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Size effects in elastic-plastic functionally graded materials
Tittu Varghese Mathew, , Emilio Martínez-Pañeda
Published in Elsevier Ltd
2018
Volume: 204
   
Pages: 43 - 51
Abstract
We develop a strain gradient plasticity formulation for composite materials with spatially varying volume fractions to characterize size effects in functionally graded materials (FGMs). The model is grounded on the mechanism-based strain gradient plasticity theory and effective properties are determined by means of a linear homogenization scheme. Several paradigmatic boundary value problems are numerically investigated to gain insight into the strengthening effects associated with plastic strain gradients and geometrically necessary dislocations (GNDs). The analysis of bending in micro-size functionally graded foils shows a notably stiffer response with diminishing thickness. Micro-hardness measurements from indentation reveal a significant increase with decreasing indenter size. And large dislocation densities in the vicinity of a crack substantially elevate stresses in cracked FGM components. We comprehensively assess the influence of the length scale parameter and material gradation profile to accurately characterize the micro-scale response and identify regimes of GNDs relevance in FGMs. © 2018 Elsevier Ltd
About the journal
JournalData powered by TypesetComposite Structures
PublisherData powered by TypesetElsevier Ltd
ISSN02638223
Open AccessYes
Concepts (17)
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    Boundary value problems
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    Cracks
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    Elastoplasticity
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    Finite element method
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    Fracture
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    Microhardness
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    Plasticity
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    Single crystals
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    Geometrically necessary dislocations
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    HOMOGENIZATION SCHEME
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    LENGTH SCALE PARAMETER
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    MECHANISM-BASED STRAIN GRADIENT PLASTICITIES
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    MICRO-SCALE
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    MICROHARDNESS MEASUREMENT
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    PLASTIC STRAIN GRADIENTS
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    STRAIN-GRADIENT PLASTICITY
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    Functionally graded materials