PSI - Issue 35

Kai Friebertshauser et al. / Procedia Structural Integrity 35 (2022) 159–167

167

K. Friebertsha¨user and M. Werner and K. Weinberg / Structural Integrity Procedia 00 (2021) 000–000

9

Algorithm 1 Time integration with velocity-verlet algorithm Require: n = 0; u = 0; ˙ u = 0; ¨ u = 0; b = 0; L u = 0 1: ˙ u , b ← initial conditions 2: for all time steps n do 3: for all material points k ∈ B do 4: ˙ u n + 1 2 k = u k n + 1 / 2 ∆ t ¨ u n k 5: ˙ u n + 1 2 k , b n + 1 k ← boundary conditions 6: u n + 1 k = u n k + ∆ t ˙ u n + 1 2 k 7: L n + 1 u , k ← evaluate Eq. (6) 8: ¨ u n + 1 k = 1 / ρ k L n + 1 u , k + b n + 1 k 9: ˙ u n + 1 k = ˙ u n + 1 2 k + 1 / 2 ∆ t ¨ u n + 1 k

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