On foundations of the theory of elastic media with microstructure

Inclusions and inhomogeneities in strain gradient elasticity with couple stresses and related problems

“…Pioneering work in this direction can be traced to Toupin (1962), Mindlin (1964Mindlin ( , 1965, Krumhansl (1968), and Eringen and Edelen (1972). Other works of note that have appeared are due to Kunin (1982Kunin ( , 1983, Ru and Aifantis (1993), Gutkin and Aifantis (1996), Aifantis (2003), and Gutkin (2000). In particular, the latter two papers provide comprehensive review of strain gradient theory in the context of defects.…”

A novel atomistic approach to determine strain-gradient elasticity constants: Tabulation and comparison for various metals, semiconductors, silica, polymers and the (Ir) relevance for nanotechnologies

“…Pioneering work in this direction can be traced to Toupin (1962), Koiter (1964), Mindlin (1964Mindlin ( , 1965 and Krumhansl and Kroner (1968). Some other representative contributions are: Eringen and Edelen (1972), Kunin (1982Kunin ( , 1984, Kleinert (1989); Reid and Gooding (1992), Ru and Aifantis (1993), Aifantis (1999), Lam et al (2003), Zhang and Sharma (2005a, b), and Park and Gao (2006).…”

‘Explicit’ and ‘implicit’ non-local continuous descriptions for a plate with circular inclusion in tension

“…Since classical (local) theory of elasticity is incapable of capturing the size effects [1][2][3][4][5], and direct discrete modelling techniques are not practical due to their computational expense [6][7][8][9][10], enriched non-classical continuum theories [11][12][13][14][15][16] have been often proposed in the literature. Among them, the micropolar (Cosserat) theory [17][18][19] and Eringen's nonlocal theory [16,20,21], both of which incorporate size effects associated with the material's internal structure by different principles [1][2][3][4][5][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25], will be the main object of this study.…”