Open AccessOn the application of SPH to solid mechanics
Author(s) -
A. V. Shutov,
V. S. Klyuchantsev
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1268/1/012077
Subject(s) - hyperelastic material , computation , smoothed particle hydrodynamics , finite strain theory , tensor (intrinsic definition) , finite element method , boundary value problem , nonlinear system , computer science , mathematics , cauchy stress tensor , constitutive equation , field (mathematics) , mechanics , mathematical analysis , physics , algorithm , geometry , structural engineering , engineering , quantum mechanics , pure mathematics
We analyze the applicability of the smooth particle hydrodynamics (SPH) to the solution of boundary value problems involving large deformation of solids. The main focus is set on such issues as the reduction of artificial edge effects by implementing corrected kernels and their gradients, accurate and efficient computation of the deformation gradient tensor, evaluation of the internal forces from the given stress field. For demonstration purposes, a hyperelastic body of neo-Hookean type and a visco-elastic body of Maxwell type are considered; the formulation of the Maxwell material is based on the approach of Simo and Miehe (1992). For the implementation of constitutive relations efficient and robust numerical schemes are used. A solution for a series of test problems is presented. The performance of the implemented algorithms is assessed by checking the preservation of the total energy of the system. As a result, a functional combination of SPH-techniques is identified, which is suitable for problems involving large strains, rotations and displacements coupled to inelastic material behaviour. The accuracy of the SPH-computations is assessed using nonlinear FEM as a benchmark.