2020 Fiscal Year Annual Research Report
Mesoscale modeling for disclinations toward a theory for kink and material strengthening
Publicly Offered Research
| Project Area | Materials science on mille-feullie structure -Developement of next-generation structural materials guided by a new strengthen principle- |
|---|
| Project/Area Number |
19H05131
|
|---|
| Research Institution | Kyushu University |
|---|
Principal Investigator |
Cesana Pierluigi 九州大学, マス・フォア・インダストリ研究所, 准教授 (60771532)
|
|---|
| Project Period (FY) |
2019-04-01 – 2021-03-31
|
| Keywords | Disclinations / Kink formation / Calculus of Variations / Solid Mechanics |
|---|
| Outline of Annual Research Achievements |
Developed a numerical code based on the Finite Element Method for a micro-plasticity model of metal alloys (elastic crystals). Computed numerical solutions to uniaxial traction tests of rectangular structures with square or hexagonal lattice symmetries. Discovered that kinks emerge due to interplay of structural vs. material instabilities and kink morphologies strongly depend on lattice symmetry and aspect ratio. Developed an analytical theory to describe self-similar microstructures in elastic crystals as the solutions to differential inclusion problems in non-linear elasticity. As an application, obtained exact constructions and energy estimates of elastic deformations causing disclinations. Developed the first mathematically rigorous theory for the modeling of planar wedge disclinations by characterizing the Gamma-limits of a discrete model on the triangular lattice. Computed energies and lattice displacements causing disclination and analyzed their behavior as the lattice spacing vanishes, thus characterizing the energetics of large samples with disclinations. Computed exact solutions to a fourth order model for surface diffusion and obtained exact effective energies in soft polymers with low order states.
|
| Research Progress Status |
令和2年度が最終年度であるため、記入しない。
|
| Strategy for Future Research Activity |
令和2年度が最終年度であるため、記入しない。
|
