Improved Continuous Models for Discrete Media

By I. Andrianov, J. Awrejcewicz, D. Weichert. 2010

140 citations recorded by the source corpus.

The paper focuses on continuous models derived from a discrete microstructure. Various continualization procedures that take into account the nonlocal interaction between variables of the discrete media are analysed.

Subfields: Computational Theory and Mathematics, Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/dd80c78a332d0cd4974ac34f11565ff4f598dc73

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In Computational Theory and Mathematics

In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

On nonconservativeness of Eringen’s nonlocal elasticity in beam mechanics: correction from a discrete-based approach (2014, methodology): “w = 0 (51) The pseudo-differential operator can be efficiently approximated by the Padé’s approximant (see for instance [28,29] or [30] for axial wave applications): 4 a2 sinh(2) (a 2 ∂x )”
Gradient elasticity in statics and dynamics: An overview of formulations, length scale identification procedures, finite element implementations and new results (2011, background): “(23) and (24) and suggested modifications that avoid instabilities, e.g. Collins (1981), Rubin et al. (1995), Chen and Fish (2001), Andrianov et al. (2003), Andrianov and Awrejcewicz (2008), Pichugin et al. (2008), Andrianov et al. (2010b).”