Study on meshless triple-reciprocity boundary element method
| Project/Area Number |
16560055
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Engineering fundamentals
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| Research Institution | Kinki University |
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Principal Investigator |
OCHIAI Yoshihiro Kink University, Professor, 理工学部, 教授 (70268465)
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| Co-Investigator(Kenkyū-buntansha) |
落合 芳博 近畿大学, 理工学部, 教授
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| Project Period (FY) |
2004 – 2005
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| Project Status |
Completed (Fiscal Year 2005)
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| Budget Amount *help |
¥3,600,000 (Direct Cost: ¥3,600,000)
Fiscal Year 2005: ¥1,400,000 (Direct Cost: ¥1,400,000)
Fiscal Year 2004: ¥2,200,000 (Direct Cost: ¥2,200,000)
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| Keywords | Boundary Element Method / Meshless Method / Plasticity / Stress Analysis / Functional Gradient Material / Large Deformation |
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| Research Abstract |
In general, internal cells are required to solve problems including a domain effect term by a conventional boundary element method (BEM). However, in this case, the merit of BEM, which is ease of data preparation, is lost. Triple-reciprocity BEM can solve problems having a domain effect term without the use of internal cells. In this research, triple-reciprocity BEM is applied to several problems.
1.It is shown that two-dimensional large plastic deformation problems can be solved by the triple-reciprocity BEM without the use of internal cells. An initial strain formulation is adopted and the initial strain distribution is interpolated using boundary integral equations. In this method, only boundary elements are remeshed.
2.It is shown that three-dimensional elastoplastic problems can be solved by the triple-reciprocity BEM without the use of internal cells. An initial strain formulation is adopted and the initial strain distribution is interpolated using boundary integral equations.
3.Two
… More
-dimensional initial-boundary value problems in the linear theory of transient heat conduction are solved. A pure boundary element formulation is developed systematically. The time-dependent fundamental solution of the diffusion operator is employed together with higher order polyharmonic fundamental solutions.
4.In general, internal cells are required to solve elastic problems with centrifugal load in non-homogeneous materials by a conventional boundary element method. In this study, it is shown that two-dimensional elastic problems with centrifugal load in non-homogeneous materials with variable mass density can be solved by the triple-reciprocity BEM without the use of internal cells.
5.Homogeneous heat conduction can be easily solved by means of the boundary element method. However, domain integrals are generally necessary to solve the heat conduction problem of functionally gradient materials. It is shown that the two-dimensional heat conduction problem of functionally gradient materials can be solved approximately by the triple-reciprocity BEM without a domain integral. Less
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Report
(3 results)
Research Products
(23 results)
