Mechanics of cellular and other low-density materials

By R. Christensen. 2000

227 citations recorded by the source corpus.

Subfields: Mechanical Engineering, Polymers and Plastics

View Paper: https://www.semanticscholar.org/paper/777bb92998fa7d2527dab0f3776a83e2fae071ca

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Mechanical Engineering

In Polymers and Plastics

Citations in the corpus

Wave propagation characterization and design of two-dimensional elastic chiral metacomposite (2011, background): “The static behavior of the lattice/cellular solids has been intensively studied and fruitful results were found [5–7].”
The structural performance of the periodic truss (2006, background): “Indeed, in the “dilute limit” of low relative density, the Kagome lattice attains the Hashin-Shtrikman upper bound (Christensen, 2000; Hyun and Torquato, 2002; Torquato et al., 1998). Hutchinson and Fleck (2005) have recently explored the stiffness, strength and actuating properties of the Kagome tr”
Mechanical properties of lattice materials via asymptotic homogenization and comparison with alternative homogenization methods (2013, background): “Noteworthy contributions in the area of cellular materials are those of Gibson and Ashby [3], Masters and Evans [4], Christensen [5], and Wang and McDowell [6,25], which provide closed-form expressions of the effective mechanical properties.”
Multiscale isogeometric topology optimization for lattice materials (2017, methodology): “Several theoretical approaches using the notion of Representative Volume Element have been proposed in the literature to calculate the mechanical properties of a lattice [6-9].”
Fatigue design of lattice materials via computational mechanics: Application to lattices with smooth transitions in cell geometry (2013, methodology): “Theoretical, numerical, and experimental approaches can be used to homogenize the properties of a lattice [2,15,16,42–52].”
Topology optimization for functionally graded cellular composites with metamaterials by level sets (2018, background): “Moreover, cellular composites are flexible in tailoring specific effective properties by modifying their microscopic configurations rather than the constituent materials [12].”