(49), 6641–6662 (2001). http://www.sciencedirect.com/science/article/pii/S0045782501002547
Jiang, C., Schroeder, C., Selle, A., Teran, J., Stomakhin, A.: The affine particle-in-cell method. ACM Trans. Graph. 34(4), 51:1–51:10 (2015). http://doi.acm.org/10.1145/2766996
Klár, G., Gast, T., Pradhana, A., Fu, C., Schroeder, C., Jiang, C., Teran, J.: Drucker-prager elastoplasticity for sand animation. ACM Trans. Graph. 35(4), 103:1–103:12 (2016). http://doi.acm.org/10.1145/2897824.2925906
Libersky, L.D., Petschek, A.G.: Smooth particle hydrodynamics with strength of materials. In: Trease, H.E., Fritts, M.F., Crowley, W.P. (eds.) Advances in the Free-Lagrange Method Including Contributions on Adaptive Gridding and the Smooth Particle Hydrodynamics Method. Lecture Notes in Physics, vol. 395, pp. 248–257. Springer, Heidelberg (1991). doi:10.1007/3-540-54960-9_58
Müller, M., Keiser, R., Nealen, A., Pauly, M., Gross, M., Alexa, M.: Point based animation of elastic, plastic and melting objects. In: Proceedings of the 2004 ACM SIGGRAPH/Eurographics Symposium on Computer Animation (SCA 2004), pp. 141–151. Eurographics Association, Aire-la-Ville (2004). http://dx.doi.org/10.1145/1028523.1028542
Solenthaler, B., Schlfli, J., Pajarola, R.: A unified particle model for fluidsolid interactions. Comput. Animat. Virtual Worlds 18(1), 69–82 (2007). http://dx.doi.org/10.1002/cav.162
Stomakhin, A., Schroeder, C., Chai, L., Teran, J., Selle, A.: A material point method for snow simulation. ACM Trans. Graph. 32(4), 102:1–102:10 (2013). http://doi.acm.org/10.1145/2461912.2461948
Stomakhin, A., Schroeder, C., Jiang, C., Chai, L., Teran, J., Selle, A.: Augmented MPM for phase-change and varied materials. ACM Trans. Graph. 33(4), 138:1–138:11 (2014). http://doi.acm.org/10.1145/2601097.2601176
Sulsky, D., Chen, Z., Schreyer, H.: A particle method for history-dependent materials. Comput. Methods Appl. Mech. Eng. 118(1), 179–196 (1994). http://www.sciencedirect.com/science/article/pii/0045782594901120
Yan, X., Jiang, Y.T., Li, C.F., Martin, R.R., Hu, S.M.: Multiphase SPH simulation for interactive fluids and solids. ACM Trans. Graph. 35(4), 79:1–79:11 (2016). http://doi.acm.org/10.1145/2897824.2925897
Acknowledgements
This work is supported by the People Programme (Marie Curie Actions) of the European Union’s Seventh Framework Programme FP7/2007-2013/ under REA grant agreement n\(^{\circ }\) [612627].
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
Jiang, Y., Yang, T., Chang, J., Hu, SM. (2017). MPM Based Simulation for Various Solid Deformation. In: Chang, J., Zhang, J., Magnenat Thalmann, N., Hu, SM., Tong, R., Wang, W. (eds) Next Generation Computer Animation Techniques. AniNex 2017. Lecture Notes in Computer Science(), vol 10582. Springer, Cham. https://doi.org/10.1007/978-3-319-69487-0_3
Download citation
DOI: https://doi.org/10.1007/978-3-319-69487-0_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-69486-3
Online ISBN: 978-3-319-69487-0
eBook Packages: Computer ScienceComputer Science (R0)