An SPH formulation for general plate and shell structures with finite deformation and large rotation

by   Dong Wu, et al.

In this paper, we propose a reduced-dimensional smoothed particle hydrodynamics (SPH) formulation for quasi-static and dynamic analyses of plate and shell structures undergoing finite deformation and large rotation. By exploiting Uflyand-Mindlin plate theory, the present surface-particle formulation is able to resolve the thin structures by using only one layer of particles at the mid-surface. To resolve the geometric non-linearity and capture finite deformation and large rotation, two reduced-dimensional linear-reproducing correction matrices are introduced, and weighted non-singularity conversions between the rotation angle and pseudo normal are formulated. A new non-isotropic Kelvin-Voigt damping is proposed especially for the both thin and moderately thick plate and shell structures to increase the numerical stability. In addition, a shear-scaled momentum-conserving hourglass control algorithm with an adaptive limiter is introduced to suppress the mismatches between the particle position and pseudo normal and those estimated with the deformation gradient. A comprehensive set of test problems, for which the analytical or numerical results from literature or those of the volume-particle SPH model are available for quantitative and qualitative comparison, are examined to demonstrate the accuracy and stability of the present method.


page 7

page 13

page 36

page 38

page 40

page 42


A micropolar shell formulation for hard-magnetic soft materials

Hard-magnetic soft materials (HMSMs) are particulate composites that con...

Large Angle based Skeleton Extraction for 3D Animation

In this paper, we present a solution for arbitrary 3D character deformat...

Applying Dynamic Model for Multiple Manoeuvring Target Tracking Using Particle Filtering

In this paper, we applied a dynamic model for manoeuvring targets in SIR...

On the stability of the generalized, finite deformation correspondence model of peridynamics

A class of peridynamic material models known as constitutive corresponde...

Real-time Deformation of Soft Tissue Internal Structure with Surface Profile Variations using Particle System

Intraoperative observation of tissue internal structure is often difficu...

Generalized smoothed particle hydrodynamics with overset methods in total Lagrangian formulations

This study proposes a generalized coordinates based smoothed particle hy...

A simple artificial damping method for total Lagrangian smoothed particle hydrodynamics

In this paper, we present a simple artificial damping method to enhance ...

Please sign up or login with your details

Forgot password? Click here to reset