Mathematical Physics - Volume II - Numerical Methods

Chapter 5. Review of Development of the Smooth Particle Hydrodynamics (SPH) Method

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Figure 5.31: Analytical solution and the nu merical results for longitudinal displacement at re sponse time t = 3 / 2 · L / c e ; SPH-experiment 2.

Figure 5.32: : Internal energy for 0 ≤ t ≤ 2 · L / c ; SPH experiment 2.

Figure 5.33: Localisation of damage within a limited area 4 h in size ( h = λ · 200 [ mm ] / 201) around the bar symmetry plane at response time t = 3 / 2 · L / c e (fringe level: damage [-]. SPH experiment 2. Figure 5.33 shows the size of the damage zone, at response time t = 3 / 2 · L / c e , obtained in the SPH experiment 2. The three models have the same interparticle distance ∆ p = 200 [ mm ] / 201; however, the smoothing distance h was varied and consequently the number of neighbouring particles increased with increase of λ .