Size effects in elastic-plastic functionally graded materials
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Publication Date
2018Journal Title
Composite Structures
ISSN
0263-8223
Publisher
Elsevier BV
Volume
204
Pages
43-51
Type
Article
Metadata
Show full item recordCitation
Mathew, T., Natarajan, S., & Martínez-Pañeda, E. (2018). Size effects in elastic-plastic functionally graded materials. Composite Structures, 204 43-51. https://doi.org/10.1016/j.compstruct.2018.07.048
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 the 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.
Sponsorship
Ministry of Economy and Competitiveness of Spain through Grant MAT2014-58738-C3
People Programme (Marie Curie Actions) of the European Union’s Seventh Framework Programme (FP7/2007–2013) under REA Grant agreement n 609405 (COFUNDPostdocDTU)
Identifiers
External DOI: https://doi.org/10.1016/j.compstruct.2018.07.048
This record's URL: https://www.repository.cam.ac.uk/handle/1810/284754
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