The Effective Module and the Rate of Homogenization in Degenerate Elastostatics

Ping Wang

doi:10.1080/00036819408840223

The Effective Module and the Rate of Homogenization in Degenerate Elastostatics

Ping Wang

Penn State Schuylkill

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

Abstract

We consider the homogenization problem for an elastic material which contains a distributed array of gas bubbles. It is assumed that the spacing of the holes and their diameters are of the same order of magnitude. The main result is that we find an explicit expression of the effective module of the limiting material as the spacing of the hole goes to zero. The rate of homogenization is also obtained.

Original language	English (US)
Pages (from-to)	45-52
Number of pages	8
Journal	Applicable Analysis
Volume	52
Issue number	1-4
DOIs	https://doi.org/10.1080/00036819408840223
State	Published - Feb 1 1994

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1080/00036819408840223

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abstract = "We consider the homogenization problem for an elastic material which contains a distributed array of gas bubbles. It is assumed that the spacing of the holes and their diameters are of the same order of magnitude. The main result is that we find an explicit expression of the effective module of the limiting material as the spacing of the hole goes to zero. The rate of homogenization is also obtained.",

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AB - We consider the homogenization problem for an elastic material which contains a distributed array of gas bubbles. It is assumed that the spacing of the holes and their diameters are of the same order of magnitude. The main result is that we find an explicit expression of the effective module of the limiting material as the spacing of the hole goes to zero. The rate of homogenization is also obtained.

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The Effective Module and the Rate of Homogenization in Degenerate Elastostatics

Abstract

All Science Journal Classification (ASJC) codes

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