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A periodic relaxation method for computing microstructures
Applied Numerical Mathematics, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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DNA Localization and Stretching on Periodically Microstructured Lipid Membranes
Physical Review Letters, 2006We study the conformational behavior of DNA molecules adsorbed on cationic-lipid membranes that are supported on grooved, one-dimensionally periodic microstructured surfaces. We reveal a striking ability of these periodically structured membranes to stretch DNA coils.
Marion B, Hochrein +3 more
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Physics of composite media with a periodic microstructure
Physica A: Statistical Mechanics and its Applications, 1994Abstract A composite medium with a periodic microstructure can have some amazing physical properties. We will discuss some of those, including two which have only recently been discovered. We review the phenomenon of sharp resonances which are predicted to occur when a periodic array of identical, small (compared to the wavelength and skin depth ...
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On finite deformation of composites with periodic microstructure
Mechanics of Materials, 1990Abstract By incorporating the periodic Green function, which is obtained from the instantaneous nominal moduli of the matrix, in the method of periodic structures (MPS), and utilizing the extremum principles of Hashin and Shtrikman (1962), the overall moduli of a rate-independent elastic-plastic matrix reiforced with periodic distribution of ...
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Mechanics of planar periodic microstructures
2007The deformation of two-dimensional periodically patterned elastomeric sheets has been shown to trigger interesting pattern changes that are both repeatable and predictable (Bertoldi et al., 2007). Here, both square and hexagonal lattices of these sheets under axial compression are investigated both with empty voids, and also with inclusions introduced ...
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Dynamic continualization of mechanical metamaterials with quasi-periodic microstructure
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering SciencesThis article focuses on characterizing a class of quasi-periodic metamaterials created through the repeated arrangement of an elementary cell in a fixed direction. The elementary cell consists of two building blocks made of elastic materials and arranged according to the generalized Fibonacci sequence, giving rise to a quasi-periodic finite ...
Del Toro R. +2 more
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The Topological Derivative of Homogenized Elastic Coefficients of Periodic Microstructures
SIAM Journal on Control and Optimization, 2011In the present paper we compute in full mathematical rigor the topological derivative of the elastic homogenized coefficients of periodic microstructures. The expression, here proven for the topological derivative, was successfully used for optimizing homogenized coefficients in an alternate directions optimization algorithm (jointly with the shape ...
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Laterally graded period layered synthetic microstructures
Applied Optics, 1988R, Philip +3 more
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Mesh generation for periodic 3D microstructure models and computation of effective properties
Journal of Computational Physics, 2021Volker Schmidt +2 more
exaly
Evaluation of Elasticity Parameters for Heterogeneous Material with Periodic Microstructure
2012Two approaches for evaluation of homogeneous elasticity parameters of heterogeneous material with periodic microstructure in linear elasticity are discussed in this paper. The two – scale modeling is used. Elasticity parameters for homogeneous material are evaluated in microscale and average stresses of three-dimensional heterogeneous and two ...
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