The Proceedings of The Computational Mechanics Conference
Online ISSN : 2424-2799
2024.37
Session ID : OS-1820
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A discussion of analytical methods for higher-order strain gradient plasticity theory
*Hiroki OGAWAMitsutoshi KURODA
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Abstract

To express effects of intrinsic material length scale, Aifantis (1984) proposed introduction of plastic strain gradient terms to the conventional yield function, and this class of theories has been studied for the past 40 years as strain gradient plasticity theories. The addition of a spatial gradients of plastic strain to the conventional yield function requires extra boundary conditions in principle, but there are several studies that have introduced plastic strain gradient effects with no consideration of the extra boundary conditions. It is necessary to investigate the validity of the solutions without extra boundary conditions. In the present study, a shear band problem is treated using finite element method, and convergence solutions with and without extra boundary conditions were compared. As a result, both solutions with and without consideration of the extra boundary conditions gave almost the same numerical results in the specific problem considered.

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© 2024 The Japan Society of Mechanical Engineers
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