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Rate‐dependent fracture simulation of viscoelastic material by the phase‐field method
Author(s) -
Yin Bo,
Kaliske Michael
Publication year - 2019
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201900335
Subject(s) - viscoelasticity , fracture (geology) , materials science , mechanics , rheology , strain energy release rate , elastic energy , strain rate , phase (matter) , displacement (psychology) , brittleness , work (physics) , brittle fracture , field (mathematics) , displacement field , composite material , thermodynamics , mathematics , finite element method , physics , psychology , quantum mechanics , pure mathematics , psychotherapist
The phase‐field method has been studied for fracture analysis during the last decade. Based on the classical GRIFFITH‐type brittle fracture, good agreements are obtained by comparing to other numerical methods as well as experiments. Furthermore, phase‐field modelling does not depend on any explicit criterion and gets rid of discontinuous displacement tracing. Regarding most elastomers exhibiting both elastic and viscous behaviour simultaneously, it yields a rate‐dependent mechanical response. Investigated by experiments, the fracture process is shown to be rate‐dependent as well. In this work, a viscoelastic rheological model based on REESE & GOVINDJEE [1] is coupled to the phase‐field approach to investigate rate‐dependent fracture evolution within elastomers. The fracture mechanism is based on the volumetric‐isochoric split and the driving force for fracture is defined to be the elastic strain energy potential by both the equilibrium and the non‐equilibrium branches. Representative numerical models are simulated and related findings and potential subsequent perspectives are summarized to close the paper.