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Theory of elasticity for the polyethylene crystal

Part I: Non-linear theory

  • Original Contributions
  • Polymer Science
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Summary

For the polyethylene crystal, a local, non-linear, static theory of elasticity is established. This theory takes into account the complete microstructure of the material. Within the framework of differential geometry, dislocations and disclinations are introduced. Non-linear, local constitutive equations are established and the equations of elastic equilibrium are derived. The theory may be applied to calculate the deformations and the stress of defects in the polyethylene crystal.

Zusammenfassung

Für den Polyäthylenkristall wird eine lokale, nichtlineare, statische Elastizitätstheorie entwickelt, welche die volle Mikrostruktur des Materials berücksichtigt. Mit differentialgeometrischen Methoden werden Versetzungen und Disklinationen eingeführt und die nichtlinearen Gleichgewichtsbedingungen werden abgeleitet. Die Theorie kann zur Berechnung der Deformationen und Spannungen von Defekten im Polyäthylenkristall herangezogen werden.

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Authors and Affiliations

  1. Theoretische Physik Universität - Gesamthochschule - Paderborn, Fachbereich 6, 4790, Paderborn

    F. Falk

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  1. F. Falk
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Falk, F. Theory of elasticity for the polyethylene crystal. Colloid & Polymer Sci 258, 142–147 (1980). https://doi.org/10.1007/BF01498271

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  • DOI: https://doi.org/10.1007/BF01498271

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