MULTI-RESOLUTION ALGORITHM IN TOTAL LAGRANGIAN SMOOTHED PARTICLE HYDRODYNAMICS FOR SOLID DYNAMICS
Traditional finite element method approaches, although effective, frequently face substantial obstacles such as reliance on mesh, complexity in dealing with substantial deformations, and difficulties in achieving precise results on deformable boundaries and moving material interfaces. Hence, a highl...
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| Format: | Final Project |
| Language: | Indonesia |
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| Online Access: | https://digilib.itb.ac.id/gdl/view/82168 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | Traditional finite element method approaches, although effective, frequently face substantial obstacles such as reliance on mesh, complexity in dealing with substantial deformations, and difficulties in achieving precise results on deformable boundaries and moving material interfaces. Hence, a highly effective algorithm is suggested, which utilizes a total Lagrangian smoothed particle hydrodynamics approach to ensure the preservation of momentum and deformation gradient. This algorithm aims to enhance the efficiency of solid dynamics and crack modelling simulations. The suggested approach improves computational efficiency by enabling variable resolution in different sections of the computational domain. The method's performance is verified using both quantitative and qualitative analysis. The method's quantitative performance is evaluated by reconstructing polynomials up to periodic functions and solving the swinging plate problem in solid dynamics. The kernel and gradient reconstruction, as well as the displacement contours, demonstrate excellent agreement with the analytical results and references. The method's qualitative performance is evaluated through crack modelling problems, where the stress contours exhibit smooth results which indicate the algorithm did not initiate numerical oscillation. |
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