A stochastic micromechanical model for elastic properties of functionally graded materials
By Sharif Rahman, Arindam Chakraborty. 2007
81 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/c818fe96cbc9de24c6396e60c29a96b053208404
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Theory and Mathematics
- Arindam Chakraborty
- Albert C. To
- Xiaolei Yin
- Sharif Rahman
- C. McVeigh
- Wing Kam Liu
- Byeng Dong Youn
- Zhimin Xi
In Mechanics of Materials
- Arindam Chakraborty
- Albert C. To
- Xiaolei Yin
- C. McVeigh
- Wing Kam Liu
- Sharif Rahman
- Licheng Guo
- Lin-zhi Wu
Citations in the corpus
- An interaction integral method for 3D curved cracks in nonhomogeneous materials with complex interfaces (2010, background): “…and mechanical durability, while actual FGMs are also two or multi-phase particulate composites in which material composition and microstructure vary spatially (Rahman and Chakraborty, 2007) or the volume fraction of particles varies in one or several direc- tions (Birman and Byrd, 2007).”
- Statistical volume element method for predicting microstructure–constitutive property relations (2008, background): “In [30], a random field was introduced to represent the spatial variation of phase volume fractions in functionally graded materials.”
- Investigation of mixed-mode stress intensity factors for nonhomogeneous materials using an interaction integral method (2009, background): “…and mechanical durability, while in fact, FGMs are also two- or multiphase particulate composites in which material composition and microstructure vary spatially (Rahman and Chakraborty, 2007) or the volume fraction of particles varies in one or several directions (Birman and Byrd, 2007).”
- The stochastic finite element method: Past, present and future (2009, unknown): “[6,38,39,54,60,73,75,76,84,90,97,114,117,129,152,180,193].”
- Stochastic multiscale models for fracture analysis of functionally graded materials (2008, methodology): “Defined on the probability triple (X,F,P) and endowed with the expectation operator E, the particle volume fraction /p(x) can be modeled as an inhomogeneous (non-stationary), non-Gaussian, random field, which has mean lp(x) and standard deviation rp(x) [15].”