2016 Fiscal Year Final Research Report
A 3D LATTICE SPRING MODEL FOR SIMULATION ON STATIC AND DYNAMIC DEFORMATION
| Project/Area Number |
26420482
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Geotechnical engineering
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| Research Institution | Tottori University |
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Principal Investigator |
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Keywords | 3次元格子ばね法 / 弾性係数 / ポアソン比 / ばね係数 / 変形 / 進行性破壊 / 剛体回転 |
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| Outline of Final Research Achievements |
An alternative three-dimensional lattice spring numerical model, in which matter is discretised into a system of mass points, is developed for the study of rock-like materials. The model includes a normal spring and a shear spring for each pair of lattice points. The deformation of the shear spring is evaluated by using the local strain. In this method, to obtain the local strain, the rotation-related term in the relative displacement vector is calculated by the Euler equation for the rotation of imaginal rigid sphere. Relationships between the stiffness of the springs and the macro material elastic constants of the matter, e.g. the Young modulus and the Poisson’s ration, are derived. The explicit-finite difference scheme is adopted to solve the system of equation of motion. Through numerical simulations, it is concluded that this three-dimensional numerical model is one of possible method to analyze deformation and failure not only static but also dynamic failure of rocks.
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| Free Research Field |
地盤工学
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