Details
| Original language | English |
|---|---|
| Article number | 104092 |
| Journal | European Journal of Mechanics, A/Solids |
| Volume | 85 |
| Early online date | 29 Aug 2020 |
| Publication status | Published - Jan 2021 |
Abstract
The description of a problem involving the existence of an interface or of a strong discontinuity requires to solve partial differential equations on a moving domain, whose evolution is also unknown, leading to severe difficulties, especially when the interface undergoes topological changes. The solution becomes even more complex when the whole problem domain changes, such as in mechanical problems involving large deformations. In this context, the phase-field approach allows to easily reformulate the problem through the use of a continuous field variable mimicking the real physical discontinuity. In the present paper we take advantage of such an approach for the description of damage and failure of highly deformable strain rate-dependent materials, such as the elastomeric ones. By harnessing a statistical physics-based micromechanical model of the polymers chain network characterized by the capability to reorganize the distribution of its chain lengths in time, the behavior of a rate-dependent polymer can be simulated. The adopted physics-based approach, upscaled at the continuum level and combined with a phase-field approach, allows us to describe the damage and fracture occurring in this class of materials in the large deformations regime. Some examples are provided to demonstrate the reliability of the proposed model.
Keywords
- Damage, Elastomers, Fracture, Phase-field, Polymers, Visco-elasticity
ASJC Scopus subject areas
- Materials Science(all)
- General Materials Science
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: European Journal of Mechanics, A/Solids, Vol. 85, 104092, 01.2021.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Phase field approach for simulating failure of viscoelastic elastomers
AU - Brighenti, Roberto
AU - Rabczuk, Timon
AU - Zhuang, Xiaoying
N1 - Funding Information: The author(s) gratefully acknowledge the support of the German Science Foundation (DFG) under the grant. No. 418518589.
PY - 2021/1
Y1 - 2021/1
N2 - The description of a problem involving the existence of an interface or of a strong discontinuity requires to solve partial differential equations on a moving domain, whose evolution is also unknown, leading to severe difficulties, especially when the interface undergoes topological changes. The solution becomes even more complex when the whole problem domain changes, such as in mechanical problems involving large deformations. In this context, the phase-field approach allows to easily reformulate the problem through the use of a continuous field variable mimicking the real physical discontinuity. In the present paper we take advantage of such an approach for the description of damage and failure of highly deformable strain rate-dependent materials, such as the elastomeric ones. By harnessing a statistical physics-based micromechanical model of the polymers chain network characterized by the capability to reorganize the distribution of its chain lengths in time, the behavior of a rate-dependent polymer can be simulated. The adopted physics-based approach, upscaled at the continuum level and combined with a phase-field approach, allows us to describe the damage and fracture occurring in this class of materials in the large deformations regime. Some examples are provided to demonstrate the reliability of the proposed model.
AB - The description of a problem involving the existence of an interface or of a strong discontinuity requires to solve partial differential equations on a moving domain, whose evolution is also unknown, leading to severe difficulties, especially when the interface undergoes topological changes. The solution becomes even more complex when the whole problem domain changes, such as in mechanical problems involving large deformations. In this context, the phase-field approach allows to easily reformulate the problem through the use of a continuous field variable mimicking the real physical discontinuity. In the present paper we take advantage of such an approach for the description of damage and failure of highly deformable strain rate-dependent materials, such as the elastomeric ones. By harnessing a statistical physics-based micromechanical model of the polymers chain network characterized by the capability to reorganize the distribution of its chain lengths in time, the behavior of a rate-dependent polymer can be simulated. The adopted physics-based approach, upscaled at the continuum level and combined with a phase-field approach, allows us to describe the damage and fracture occurring in this class of materials in the large deformations regime. Some examples are provided to demonstrate the reliability of the proposed model.
KW - Damage
KW - Elastomers
KW - Fracture
KW - Phase-field
KW - Polymers
KW - Visco-elasticity
UR - http://www.scopus.com/inward/record.url?scp=85090706220&partnerID=8YFLogxK
U2 - 10.1016/j.euromechsol.2020.104092
DO - 10.1016/j.euromechsol.2020.104092
M3 - Article
AN - SCOPUS:85090706220
VL - 85
JO - European Journal of Mechanics, A/Solids
JF - European Journal of Mechanics, A/Solids
SN - 0997-7538
M1 - 104092
ER -