DeepAI AI Chat
Log In Sign Up

Generalized smoothed particle hydrodynamics with overset methods in total Lagrangian formulations

05/18/2021
by   Huachao Deng, et al.
0

This study proposes a generalized coordinates based smoothed particle hydrodynamics (GSPH) method with overset methods using a Total Lagrangian (TL) formulation for large deformation and crack propagation problems. In the proposed GSPH, the physical space is decomposed into multiple domains, each of which is mapped to a local coordinate space (generalized space) to avoid coordinate singularities as well as to flexibly change the spatial resolution. The smoothed particle hydrodynamics (SPH) particles are then non-uniformly, e.g., typically in the boundary-conforming way, distributed in the physical space while they are defined uniformly in each generalized space similarly to the normal SPH method, which are numerically related by a coordinate transformation matrix. By solving a governing equation in each generalized space, the shape and size of the SPH kernel can be spatially changed in the physical space so that a spatial resolution is adaptively varied a priori depending on the deformation characteristics, and thus, a low-cost calculation with the less number of particles is achieved in complex shape structures.

READ FULL TEXT

page 1

page 2

page 3

page 4

02/05/2021

A simple artificial damping method for total Lagrangian smoothed particle hydrodynamics

In this paper, we present a simple artificial damping method to enhance ...
03/02/2020

A Hybrid Lagrangian-Eulerian Method for Topology Optimization

We propose LETO, a new hybrid Lagrangian-Eulerian method for topology op...
04/04/2019

Numerical Simulation of Metal Machining Process with Eulerian and Total Lagrangian SPH

This paper presents numerical simulations of metal machining processes w...
07/04/2021

Efficient and Accurate Adaptive Resolution for Weakly-Compressible SPH

In this paper we propose an accurate, and computationally efficient meth...
01/24/2019

A Total Lagrangian SPH Method for Modelling Damage and Failure in Solids

An algorithm is proposed to model crack initiation and propagation withi...