DEFORMATION AND FRACTURE ANALYSIS OF ELASTIC SOLIDS BASED ON A PARTICLE METHOD

DEFORMATION AND FRACTURE ANALYSIS OF ELASTIC SOLIDS BASED ON A PARTICLE METHOD

Junior, R. A. Amaro; Cheng, L. Y.; Tsukamoto, M. M.

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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.

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.

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DOI: 10.5151/meceng-wccm2012-19892

Referências bibliográficas

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Como citar:

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, 2014.
ISSN 23580828, DOI 10.5151/meceng-wccm2012-19892