Systematic design of phononic band–gap materials and structures by topology optimization

By Ole Sigmund, Jakob Søndergaard Jensen. 2003

770 citations recorded by the source corpus.

Subfields: Biomedical Engineering, Civil and Structural Engineering, Mechanics of Materials

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Citations in the corpus

Design of phononic materials/structures for surface wave devices using topology optimization (2007, background): “Hussein et al. (2003, 2005, 2006a) created building blocks of periodic materials to guide waves, while Sigmund and Jensen (2003) , Jensen and Sigmund (2004), and Diaz et al. (2005) developed a topology optimization approach to accomplish this.”
Minimization of sound radiation from vibrating bi-material structures using topology optimization (2007, background): “…gaps (see, e.g., Diaz and Kikuchi 1992; Bendsøe and Diaz 1994; Kosaka and Swan 1999; Krog and Olhoff 1999; Pedersen 2000; Sigmund 2001; Jensen 2003; Sigmund and Jensen 2003; Olhoff and Du 2005; Du and Olhoff 2006; Diaz et al. 2005; Jensen and Pedersen 2006; Halkjær et al. 2006); J. Du :N. Olhoff…”
Tailoring Structure‐Borne Sound through Bandgap Engineering in Phononic Crystals and Metamaterials: A Comprehensive Review (2022, background): “[411] O. Sigmund, J. Søndergaard Jensen, Philos.”
Optimal location of controllers for the one-dimensional wave equation (2013, background): “[15,18,24,28]), very few theoretical results and mathematical proofs do exist.”
A critical review of established methods of structural topology optimization (2009, background): “…presented in 1990 (Rozvany and Zhou 1991). b The corresponding exact analytical truss solution (Lewinski et al. 1994) (Buhl et al. 2000), multi-physics actuators (Sigmund 2001b), photonic crystal structures (Jensen and Sigmund 2004, 2005), and phononic band gap materials (Sigmund and Jensen 2003).”
Dispersive elastodynamics of 1D banded materials and structures: Design (2006, methodology): “For example, Díaz and Kikuchi [11] addressed eigenvalue problems, and Sigmund and Jensen [2] designed waveguides.”
Topology optimization of acoustic–structure interaction problems using a mixed finite element formulation (2007, background): “Multiphysics problems, where coupled analyses are required, are promising applications due to the inherent difficulties in obtaining good designs intuitively, and thus recently more research has been conducted in this area [2,3,4,5,6].”
Theoretical and Experimental Study of Locally Resonant and Bragg Band Gaps in Flexural Beams Carrying Periodic Arrays of Beam-Like Resonators (2013, methodology): “To achieve broadband band gaps, a proven method is using topology optimization techniques to maximize band gap sizes [19–24].”
Morphology-based black and white filters for topology optimization (2007, methodology): “Recently, the topology optimization method has been applied to the design of wave-propagation problems based on band gap structures both for phononic and photonic applications (Sigmund and Jensen, 2003; Jensen and Sigmund, 2004).”
Optimum design of band-gap beam structures (2012, methodology): “The effect of smoothing by including damping is often used in the topology optimization of band-gap structures (Sigmund and Jensen, 2003).”