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Bone remodeling III: uniqueness and stability in adaptive elasticity theory

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Abstract

A uniqueness theorem for infinitesimal adaptive elasticity is proved. Two theorems establishing sufficient conditions for stability are demonstrated.

Zusammenfassung

Ein Eingigkeitsatz für unendich klein adaptives Elastizitätstheoric ist gebeweisen, Zwei Sätze aussagen hinreichende Bedingingen für Stabilität werden demonstrieren.

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References

  1. Cowin, S. C. and Hegedus, D. H.; Bone Remodeling I: A Theory of Adaptive Elasticity, J. Elasticity, 6 (1976) 313–325.

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  2. Hegedus, D. H. and Cowin, S. C.; Bone Remodeling II: Small Strain Adaptive Elasticity, J. Elasticity, 6 (1976) 337–352.

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  3. Batra, R. C.; On the Asymptotic Stability of the Rest State of a Viscous Fluid bounded by a Rigid Wall and an Elastic Membrane, Arch. Rational Mech. Anal., 56 (1974) 310–319.

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  4. Fichera, G., Existence Theorems in Linear Elasticity, Flügge's Handbuch der Physik, editor C. Truesdell, VI a/2. Berlin, Heidelberg, New York, Springer 1972.

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Authors and Affiliations

  1. Tulane University, 70118, New Orleans, LA, U.S.A.

    S. C. Cowin

  2. University of Houston, 77004, Houston, TX, U.S.A.

    R. R. Nachlinger

Authors
  1. S. C. Cowin
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  2. R. R. Nachlinger
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Cowin, S.C., Nachlinger, R.R. Bone remodeling III: uniqueness and stability in adaptive elasticity theory. J Elasticity 8, 285–295 (1978). https://doi.org/10.1007/BF00130467

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  • DOI: https://doi.org/10.1007/BF00130467

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