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Xiangyu-Hu committed Sep 19, 2024
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Expand Up @@ -12,7 +12,7 @@ This blog is from some parts from the [Journal of Computational Physics](https:/

More than two decades ago, it was found the numerical simulations of typical elastic dynamics problems using updated Lagrangian smoothed particle hydrodynamics (ULSPH) may lead to numerical instability.

![Tensor-instability](/SPHinXsys/assets/img/tensor-instability.jpg)
![Tensor-instability](/SPHinXsys/assets/img/tensor-instability.jpg){height="350" style="display: block; margin: 0 auto" }
<center>Fig. 1. Illustration for (a) no numerical instabilities, (b) non-physical fractures and (c) zigzag pattern in ULSPH simulations of 2D oscillating plates. The particles are colored with von Mises stress.</center>

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