2018 粒子法構造解析における幾何学的非線形の取り扱いについて(S04-3 FEM/メッシュフリー法/粒子法とその関連技術(3),S04 FEM/メッシュフリー法/粒子法とその関連技術)

概要

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MPS (Moving Particle Semi-implicit) method has been developed for solid and shell dynamics. Since the particle methods are expected to apply to large deformation and fracture, geometrical non-linearity is studied for the MPS methods. Quaternion is employed as the nonlinear rotation angle system. Finite rigid-body rotation can be removed from the deformation gradient tensor using the quaternion. Strain is defined using the right stretch tensor involving the first-order sensitivity. When the quaternion of each particle is implicitly calculated, Hamiltonian can be derived and energy conservation is achieved by employing symplectic schemes.
一般社団法人日本機械学会の論文
2006-09-15