TY - GEN

T1 - Solving elasto-viscoplastic problems by smoothed particle hydrodynamics

AU - Shutov, Alexey V.

AU - Klyuchantcev, Vladislav S.

PY - 2020/4/1

Y1 - 2020/4/1

N2 - Smoothed particle hydrodynamics (SPH) is a meshlesss Lagrangian particle method. It is suitable for numerical analysis of structural components involving complex geometrically nonlinear constitutive equations; both fluid-like and solid-like types of behaviour can be simulated. The current study focuses on techniques allowing for increased accuracy of computations of elasto-viscoplastic problems at finite strains. Apart from the use of corrected weighting kernels, an accurate computation of reaction forces is discussed. As a benchmark, inhomogeneous tension of plates under plane strain and plane stress conditions is considered. The mechanical response is defined by hyperelastic and visco-elastoplastic relations. Converged numerical results obtained by the finite element method (FEM) are considered as a reference solution. Linear convergence of the SPH procedure to the reference solution is detected. It is shown that by application of refined methods a suitable accuracy can be achieved using a relatively small number of particles.

AB - Smoothed particle hydrodynamics (SPH) is a meshlesss Lagrangian particle method. It is suitable for numerical analysis of structural components involving complex geometrically nonlinear constitutive equations; both fluid-like and solid-like types of behaviour can be simulated. The current study focuses on techniques allowing for increased accuracy of computations of elasto-viscoplastic problems at finite strains. Apart from the use of corrected weighting kernels, an accurate computation of reaction forces is discussed. As a benchmark, inhomogeneous tension of plates under plane strain and plane stress conditions is considered. The mechanical response is defined by hyperelastic and visco-elastoplastic relations. Converged numerical results obtained by the finite element method (FEM) are considered as a reference solution. Linear convergence of the SPH procedure to the reference solution is detected. It is shown that by application of refined methods a suitable accuracy can be achieved using a relatively small number of particles.

KW - STRAIN

KW - SPH

UR - http://www.scopus.com/inward/record.url?scp=85083004114&partnerID=8YFLogxK

U2 - 10.1063/5.0003500

DO - 10.1063/5.0003500

M3 - Conference contribution

AN - SCOPUS:85083004114

T3 - AIP Conference Proceedings

BT - 28th Russian Conference on Mathematical Modelling in Natural Sciences

A2 - Matveenko, Valeriy P.

A2 - Trusov, Peter V.

A2 - Yants, Anton Yu

A2 - Faerman, Vladimir A.

PB - American Institute of Physics Inc.

T2 - 28th Russian Conference on Mathematical Modelling in Natural Sciences, RuMoNaS 2019

Y2 - 2 October 2019 through 5 October 2019

ER -