Linear Theory of Elasticity

By R. Kienzler, G. Herrmann. 2000

461 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/bf156e00db7577a95df944020d077ef540332f35

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In Biomedical Engineering

Citations in the corpus

Carleman estimates for the non-stationary Lamé system and the application to an inverse problem (2005, methodology): “Moreover the coefficients ρ, λ, µ satisfy ρ, λ, µ ∈ C2(Ω), ρ(x′) > 0, µ(x′) > 0, λ(x′) + µ(x′) > 0 for x′ ∈ Ω. (1.3) As for more details for the Lamé system, see for example, Chapter III of Duvaut and Lions [11] or Gurtin [14].”
STRONG UNIQUE CONTINUATION FOR THE LAMÉ SYSTEM OF ELASTICITY* (2001, background): “6 are classical in the case of constant Lame moduli (see [Gur72] for references), their use for the proof of the unique continuation property is more recent, [AITY98] , [EINT98] .”
Mindlin second-gradient elastic properties from dilute two-phase Cauchy-elastic composites Part I: Closed form expression for the effective higher-order constitutive tensor (2013, methodology): “The strain energy WCRVEðub } Þ stored in the RVE, when a quadratic displacement field ub } (45) is applied on its boundary @XRVE, is bounded by (see Gurtin, 1972)Z @XRVE rSAij niu b} j U C RVEðrSAÞ 6WCRVEðub } Þ 6WCRVEðeKAÞ; ðA:20Þ where eKA is a kinematically admissible (satisfying the kinematic…”
The structural performance of the periodic truss (2006, background): “The following discussion regarding stability and uniqueness is based upon Gurtin (1972, 1981), Marsden and Hughes (1994), Ogden (1997), Simo and Hughes (1998) and Han and Reddy (1999). The macroscopic strain energy density function W ðēÞ is convex, and the macroscopic stiffness tensor L̄ is pointwis”
On the characterizations of matrix fields as linearized strain tensor fields (2006, methodology): “Before describing the content of this paper, we first briefly review the genesis of the classical characterizations of matrix fields as linearized strain tensor fields, as well as their various subsequent extensions (for more historical details until 1972, see Gurtin [ 18 ]).”