JSME international journal. Ser. 1, Solid mechanics, strength of materials
Print ISSN : 0914-8809
Large Deformation Analysis of Elastic Plane Block using the Green-Rate Constitutive Equation
Osamu WATANABETakashi HARADA
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1992 Volume 35 Issue 4 Pages 413-419

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Abstract

In large deformation analysis, the constitutive equation utilized will play an important role in finite-element solutions. Most of the finite-element codes employ hypoelasticity based on the Jaumann stress rate for largely deformed elastoplastic behavior of metal alloys. The present paper shows the finite-element formulation for large deformation analysis in the elastic range using the different alternate objective stress rate of Green, which has not been studied in detail in previous works from the viewpoint of numerical analysis. Three kinds of shear deformations of a two-dimensional block in plane strain conditions are taken as examples to demonstrate the effects of the constitutive equations employed, and also discussed are the effects of different kinds of the isoparametric shape functions and the Gaussian integration techniques projected on the finite-element solutions.

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