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05.02.08 Applied Mechanics
My Challenge on the Development of a Mixed Variational Formulation
in Solid Mechanics >>詳細 |
04.04.27 応用数理学会
有限要素法に賭ける夢 >>詳細 |
03.01.20 Applied Mechanics
・Retrospectives on My Studies of Solid Mechanics (I) >>詳細
・Retrospectives on My Studies of Solid Mechanics (II) >>詳細 |
02.12.25 WCCM V
Development of a Nodeless and Consistent Finite Element Method >>詳細
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02.12.08 爺々争論
東京大学造船学科同窓会への登校原稿。
我々が培ってきた脳産物は永遠に残すべきであり、次世代若手に伝えなければならない。
>>詳細
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03.03.05 Some Considerations on the Finite Element Method
Using the divergence theorem in elasticity it can be shown that twice of the strain energy to be stored in an elastic body is equal to sum of work done (potential) due to not only a given body force, surface traction acting on the stress boundary but also the enforced displacement on the displacement boundary.It was found using this equation of energy conservation that a new energy principles can be proposed by which principle of the minimum potential energy and complementary energy can be unified if the displacement and stresses are the true solutions.It is also discussed in this paper that using this new unified principle all existing methods of solution including displacement, equilibrium (force method) and mixed methods belong to any one of eight possible methods of solution.Two unique method of solution can be proposed among 8 methods where continuity of the element state vector (displacement and tractions) on the element boundaries are not a priori required so that intractable mesh generation problem in the current finite element method can be considerably relieved.Furthermore it was found that the lower bound solution can be always obtained using Trefftzﾕs method which is the fifth method of solution among eight. |
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