Open AccessYield condition and dissipation function for porous materials
Author(s) -
Aleksander Szwed
Publication year - 2018
Publication title -
autobusy
Language(s) - English
Resource type - Journals
eISSN - 2450-7725
pISSN - 1509-5878
DOI - 10.24136/atest.2018.477
Subject(s) - yield (engineering) , dissipation , von mises yield criterion , plasticity , porous medium , function (biology) , transformation (genetics) , porosity , mathematics , materials science , mechanics , mathematical analysis , thermodynamics , physics , finite element method , composite material , chemistry , biochemistry , evolutionary biology , biology , gene
A yield condition was proposed in this paper and associated dissipation function was derived via singular Legendre transformation. As a result, an explicit form of the dissipation function was obtained, which can be used for dual formulation of perfect plasticity model. The three-parameter yield condition enables continuous transition from the Drucker-Prager to Huber-Mises yield conditions by appropriate selection of free parameters. Calibration of the free parameters based on typical experimental tests was discussed. Based on the proposed yield function, a constitutive model of elastic-plastic material was given. The model can be used for modelling porous metals and other frictional materials.