Journal of Japan Society of Civil Engineers, Ser. A2 (Applied Mechanics (AM))
Online ISSN : 2185-4661
ISSN-L : 2185-4661
Journal of Applied Mechanics Vol.19 (Special Feature)
APPLICATION OF THE METHOD OF MANUFACTURED SOLUTIONS TO FINITE ELEMENT ANALYSIS OF HYPERELASTIC LARGE DEFORMATION PROBLEMS
Takahiro YAMADA
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2016 Volume 72 Issue 2 Pages I_277-I_284

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Abstract

The method of manufactured solution (MMS) proposed by Roache et al. is widely used to verify numerical codes in fluid dynamics. In this methods, second derivatives of given solutions or spatial derivatives of stresses derived from given solutions are required to calculate body forces and hence it has not been popular in solid mechanics. The authors proposed the method of nearby problems, which includes the calculation process of body forces similar to that in MMS, to the finite element analysis of solid structures. In this work, this approach is applied to MMS for the finite element analysis of large deformation problems of hyperelasticity.

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© 2016 by Japan Society of Civil Engineers
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