A novel Volume-Compensated Particle method (VCPM) for elasticity and plasticity analysis

Hailong Chen, Yongming Liu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A new Volume-Compensated Particle model (VCPM) is proposed for the general solution of elasticity and plasticity problems, which only requires the determination of uniaxial constitutive laws between particles. First, the entire simulation domain is discretized into mass particles. Pair-wise potential between particles and a multi-body potential among many neighboring particles are introduced for the volume conservation (i.e. Poisson's effect) under general loading conditions. Following this, the discussion for the determination of potential coefficients under elasticity is given and it is observed that the introduced multi-body potential term compensate the solid volumetric deformation using the classical lattice theory. Next, the discussion is extended to plasticity conditions and the determination of model parameters is discussed in details. Many classical solid mechanics problems are used to verify the proposed VCPM methodology. Finally, some conclusions and future work are given based on the proposed study.

Original languageEnglish (US)
Title of host publication55th AIAA/ASMe/ASCE/AHS/SC Structures, Structural Dynamics, and Materials Conference
DOIs
Publication statusPublished - 2014
Event55th AIAA/ASMe/ASCE/AHS/SC Structures, Structural Dynamics, and Materials Conference - SciTech Forum and Exposition 2014 - National Harbor, MD, United States
Duration: Jan 13 2014Jan 17 2014

Other

Other55th AIAA/ASMe/ASCE/AHS/SC Structures, Structural Dynamics, and Materials Conference - SciTech Forum and Exposition 2014
CountryUnited States
CityNational Harbor, MD
Period1/13/141/17/14

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ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Mechanics of Materials
  • Building and Construction
  • Architecture

Cite this

Chen, H., & Liu, Y. (2014). A novel Volume-Compensated Particle method (VCPM) for elasticity and plasticity analysis. In 55th AIAA/ASMe/ASCE/AHS/SC Structures, Structural Dynamics, and Materials Conference https://doi.org/10.2514/6.2014-0997