| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
The objective of the present study is to establish a meta-modeling theory, in order to indicate superiority of solid element FE analysis. Using a Lagrangian of a continuum, we prove that it is possible to make various modeling (posing a mathematical problem) by restring the argument of the Lagrangian and taking variational with respect to the restricted argument. This is the base of the meta-modeling theory.
The meta-modeling theory enables us to use various numerical analysis methods, each of which is to solve a distinct modeling. It is proved that solid element FEM analysis provides an exact solution of a continuum. This implies that other numerical analysis methods such as structure element FE analysis is an approximation of the solid element FE analysis. Comparison of a solid element EF analysis with structure element FE analysis is meaningless in the view point of the meta-modeling theory.
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