Maio 2014 vol. 1 num. 1 - 10th World Congress on Computational Mechanics
Full Article - Open Access.
DEFORMATION AND FRACTURE ANALYSIS OF ELASTIC SOLIDS BASED ON A PARTICLE METHOD
In the present paper, the linear elastodynamics and fracture are simulated by using a Lagrangian particle method. The numerical model is based on the Moving Particle Semiimplicit Method (MPS) that was first developed to simulate the behavior of incompressible fluids by Koshizuka et al. (1995). The main strategy of the MPS is to replace the differential operators of the governing equations by discrete differential operators on irregular nodes, which are derived from a model of interaction between particles. In general, as a meshless method, it is very effective for the simulation of hydrodynamics problems involving free-surfaces, fragmentation and merging, and problems involving large deformation, complex shaped bodies and moving boundaries.In the last decade, the MPS method was extended to the analysis of elastic and elastic-plastic structures making possible the analysis of dynamic systems and the coupling of hydrodynamics and structure analysis to investigate hydro-elasticity problems. The implementation showed in this paper is an improved version of the simulator developed in the Numerical Offshore Tank (TPN/USP). In case of 3D analysis, instead of Euler Angles, the angles are determined by Hamilton’s quaternion algebra to avoid the singularities. On the other hand, a more generic contact searching algorithm is adopted to allow the investigation of collision and fracture amount multiple solids. The qualitative and quantitative validations of the method are carried out herein considering static and dynamic cases subjected to different boundary conditions by comparing the numerical results from MPS with Finite Element Method (FEM) and analytical solutions.
Palavras-chave: Elastic solid, Fracture, Particle method, MPS, Moving particle semi-implicit,
-  Baraff D.,“An introduction to physically based modeling: rigid body simulation I - Unconstrained rigid body dynamics”. Lecture Note of SIGGRAPH97. 1997.
-  Belytschko T., Lu Y. Y., Gu L.,“Element free Galerkin methods”. Int. J. Num. Meth. Eng. 37, 229-256, 1994.
-  Chen Y., Lee J. D., Eskandarian A.,“Meshless Methods in Solid Mechanics”. Springer. 97-106, 2006.
-  Chikazawa Y., Koshizuka S., Oka Y.,“A particle method for elastic and visco-plastic structures and fluid-structures interactions”. Comput. Mech. 27, 97-106, 2001.
-  Cundall P. A., Strack O. D. L.,“A discrete numerical model for granular assemblies”. Geotechnique. 29, 47-65, 1979.
-  Isshiki H., “Discrete differential operators on irregular nodes (DDIN)”. Int. J. Num. Meth. Eng. 8, 1323-1343, 2011.
-  Koshizuka S., Tamako H., Oka Y., “A particle method for incompressible viscous flow with fluid fragmentation”. Comput. Fluid Dynamics J. 4, 29-46, 1995.
-  Koshizuka S., Song M., Oka Y., “A particle method for three-dimensional elastic analysis”. Proc. 6th WCCM in Conjunction with APCOM. 2004.
-  Koshizuka S., Nobe A., Oka Y., “Numerical analysis of breaking waves using the moving particle semi-implicit method”. Int. J. Num. Meth. Fluids. 26, 751-769, 1998.
-  Li S., Liu W. K., “Meshfree and particle methods and their applications”. Comput. Fluid Dynamics J. 55, 1-34, 2002.
-  Lucy L., “A numerical approach to the testing of the fission hypothesis”. Astronomical J. 82, 1013-1024, 1977.
-  Monagham J. J., “An Introduction to SPH”. Comput. Phys. Commun. 48, 89-96, 1988.
-  Robortella M. S., Cheng L., Nishimoto K., “Dynamic analysis of elastic structures by using moving particle semi-implicit method (mps)”. The Proc. 20th Int. Congress Mech. Eng. (COBEM2009). 2009.
-  Song M., Koshizuka S., Oka Y., “Dynamic analysis of elastic solids by mps method”. Int. Conf. Global Env. Adv. Nuclear Power Plants,(GENES4/ANP 2003). 27, 2003.
Junior, R. A. Amaro; Cheng, L. Y.; Tsukamoto, M. M.; "DEFORMATION AND FRACTURE ANALYSIS OF ELASTIC SOLIDS BASED ON A PARTICLE METHOD", p. 4427-4439 . In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1].
São Paulo: Blucher,
ISSN 2358-0828, DOI 10.5151/meceng-wccm2012-19892
últimos 30 dias | último ano | desde a publicação