Updated Lagrangian Taylor-SPH method for elastic dynamic problems

Q4 Chemical Engineering Applied and Computational Mechanics Pub Date : 2022-01-01 DOI:10.24132/acm.2021.697
H. K. Serroukh, M. Mabssout
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引用次数: 1

Abstract

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.
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弹性动力问题的更新Lagrangian Taylor-SPH方法
本文讨论了求解固体力学动力学问题的配置无网格法——更新拉格朗日泰勒- sph法(UL-TSPH)的性质。对于弹性动力学问题,偏微分方程以应力和速度的混合形式表示。采用两组粒子来离散偏微分方程,避免了经典SPH公式固有的拉伸不稳定性。数值例子包括激波在弹性杆中的传播和受单轴拉伸的静止i型半无限裂纹板的数值例子,以评估所提出方法的性能。
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来源期刊
Applied and Computational Mechanics
Applied and Computational Mechanics Engineering-Computational Mechanics
CiteScore
0.80
自引率
0.00%
发文量
10
审稿时长
14 weeks
期刊介绍: The ACM journal covers a broad spectrum of topics in all fields of applied and computational mechanics with special emphasis on mathematical modelling and numerical simulations with experimental support, if relevant. Our audience is the international scientific community, academics as well as engineers interested in such disciplines. Original research papers falling into the following areas are considered for possible publication: solid mechanics, mechanics of materials, thermodynamics, biomechanics and mechanobiology, fluid-structure interaction, dynamics of multibody systems, mechatronics, vibrations and waves, reliability and durability of structures, structural damage and fracture mechanics, heterogenous media and multiscale problems, structural mechanics, experimental methods in mechanics. This list is neither exhaustive nor fixed.
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