Open AccessUpdated Lagrangian Taylor-SPH method for elastic dynamic problems
Author(s) -
Hamza Karim Serroukh,
M. Mabssout
Publication year - 2022
Publication title -
applied and computational mechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.129
H-Index - 4
eISSN - 2336-1182
pISSN - 1802-680X
DOI - 10.24132/acm.2021.697
Subject(s) - discretization , collocation (remote sensing) , taylor series , meshfree methods , partial differential equation , mechanics , dynamic problem , smoothed particle hydrodynamics , instability , bar (unit) , shock (circulatory) , mathematical analysis , mathematics , classical mechanics , physics , computer science , mathematical optimization , finite element method , medicine , machine learning , meteorology , thermodynamics
This paper presents a discussion on the properties of the collocation meshfree method, the Updated Lagrangian Taylor-SPH (UL-TSPH), for dynamic problems in solid mechanics. The PDEs are written in mixed form in terms of stress and velocity for the elastodynamics problems. Two sets of particles are used to discretize the partial differential equations, resulting on avoiding the tensile instability inherent to classical SPH formulations. Numerical examples ranging from propagation of a shock wave in an elastic bar to a stationary Mode-I semi-Infinite cracked plate subjected to uniaxial tension are used to assess the performance of the proposed method.