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A rate‐type nonlinear viscoelastic–viscoplastic cyclic constitutive model for polymers: Theory and application
Author(s) -
Zhu Yilin,
Lu Fucong,
Yu Chao,
Kang Guozheng
Publication year - 2016
Publication title -
polymer engineering and science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.503
H-Index - 111
eISSN - 1548-2634
pISSN - 0032-3888
DOI - 10.1002/pen.24371
Subject(s) - viscoplasticity , viscoelasticity , creep , materials science , constitutive equation , stress relaxation , deformation (meteorology) , rheology , nonlinear system , stress (linguistics) , strain rate , isothermal process , relaxation (psychology) , polycarbonate , mechanics , composite material , thermodynamics , finite element method , physics , psychology , social psychology , linguistics , philosophy , quantum mechanics
A thermodynamically consistent rate‐type viscoelastic–viscoplastic constitutive model is developed in the framework of isothermal and small deformation to describe the nonlinear and time‐dependent deformation behaviors of polymers, e.g., ratchetting, creep, and stress relaxation. The model is proposed on the base of a one‐dimensional rheological model with several springs and dashpot elements. The strain is divided into viscoelastic and viscoplastic parts, and the stress is also decomposed into two components. Each stress component is further divided into elastic and viscoelastic sub‐components. The viscoelasticity is described by introducing pseudo potentials, and the ratchetting is considered by the viscoplastic flow which is derived by the codirectionality hypotheses. The capability of the proposed model to describe the nonlinear and time‐dependent deformation of polymers is then verified by comparing the simulations with the corresponding experimental results of polycarbonate (PC) polymer. It is shown that the nonlinear and time‐dependent stress–strain responses of the PC can be reasonably predicted by the proposed model. POLYM. ENG. SCI., 56:1375–1381, 2016. © 2016 Society of Plastics Engineers