Modeling fracture in polymeric material using phase field method based on critical stretch criterion

Aurojyoti, P.; Rajagopal, Amirtham; Reddy, K.S.

doi:10.1016/j.ijsolstr.2023.112216

Cited by 5 publications

(2 citation statements)

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“…Furthermore, a higher‐order phase field theory has also been introduced for hyperelastic rubbers to enhance numerical efficiency 65 . Recently, there has been a study considering the degradation of the fracture toughness based on a critical chain stretch value, which is derived using tensile test experimental data 66 . In another study, the material viscosity dependent on damage and deformation states has been accounted for, by considering the untangling of chains during fracture to free the constraints on polymer chain reptation from nearby chains 67 .…”

Section: Introductionmentioning

confidence: 99%

“…65 Recently, there has been a study considering the degradation of the fracture toughness based on a critical chain stretch value, which is derived using tensile test experimental data. 66 In another study, the material viscosity dependent on damage and deformation states has been accounted for, by considering the untangling of chains during fracture to free the constraints on polymer chain reptation from nearby chains. 67 Furthermore, an adaptive phase-field method facilitated by variable-node elements has been proposed by utilizing a combined phase field and energetic mesh refinement criterion.…”

Section: Introductionmentioning

confidence: 99%

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A multiscale anisotropic polymer network model coupled with phase field fracture

Arunachala,

Abrari Vajari,

Neuner

et al. 2024

Numerical Meth Engineering

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The study of polymers has continued to gain substantial attention due to their expanding range of applications, spanning essential engineering fields to emerging domains like stretchable electronics, soft robotics, and implantable sensors. These materials exhibit remarkable properties, primarily stemming from their intricate polymer chain network, which, in turn, increases the complexity of precisely modeling their behavior. Especially for modeling elastomers and their fracture behavior, accurately accounting for the deformations of the polymer chains is vital for predicting the rupture in highly stretched chains. Despite the importance, many robust multiscale continuum frameworks for modeling elastomer fracture tend to simplify network deformations by assuming uniform behavior among chains in all directions. Recognizing this limitation, our study proposes a multiscale fracture model that accounts for the anisotropic nature of elastomer network responses. At the microscale, damage in the chains is assumed to be driven by both the chain's entropy and the internal energy due to molecular bond distortions. In order to bridge the stretching in the chains to the macroscale deformation, we employ the maximal advance path constraint network model, inherently accommodating anisotropic network responses. As a result, chains oriented differently can be predicted to exhibit varying stretch and, consequently, different damage levels. To drive macroscale fracture based on damages in these chains, we utilize the micromorphic regularization theory, which involves the introduction of dual local‐global damage variables at the macroscale. The macroscale local damage variable is obtained through the homogenization of the chain damage values, resulting in the prediction of an isotropic material response. The macroscale global damage variable is subjected to nonlocal effects and boundary conditions in a thermodynamically consistent phase field continuum formulation. Moreover, the total dissipation in the system is considered to be mainly due to the breaking of the molecular bonds at the microscale. To validate our model, we employ the double‐edge notched tensile test as a benchmark, comparing simulation predictions with existing experimental data. Additionally, to enhance our understanding of the fracturing process, we conduct uniaxial tensile experiments on a square film made up of polydimethylsiloxane (PDMS) rubber embedded with a hole and notches and then compare our simulation predictions with the experimental observations. Furthermore, we visualize the evolution of stretch and damage values in chains oriented along different directions to assess the predictive capacity of the model. The results are also compared with another existing model to evaluate the utility of our model in accurately simulating the fracture behavior of rubber‐like materials.

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Section: Introductionmentioning

confidence: 99%