Details
| Original language | English |
|---|---|
| Article number | 104112 |
| Journal | Mechanics of materials |
| Volume | 165 |
| Early online date | 20 Nov 2021 |
| Publication status | Published - Feb 2022 |
Abstract
The present contribution considers the application of micropolar continuum theory to predict the microbuckling strength of microbuckling problems in long fiber reinforced composites and to extend simulations into the collapse regime. The approach considers a homogenized description at a coarse length scale where fiber and matrix phases are not individually resolved, but are represented indirectly via an effectively equivalent homogenized solid. The salient characteristic of this approach is its superior numerical efficiency over a fine-scale micromechanical representation where fibers and matrix would need to be discretized separately. A disadvantage of conventionally homogenized models, however, is the circumstance that fiber curvature is not accounted for. Hence, the local fiber bending stiffness cannot be preserved in the homogenization process and the strain localization stage of microbuckling problems is rendered ill-posed. Micropolar homogenization rectifies this deficiency by introducing additional rotational degrees of freedom to account for curvature strain. The present contribution distinguishes itself from earlier micropolar homogenization approaches by adapting a Total-Lagrangian finite strain plasticity theory for micropolar continua to the microbuckling problem under consideration here. From this theoretical basis, a constitutive model and a finite element formulation are derived, and the extra parameters introduced by the micropolar solid are identified.
Keywords
- A Polymer–matrix composites (PMCs), B Non-linear behavior, B Strength, C Buckling, C Computational mechanics
ASJC Scopus subject areas
- Materials Science(all)
- General Materials Science
- Physics and Astronomy(all)
- Instrumentation
- Engineering(all)
- Mechanics of Materials
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In: Mechanics of materials, Vol. 165, 104112, 02.2022.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A micropolar approach to microbuckling problems in unidirectionally reinforced polymer composites
AU - Daum, B.
AU - Rolfes, R.
PY - 2022/2
Y1 - 2022/2
N2 - The present contribution considers the application of micropolar continuum theory to predict the microbuckling strength of microbuckling problems in long fiber reinforced composites and to extend simulations into the collapse regime. The approach considers a homogenized description at a coarse length scale where fiber and matrix phases are not individually resolved, but are represented indirectly via an effectively equivalent homogenized solid. The salient characteristic of this approach is its superior numerical efficiency over a fine-scale micromechanical representation where fibers and matrix would need to be discretized separately. A disadvantage of conventionally homogenized models, however, is the circumstance that fiber curvature is not accounted for. Hence, the local fiber bending stiffness cannot be preserved in the homogenization process and the strain localization stage of microbuckling problems is rendered ill-posed. Micropolar homogenization rectifies this deficiency by introducing additional rotational degrees of freedom to account for curvature strain. The present contribution distinguishes itself from earlier micropolar homogenization approaches by adapting a Total-Lagrangian finite strain plasticity theory for micropolar continua to the microbuckling problem under consideration here. From this theoretical basis, a constitutive model and a finite element formulation are derived, and the extra parameters introduced by the micropolar solid are identified.
AB - The present contribution considers the application of micropolar continuum theory to predict the microbuckling strength of microbuckling problems in long fiber reinforced composites and to extend simulations into the collapse regime. The approach considers a homogenized description at a coarse length scale where fiber and matrix phases are not individually resolved, but are represented indirectly via an effectively equivalent homogenized solid. The salient characteristic of this approach is its superior numerical efficiency over a fine-scale micromechanical representation where fibers and matrix would need to be discretized separately. A disadvantage of conventionally homogenized models, however, is the circumstance that fiber curvature is not accounted for. Hence, the local fiber bending stiffness cannot be preserved in the homogenization process and the strain localization stage of microbuckling problems is rendered ill-posed. Micropolar homogenization rectifies this deficiency by introducing additional rotational degrees of freedom to account for curvature strain. The present contribution distinguishes itself from earlier micropolar homogenization approaches by adapting a Total-Lagrangian finite strain plasticity theory for micropolar continua to the microbuckling problem under consideration here. From this theoretical basis, a constitutive model and a finite element formulation are derived, and the extra parameters introduced by the micropolar solid are identified.
KW - A Polymer–matrix composites (PMCs)
KW - B Non-linear behavior
KW - B Strength
KW - C Buckling
KW - C Computational mechanics
UR - http://www.scopus.com/inward/record.url?scp=85120382283&partnerID=8YFLogxK
U2 - 10.1016/j.mechmat.2021.104112
DO - 10.1016/j.mechmat.2021.104112
M3 - Article
AN - SCOPUS:85120382283
VL - 165
JO - Mechanics of materials
JF - Mechanics of materials
SN - 0167-6636
M1 - 104112
ER -