Matches in SemOpenAlex for { <https://semopenalex.org/work/W2052479399> ?p ?o ?g. }
- W2052479399 endingPage "1141" @default.
- W2052479399 startingPage "1119" @default.
- W2052479399 abstract "Navier–Cauchy format for Continuum Mechanics is based on the concept of contact interaction between sub-bodies of a given continuous body. In this paper, it is shown how—by means of the Principle of Virtual Powers—it is possible to generalize Cauchy representation formulas for contact interactions to the case of Nth gradient continua, that is, continua in which the deformation energy depends on the deformation Green–Saint-Venant tensor and all its N − 1 order gradients. In particular, in this paper, the explicit representation formulas to be used in Nth gradient continua to determine contact interactions as functions of the shape of Cauchy cuts are derived. It is therefore shown that (i) these interactions must include edge (i.e., concentrated on curves) and wedge (i.e., concentrated on points) interactions, and (ii) these interactions cannot reduce simply to forces: indeed, the concept of K-forces (generalizing similar concepts introduced by Rivlin, Mindlin, Green, and Germain) is fundamental and unavoidable in the theory of Nth gradient continua." @default.
- W2052479399 created "2016-06-24" @default.
- W2052479399 creator A5002209126 @default.
- W2052479399 creator A5024651201 @default.
- W2052479399 creator A5090428322 @default.
- W2052479399 date "2012-02-16" @default.
- W2052479399 modified "2023-09-28" @default.
- W2052479399 title "How contact interactions may depend on the shape of Cauchy cuts in Nth gradient continua: approach “à la D’Alembert”" @default.
- W2052479399 cites W1565791448 @default.
- W2052479399 cites W1566301624 @default.
- W2052479399 cites W1965135771 @default.
- W2052479399 cites W1968791854 @default.
- W2052479399 cites W1973875591 @default.
- W2052479399 cites W1976706152 @default.
- W2052479399 cites W1976953537 @default.
- W2052479399 cites W1977601222 @default.
- W2052479399 cites W1978455812 @default.
- W2052479399 cites W1981606385 @default.
- W2052479399 cites W1983497292 @default.
- W2052479399 cites W1984213817 @default.
- W2052479399 cites W1984542432 @default.
- W2052479399 cites W1987751071 @default.
- W2052479399 cites W1992989798 @default.
- W2052479399 cites W1993652570 @default.
- W2052479399 cites W1994477572 @default.
- W2052479399 cites W1996066859 @default.
- W2052479399 cites W1996193580 @default.
- W2052479399 cites W2000712498 @default.
- W2052479399 cites W2001174315 @default.
- W2052479399 cites W2001615093 @default.
- W2052479399 cites W2006782828 @default.
- W2052479399 cites W2011320035 @default.
- W2052479399 cites W2011655035 @default.
- W2052479399 cites W2013507002 @default.
- W2052479399 cites W2018584144 @default.
- W2052479399 cites W2018952756 @default.
- W2052479399 cites W2020664217 @default.
- W2052479399 cites W2023495095 @default.
- W2052479399 cites W2026640856 @default.
- W2052479399 cites W2026817780 @default.
- W2052479399 cites W2031113965 @default.
- W2052479399 cites W2033744015 @default.
- W2052479399 cites W2034699852 @default.
- W2052479399 cites W2036561062 @default.
- W2052479399 cites W2036906427 @default.
- W2052479399 cites W2039678167 @default.
- W2052479399 cites W2041158364 @default.
- W2052479399 cites W2042682843 @default.
- W2052479399 cites W2043784721 @default.
- W2052479399 cites W2045018581 @default.
- W2052479399 cites W2046113391 @default.
- W2052479399 cites W2046940040 @default.
- W2052479399 cites W2049376337 @default.
- W2052479399 cites W2050173246 @default.
- W2052479399 cites W2055155381 @default.
- W2052479399 cites W2060191637 @default.
- W2052479399 cites W2060643081 @default.
- W2052479399 cites W2063882799 @default.
- W2052479399 cites W2074738699 @default.
- W2052479399 cites W2077377790 @default.
- W2052479399 cites W2080797205 @default.
- W2052479399 cites W2081452007 @default.
- W2052479399 cites W2081686519 @default.
- W2052479399 cites W2084113519 @default.
- W2052479399 cites W2085850678 @default.
- W2052479399 cites W2088512651 @default.
- W2052479399 cites W2089312086 @default.
- W2052479399 cites W2090088835 @default.
- W2052479399 cites W2091520510 @default.
- W2052479399 cites W2091727318 @default.
- W2052479399 cites W2094173526 @default.
- W2052479399 cites W2094314816 @default.
- W2052479399 cites W2096913574 @default.
- W2052479399 cites W2111460055 @default.
- W2052479399 cites W2112782810 @default.
- W2052479399 cites W2116379499 @default.
- W2052479399 cites W2125239985 @default.
- W2052479399 cites W2135469983 @default.
- W2052479399 cites W2138987260 @default.
- W2052479399 cites W2145495813 @default.
- W2052479399 cites W2158093482 @default.
- W2052479399 cites W2262873643 @default.
- W2052479399 cites W2323196012 @default.
- W2052479399 cites W292704240 @default.
- W2052479399 cites W3123747035 @default.
- W2052479399 cites W4205424143 @default.
- W2052479399 cites W4213306718 @default.
- W2052479399 cites W4230201798 @default.
- W2052479399 cites W4231109978 @default.
- W2052479399 cites W4232832601 @default.
- W2052479399 cites W4238924628 @default.
- W2052479399 cites W4244577252 @default.
- W2052479399 cites W4246263967 @default.
- W2052479399 cites W4255831773 @default.
- W2052479399 cites W4302570161 @default.
- W2052479399 cites W433689088 @default.
- W2052479399 cites W436151006 @default.
- W2052479399 cites W605486176 @default.