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

01/24/2019
by   Md Rushdie Ibne Islam, et al.
0

An algorithm is proposed to model crack initiation and propagation within the total Lagrangian Smoothed Particle Hydrodynamics (TLSPH) framework. TLSPH avoids the two main deficiencies of conventional SPH, i.e., tensile instability and inconsistency, by making use of the Lagrangian kernel and gradient correction, respectively. In the present approach, the support domain of a particle is modified, where it only interacts with its immediately neighbouring particles. A virtual link defines the level of interaction between each particle pair. The state of the virtual link is determined by damage law or cracking criterion. The virtual link approach allows easy and natural modelling of cracking surfaces without explicit cracking treatments such as particle splitting, field enrichment or visibility criterion. The performance of the proposed approach is demonstrated via a few numerical examples of both brittle and ductile failure under impact loading.

READ FULL TEXT

page 17

page 18

page 21

page 22

page 24

research
05/05/2019

Numerical Modelling of Crack Initiation, Propagation and Branching under Dynamic Loading

In this paper crack initiation, propagation and branching phenomena are ...
research
07/13/2019

A stabilized total-Lagrangian SPH method for large deformation and failure in geomaterials

Conventional smoothed particle hydrodynamics based on Eulerian kernels (...
research
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...
research
06/09/2023

A high-order fully Lagrangian particle level-set method for dynamic surfaces

We present a fully Lagrangian particle level-set method based on high-or...
research
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 ...
research
05/18/2021

Generalized smoothed particle hydrodynamics with overset methods in total Lagrangian formulations

This study proposes a generalized coordinates based smoothed particle hy...
research
04/17/2023

A time-step-robust algorithm to compute particle trajectories in 3-D unstructured meshes for Lagrangian stochastic methods

The purpose of this paper is to propose a time-step-robust cell-to-cell ...

Please sign up or login with your details

Forgot password? Click here to reset