A class of one-dimensional stiffness microstructures resulting in identical macroscale response

Ben Zion Steinberg; John J. McCoy

doi:10.1016/0165-2125(95)00000-3

A class of one-dimensional stiffness microstructures resulting in identical macroscale response

Ben Zion Steinberg^*, John J. McCoy

^*Corresponding author for this work

School of Electrical Engineering

Catholic University of America

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

Multiresolution analysis is used to derive an effective constitutive relation pertaining to a one-dimensional microscale stiffness variation in a thin elastic plate. It is shown that it is possible to synthesize classes of different stiffness microstructures that have the same footprint on the macroscale component of the plate response. An effective, smooth, stiffness heterogeneity associated with the classes is derived.

Original language	English
Pages (from-to)	237-258
Number of pages	22
Journal	Wave Motion
Volume	23
Issue number	3
DOIs	https://doi.org/10.1016/0165-2125(95)00000-3
State	Published - May 1996

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title = "A class of one-dimensional stiffness microstructures resulting in identical macroscale response",

abstract = "Multiresolution analysis is used to derive an effective constitutive relation pertaining to a one-dimensional microscale stiffness variation in a thin elastic plate. It is shown that it is possible to synthesize classes of different stiffness microstructures that have the same footprint on the macroscale component of the plate response. An effective, smooth, stiffness heterogeneity associated with the classes is derived.",

author = "Steinberg, {Ben Zion} and McCoy, {John J.}",

year = "1996",

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AB - Multiresolution analysis is used to derive an effective constitutive relation pertaining to a one-dimensional microscale stiffness variation in a thin elastic plate. It is shown that it is possible to synthesize classes of different stiffness microstructures that have the same footprint on the macroscale component of the plate response. An effective, smooth, stiffness heterogeneity associated with the classes is derived.

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A class of one-dimensional stiffness microstructures resulting in identical macroscale response

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