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Analytical and experimental determination of the material intrinsic length scale of strain gradient plasticity theory from micro- and nano-indentation experiments

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TLDR
In this paper, a micromechanical model that assesses a nonlinear coupling between statistically stored dislocations (SSDs) and geometrically necessary dislocation (GNDs) is used to derive an analytical form for the deformation-gradient-related intrinsic length-scale parameter in terms of measurable microstructural physical parameters.
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This article is published in International Journal of Plasticity.The article was published on 2004-06-01. It has received 335 citations till now. The article focuses on the topics: Plasticity & Length scale.

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The peridynamic formulation for transient heat conduction

TL;DR: In this article, a peridynamic model for transient heat and mass transfer in fracture-prone bodies is proposed, which is valid when the body undergoes damage or evolving cracks.

Mechanism-based Strain Gradient Plasticity 를 이용한 나노 인덴테이션의 해석

TL;DR: In this paper, the Mechanism based Strain Gradient (MSG) plasticity is proposed to analyze the non-uniform deformation behavior in micro/nano scale.
Journal ArticleDOI

A plasticity and anisotropic damage model for plain concrete

TL;DR: In this article, a plastic-damage constitutive model for plain concrete is developed to account for different effects under tensile and compressive loadings, two damage criteria are used: one for compression and a second for tension such that the total stress is decomposed into tensile or compressive components.
Journal ArticleDOI

Gradient plasticity theory with a variable length scale parameter

TL;DR: In this article, a generalized gradient plasticity model with a non-fixed length scale parameter is proposed based on dislocation mechanics, which assesses the sensitivity of predictions to the way in which the local and non-local parts are coupled.
Journal ArticleDOI

Quantification of the effect of transformation-induced geometrically necessary dislocations on the flow-curve modelling of dual-phase steels

TL;DR: In this paper, the effect of transformation-induced geometrically necessary dislocations (GNDs) on the work-hardening behavior of dual-phase steel was investigated.
References
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Journal ArticleDOI

An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments

TL;DR: In this paper, the authors used a Berkovich indenter to determine hardness and elastic modulus from indentation load-displacement data, and showed that the curve of the curve is not linear, even in the initial stages of the unloading process.
Book

The mathematical theory of plasticity

Rodney Hill
TL;DR: In this paper, the solution of two-dimensional non-steady motion problems in two dimensions is studied. But the solution is not a solution to the problem in three dimensions.
Journal ArticleDOI

Indentation size effects in crystalline materials: A law for strain gradient plasticity

TL;DR: In this article, the indentation size effect for crystalline materials can be accurately modeled using the concept of geometrically necessary dislocations, which leads to the following characteristic form for the depth dependence of the hardness: H H 0 1+ h ∗ h where H is the hardness for a given depth of indentation, h, H 0 is a characteristic length that depends on the shape of the indenter, the shear modulus and H 0.
Book

The Hardness of Metals

David Tabor
TL;DR: Hardness measurements with conical and pyramidal indenters as mentioned in this paper have been used to measure the area of contact between solids and the hardness of ideal plastic metals. But they have not yet been applied to the case of spherical indenters.
Journal ArticleDOI

The deformation of plastically non-homogeneous materials

TL;DR: The geometrically necessary dislocations as discussed by the authors were introduced to distinguish them from the statistically storages in pure crystals during straining and are responsible for the normal 3-stage hardening.
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