Solving elasto-viscoplastic problems by smoothed particle hydrodynamics

Результат исследования: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференциинаучнаярецензирование


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.

Язык оригиналаанглийский
Название основной публикации28th Russian Conference on Mathematical Modelling in Natural Sciences
РедакторыValeriy P. Matveenko, Peter V. Trusov, Anton Yu Yants, Vladimir A. Faerman
ИздательAmerican Institute of Physics Inc.
Число страниц7
ISBN (электронное издание)9780735419704
СостояниеОпубликовано - 1 апр 2020
Событие28th Russian Conference on Mathematical Modelling in Natural Sciences, RuMoNaS 2019 - Perm, Российская Федерация
Продолжительность: 2 окт 20195 окт 2019

Серия публикаций

НазваниеAIP Conference Proceedings
ISSN (печатное издание)0094-243X
ISSN (электронное издание)1551-7616


Конференция28th Russian Conference on Mathematical Modelling in Natural Sciences, RuMoNaS 2019
СтранаРоссийская Федерация


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