Abstract
A method of numerical plate testing (NPT) for composite plates with in-plane periodic heterogeneity is proposed. In the two-scale boundary value problem, a thick plate model is employed at macroscale, while three-dimensional solids are assumed at microscale. The NPT, which is nothing more or less than the homogenization analysis, is in fact a series of microscopic analyses on a unit cell that evaluates the macroscopic plate stiffnesses. The specific functional forms of microscopic displacements are originally presented so that the relationship between the macroscopic resultant stresses/moments and strains/curvatures to be consistent with the microscopic equilibrated state. In order to perform NPT by using general-purpose FEM programs, we introduce control nodes to facilitate the multiple-point constraints for in-plane periodicity. Numerical examples are presented to verify that the proposed method of NPT reproduces the plate stiffnesses in classical plate and laminate theories. We also perform a series of homogenization, macroscopic, and localization analyses for an in-plane heterogeneous composite plate to demonstrate the performance of the proposed method.
| Original language | English |
|---|---|
| Pages (from-to) | 111-137 |
| Number of pages | 27 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 105 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2016 Jan 13 |
| Externally published | Yes |
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Keywords
- Composite plate
- Homogenization
- Multiscale analysis
- Numerical plate testing
ASJC Scopus subject areas
- Numerical Analysis
- Engineering(all)
- Applied Mathematics
Cite this
Numerical plate testing for linear two-scale analyses of composite plates with in-plane periodicity. / Terada, Kenjiro; Hirayama, Norio; Yamamoto, Koji; Muramatsu, Mayu; Matsubara, Seishiro; Nishi, Shin nosuke.
In: International Journal for Numerical Methods in Engineering, Vol. 105, No. 2, 13.01.2016, p. 111-137.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Numerical plate testing for linear two-scale analyses of composite plates with in-plane periodicity
AU - Terada, Kenjiro
AU - Hirayama, Norio
AU - Yamamoto, Koji
AU - Muramatsu, Mayu
AU - Matsubara, Seishiro
AU - Nishi, Shin nosuke
PY - 2016/1/13
Y1 - 2016/1/13
N2 - A method of numerical plate testing (NPT) for composite plates with in-plane periodic heterogeneity is proposed. In the two-scale boundary value problem, a thick plate model is employed at macroscale, while three-dimensional solids are assumed at microscale. The NPT, which is nothing more or less than the homogenization analysis, is in fact a series of microscopic analyses on a unit cell that evaluates the macroscopic plate stiffnesses. The specific functional forms of microscopic displacements are originally presented so that the relationship between the macroscopic resultant stresses/moments and strains/curvatures to be consistent with the microscopic equilibrated state. In order to perform NPT by using general-purpose FEM programs, we introduce control nodes to facilitate the multiple-point constraints for in-plane periodicity. Numerical examples are presented to verify that the proposed method of NPT reproduces the plate stiffnesses in classical plate and laminate theories. We also perform a series of homogenization, macroscopic, and localization analyses for an in-plane heterogeneous composite plate to demonstrate the performance of the proposed method.
AB - A method of numerical plate testing (NPT) for composite plates with in-plane periodic heterogeneity is proposed. In the two-scale boundary value problem, a thick plate model is employed at macroscale, while three-dimensional solids are assumed at microscale. The NPT, which is nothing more or less than the homogenization analysis, is in fact a series of microscopic analyses on a unit cell that evaluates the macroscopic plate stiffnesses. The specific functional forms of microscopic displacements are originally presented so that the relationship between the macroscopic resultant stresses/moments and strains/curvatures to be consistent with the microscopic equilibrated state. In order to perform NPT by using general-purpose FEM programs, we introduce control nodes to facilitate the multiple-point constraints for in-plane periodicity. Numerical examples are presented to verify that the proposed method of NPT reproduces the plate stiffnesses in classical plate and laminate theories. We also perform a series of homogenization, macroscopic, and localization analyses for an in-plane heterogeneous composite plate to demonstrate the performance of the proposed method.
KW - Composite plate
KW - Homogenization
KW - Multiscale analysis
KW - Numerical plate testing
UR - http://www.scopus.com/inward/record.url?scp=84955374880&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84955374880&partnerID=8YFLogxK
U2 - 10.1002/nme.4970
DO - 10.1002/nme.4970
M3 - Article
AN - SCOPUS:84955374880
VL - 105
SP - 111
EP - 137
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
SN - 0029-5981
IS - 2
ER -