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Phase-Field Fracture Modeling of Polymeric Materials Considering Thermo-Viscoelastic Constitutive Behavior at Finite Strains

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Advances in Polymer Science

Part of the book series: Advances in Polymer Science

Abstract

Phase-field modeling has been intensively studied in the recent past and has been recognized as an established method for fracture analysis over the last decade. An increasing number of researchers has scientific interests in this methodology due to the main advantage that it does not depend on any explicit criterion for fracture evolution. In the meantime, the simulation results also show good agreement comparing to experimental evidence. For the majority of polymers, both elastic and viscous behavior are investigated simultaneously. The latter phenomenon naturally leads to rate-dependent response for both deformation and fracture aspects. Furthermore, polymeric materials are also very sensitive to temperature loading, which presents a volumetric expansion and shrinking effect. In this contribution, a thermo-viscoelastic rheological model based on multiplicative decomposition of the deformation gradient is coupled to phase-field modeling to investigate temperature-dependent and rate-dependent fracture within polymeric materials. Regarding the phase-field driving force, only the elastic strain energy potential is supposed to evolve fracture. It comes from both the equilibrium and non-equilibrium branches. The formulation is consistently derived and implemented into an in-house coding platform. Several representative numerical studies demonstrate the capabilities of the present model. Last, a summary with related findings and potential perspectives close the paper.

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Authors and Affiliations

  1. Ansys Germany GmbH, Weimar, Germany

    Bo Yin

  2. Institute for Structural Analysis, Technische Universität Dresden, Dresden, Germany

    Le Zhang & Michael Kaliske

Authors
  1. Bo Yin
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  2. Le Zhang
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  3. Michael Kaliske
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Correspondence to Michael Kaliske .

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Yin, B., Zhang, L., Kaliske, M. (2024). Phase-Field Fracture Modeling of Polymeric Materials Considering Thermo-Viscoelastic Constitutive Behavior at Finite Strains. In: Advances in Polymer Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/12_2024_173

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  • DOI: https://doi.org/10.1007/12_2024_173

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