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The effective stress function algorithm for pressure‐dependent plasticity applied to hot isostatic pressing
Author(s) -
Svoboda Ales,
Lindgren LarsErik,
Oddy Alan S.
Publication year - 1998
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19981030)43:4<587::aid-nme441>3.0.co;2-7
Subject(s) - viscoplasticity , creep , constitutive equation , compressibility , tangent modulus , materials science , plasticity , stress (linguistics) , cauchy stress tensor , hot isostatic pressing , tangent , effective stress , critical state soil mechanics , mathematics , modulus , mechanics , mathematical analysis , thermodynamics , geotechnical engineering , physics , finite element method , geology , geometry , composite material , linguistics , philosophy , sintering
An algorithm for unconditionally stable and accurate integration of elasto‐viscoplastic pressure‐dependent constitutive model is presented. Rate form constitutive equations of thermal‐elastoviscoplastic type with compressibility take into account the changes in relative density. The algorithm computes the deviatoric and volumetric creep strains by finding the value of the effective stress which satisfies the functional relationship, the effective stress function. Thus, one non‐linear scalar equation is solved to find the unknown volumetric and deviatoric components of creep strain tensor. The tangent modulus is evaluated consistent with the integration algorithm. The application of the method to the simulation of hot isostatic pressing of metal powder is shown. The paper presents the solution of the verification problem and comparison with the experimental result. © 1998 John Wiley & Sons, Ltd.