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Element-Free Galerkin Implementation of Gradient Plasticity. Part I: Formulation and Application to 1D Strain Localization by I. Tsagrakis,; E.C. Aifantis, is a Engineering article available to read on EtoBox.

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This is the first part of a two-part article that focuses on a strain gradient plasticity implementation within the element-free Galerkin (EFG) framework. A flow theory of plasticity is used in which the yield condition does not only depend on the equivalent plastic strain, but also on the first and second gradient thereof. In the present part, the governing constitutive equations of this theory are discussed along with its EFG formulation for the solution of incremental boundary value problems. An arbitrary continuity of the shape functions can be obtained with the EFG method in a simple manner, which facilitates the implementation and comparison of gradient models. The one-dimensional tensile bar test is employed to study the properties of this formulation for an elastic-softening plastic material and harmonic wave analysis is carried out to investigate the effect of the gradient terms on the width of the plastic zone. The non-pointwise satisfaction of the yield condition, combined with the long-range nodal interaction caused by the EFG shape functions, results to nonproper convergence and stress oscillations in the plastic region. However, because of the non-local and higher-ord

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Author

I. Tsagrakis,; E.C. Aifantis,

Publisher

Walter de Gruyter GmbH

Published

2003

Language

EN

Field

Engineering (Physical Sciences)