The Proceedings of the Materials and Mechanics Conference
Online ISSN : 2424-2845
2019
Session ID : OS0103
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A Closed Form Expression of Resultant Force for 3-Dimensional Body Force Method Analysis
*Akihide SAIMOTO
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CONFERENCE PROCEEDINGS FREE ACCESS

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Abstract

An expression of resultant force over a planar polygonal area due to a presence of isolated force acting in a homogeneous isotropic infinite elastic media was discussed. In body force method, it has been proven empirically that if one uses a resultant force instead of a traction at a point, the numerical accuracy of the obtained solution is improved dramatically. However, in 3D analysis, numerical double integral is required in order to calculate the resultant force over specified area in general. In the present study, by using the equilibrium condition, the closed form expression of a resultant force over arbitrary planar polygonal area was obtained.

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© 2019 The Japan Society of Mechanical Engineers
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