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A theory of the adaptive growth of biological materials

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Summary

In this paper, a new theory of the adaptive growth of biological materials is presented. The theory is derived from the basic laws of continuum mechanics. The material is described as a classical mixture of solid material and fluid. It will be shown that several well-known models of the adaptive growth are embedded in this more general theory. In addition, it is clarified on which material assumptions these models are based. Finally, a solution procedure for the new theory is developed, and several examples are given.

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Authors and Affiliations

  1. Fachbereich Mechanik, Technische Universität Darmstadt, Hochschulstraße 1, D-64289 Darmstadt, Germany, , , , , , DE

    S. Kühn & W. Hauger

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  1. S. Kühn
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  2. W. Hauger
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Additional information

Received 31 March 1999; accepted for publication 1 June 1999

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Kühn, S., Hauger, W. A theory of the adaptive growth of biological materials. Archive of Applied Mechanics 70, 183–192 (2000). https://doi.org/10.1007/s004199900056

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  • DOI: https://doi.org/10.1007/s004199900056

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