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  <doc>
    <id>1519</id>
    <completedYear/>
    <publishedYear>2017</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>47</pageFirst>
    <pageLast>62</pageLast>
    <pageNumber/>
    <edition/>
    <issue>1</issue>
    <volume>4</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Transformation of the Mechanical Properties of Fiber-Reinforced Plastic Tubes from the Cartesian Coordinate System into the Cylindrical Coordinate System for the Application of Bending Models</title>
    <abstract language="eng">Fiber-reinforced  plastic (FRP) tubes are used in many different industries, such as electrical engineering and pipeline construction. The tubes are frequently subjected to bending loads, depending on the application. In order that the dimensioning of the tubes can be ensured, analytical bending models are used to calculate the resulting stresses, strains and displacements in the individual layers of the laminate. This enables the making of a statement about the failure of  the fiber-reinforced tube by choosing an appropriate failure criterion. For the use of these bending models, it is necessary to understand the respective underlying theory. The theory provides the basis for the mathematical description of the mechanical properties for a single-layered tube and using the relationships between  the stresses and strains that occur in the Cylindrical coordinate system for this calculation step. For this reason, a redefinition of the compliance matrix from  the transformation about the winding angle to the Cylindrical coordinate system  and a modification of the stress and strain vectors is necessary, because the defined Cartesian coordinate system of the model cannot be used for wounded FRP  tubes. The transformation causes an exchange of entries in the compliance matrix, which remain in the correct relationship between the particular stress and strains.  This step is not specified and may lead to incorrect results due to the incorrect  entry of compliances. The present publication refers to sketch on this issue and represent a simplification of the changeover to the level required by the bending  models notation of  vectors in the form of a permutation. In addition, a new name for the pre-acquisition of the redefined compliances is given to prevent confusion  when entering the material law of a bending model. Finally, the permuted and redefined compliances are proved in an example to determine their accuracy.</abstract>
    <parentTitle language="eng">Athens Journal of Technology &amp; Engineering</parentTitle>
    <identifier type="url">https://www.athensjournals.gr/technology/2017-4-1-4-Siegl.pdf</identifier>
    <author>Marco Siegl</author>
    <author>Ingo Ehrlich</author>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Bending model</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Cylindrical coordinate system</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Fiber-reinforced plastic tubes</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Permutation of the compliances</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Transformation of the compliances</value>
    </subject>
    <collection role="institutes" number="FAKMB">Fakultät Maschinenbau</collection>
    <collection role="institutes" number="TCNeustadt">Technologie-Campus Neustadt an der Donau</collection>
    <collection role="persons" number="ehrlichlft">Ehrlich, Ingo (Prof. Dr.) - Labor Faserverbundtechnik</collection>
    <collection role="persons" number="tcnehno">Technologie-Campus Neustadt a. d. Donau (Prof. Ehrlich+ Prof. Nonn)</collection>
    <collection role="othforschungsschwerpunkt" number="16316">Produktion und Systeme</collection>
    <collection role="institutes" number="">Labor Faserverbundtechnik (LFT)</collection>
  </doc>
</export-example>
