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Archive for Rational Mechanics and Analysis
Article . 1972 . Peer-reviewed
License: Springer TDM
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zbMATH Open
Article . 1972
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Article . 1972
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On a class of conservation laws in linearized and finite elastostatics

Authors: Knowles, J. K.; Sternberg, Eli;

On a class of conservation laws in linearized and finite elastostatics

Abstract

Several years ago ESHELBY [1] (1956), in a paper devoted to the continuum theory of lattice defects, deduced a surface-integral representation for the "force on an elastic singularity or inhomogeneity", which-in the absence of such defects-gives rise to a conservation law for regular elastostatic fields appropriate to homogeneous but not necessarily isotropic solids in the presence of infinitesimal deformations. Morevoer, ESHIELBY noted that his result, when suitably interpreted, remains strictly valid for finite deformations of elastic solids.

Country
United States
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Keywords

Generalities, axiomatics, foundations of continuum mechanics of solids, Optimization of other properties in solid mechanics, Other numerical methods in solid mechanics, 510, 620

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
535
Top 1%
Top 0.1%
Top 10%
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