A new class of extremal composites

By Ole Sigmund. 2000

358 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/752122f0cfccba57caaf98e01d836f9e715be3ba

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In Civil and Structural Engineering

In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Effective properties of the octet-truss lattice material (2001, background): “Readers are referred to Sigmund (1999) for details on these optimal microstructures.”
Design of maximum permeability material structures (2007, background): “, bulk modulus, Young’s modulus) are generally closed-walled structures and thus have zero permeability when the solid phase itself is impermeable [13,31].”
Exploiting Additive Manufacturing Infill in Topology Optimization for Improved Buckling Load (2016, methodology): “We apply a triangular infill structure that is assumed to exactly reach the HS upper bound [14].”
Design of three dimensional isotropic microstructures for maximized stiffness and conductivity (2007, background): “5(a) resembles the isotropic, maximum bulk modulus structure presented by Sigmund (2000). Table 3 Effective properties of the five optimized structures with V1 = 1 2 shown in Fig.”
Buckling strength topology optimization of 2D periodic materials based on linearized bifurcation analysis (2018, methodology): “The method has been successfully applied to multiple design problems, including materials with extremal thermal properties [26], extremal elastic properties such as negative Poisson’s ratio [27, 28, 29] or maximal bulk and shear modulus [30, 31], and for materials with vibration mitigation abilities”
Topological design of structures and composite materials with multiobjectives (2007, methodology): “Existing studies have exhaustively investigated either structural (Xie and Steven, 1993; Bendsoe and Kikuchi, 1988; Sethian and Wiegmann, 2000; Wang et al., 2003) or material (Sigmund, 1994b; Sigmund, 1995; Sigmund and Torquato, 1997; Larsen et al., 1997; Sigmund, 2000; Gibiansky and Sigmund, 2000”
Modelling topology optimization problems as linear mixed 0–1 programs (2003, background): “These techniques have successfully been applied in a number of applications including minimum compliance topology optimization, see e.g. Petersson and Sigmund [10] and Borrvall and Petersson [11], mechanism design problems, see e.g. Sigmund [12] and Pedersen, Buhl and Sigmund [13], material design p”
Design of graded lattice structure with optimized mesostructures for additive manufacturing (2018, background): “On the other hand, designing the geometry of a unit cell can generate cellular materials of tailored properties [8], which can further be used for infilling the macrostructure [9].”