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Statistical, Continuum Mechanical, and Rate Process Theories of Fracture

  • Chapter
Polymer Fracture

Part of the book series: Polymers ((POLYMERS,volume 2))

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Abstract

Test specimens loaded under laboratory conditions, but also regular engineering components fracturing in service, provide many different data which lend themselves to evaluation of the fracture process. These data are, for instance, the time to onset and completion of fracture, details of the fracture pattern (ductile or brittle fracture, appearance of the breaking specimen and of the fracture surface), crack dynamics, and change in physical or chemical properties. Naturally the most straight- forward evaluation of a test or a set of data is the direct correlation of the property of interest (e.g., time under stress) to the environmental parameter(s) of interest (e.g., stress and temperature). In Figure 1.4 a set of data with just these variables has been plotted (PVC pipes under internal pressure). If one uses such a plot a number of questions arise:

  • what is the statistical significance of an individual data point

  • what are the failure conditions and how do they depend on external parameters and material properties

  • what is the likely cause of failure

  • what conclusions can be drawn with respect to extrapolating the set of curves into hitherto non-accessible regions of time, pressure, or temperature?

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Authors and Affiliations

  1. Laboratoire des Polymères, Département des Matériaux, École Polytechnique Fédérale de Lausanne, Suisse

    Professor Dr. rer. nat. Hans-Henning Kausch-Blecken von Schmeling

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  1. Professor Dr. rer. nat. Hans-Henning Kausch-Blecken von Schmeling
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Kausch-Blecken von Schmeling, HH. (1978). Statistical, Continuum Mechanical, and Rate Process Theories of Fracture. In: Polymer Fracture. Polymers, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-96460-2_3

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  • DOI: https://doi.org/10.1007/978-3-642-96460-2_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-96462-6

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