Details
| Original language | English |
|---|---|
| Pages (from-to) | 1257-1274 |
| Number of pages | 18 |
| Journal | Computational mechanics |
| Volume | 66 |
| Issue number | 6 |
| Early online date | 13 Oct 2020 |
| Publication status | Published - Dec 2020 |
Abstract
The paper presents an assumed strain formulation over polygonal meshes to accurately evaluate the strain fields in nonlocal damage models. An assume strained technique based on the Hu-Washizu variational principle is employed to generate a new strain approximation instead of direct derivation from the basis functions and the displacement fields. The underlying idea embedded in arbitrary finite polygons is named as Polytopal composite finite elements (PCFEM). The PCFEM is accordingly applied within the framework of the nonlocal model of continuum damage mechanics to enhance the description of damage behaviours in which highly localized deformations must be captured accurately. This application is helpful to reduce the mesh-sensitivity and elaborate the process-zone of damage models. Several numerical examples are designed for various cases of fracture to discuss and validate the computational capability of the present method through comparison with published numerical results and experimental data from the literature.
Keywords
- Assumed strain, Continuum damage mechanics, Fracture, Nonlocal damage model, Polygonal FEM
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Ocean Engineering
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computational Theory and Mathematics
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Computational mechanics, Vol. 66, No. 6, 12.2020, p. 1257-1274.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Polytopal composite finite elements for modeling concrete fracture based on nonlocal damage models
AU - Huynh, Hai D.
AU - Natarajan, S.
AU - Nguyen-Xuan, H.
AU - Zhuang, Xiaoying
N1 - Funding Information: The support provided by RISE-project BESTOFRAC (734370)-H2020 and H2020 European Research Council (Grant No. 80205) is gratefully acknowledged.
PY - 2020/12
Y1 - 2020/12
N2 - The paper presents an assumed strain formulation over polygonal meshes to accurately evaluate the strain fields in nonlocal damage models. An assume strained technique based on the Hu-Washizu variational principle is employed to generate a new strain approximation instead of direct derivation from the basis functions and the displacement fields. The underlying idea embedded in arbitrary finite polygons is named as Polytopal composite finite elements (PCFEM). The PCFEM is accordingly applied within the framework of the nonlocal model of continuum damage mechanics to enhance the description of damage behaviours in which highly localized deformations must be captured accurately. This application is helpful to reduce the mesh-sensitivity and elaborate the process-zone of damage models. Several numerical examples are designed for various cases of fracture to discuss and validate the computational capability of the present method through comparison with published numerical results and experimental data from the literature.
AB - The paper presents an assumed strain formulation over polygonal meshes to accurately evaluate the strain fields in nonlocal damage models. An assume strained technique based on the Hu-Washizu variational principle is employed to generate a new strain approximation instead of direct derivation from the basis functions and the displacement fields. The underlying idea embedded in arbitrary finite polygons is named as Polytopal composite finite elements (PCFEM). The PCFEM is accordingly applied within the framework of the nonlocal model of continuum damage mechanics to enhance the description of damage behaviours in which highly localized deformations must be captured accurately. This application is helpful to reduce the mesh-sensitivity and elaborate the process-zone of damage models. Several numerical examples are designed for various cases of fracture to discuss and validate the computational capability of the present method through comparison with published numerical results and experimental data from the literature.
KW - Assumed strain
KW - Continuum damage mechanics
KW - Fracture
KW - Nonlocal damage model
KW - Polygonal FEM
UR - http://www.scopus.com/inward/record.url?scp=85092489254&partnerID=8YFLogxK
U2 - 10.1007/s00466-020-01898-y
DO - 10.1007/s00466-020-01898-y
M3 - Article
AN - SCOPUS:85092489254
VL - 66
SP - 1257
EP - 1274
JO - Computational mechanics
JF - Computational mechanics
SN - 0178-7675
IS - 6
ER -