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The micropolar elastic behaviour of model macroscopically heterogeneous materials

Beveridge, Andrew James and Wheel, Marcus and Nash, David (2013) The micropolar elastic behaviour of model macroscopically heterogeneous materials. International Journal of Solids and Structures, 50 (1). 246–255. ISSN 0020-7683

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    Abstract

    This paper describes the design, manufacture, testing and analysis of two model heterogeneous materials that exhibit non classical elastic behaviour when loaded. In particular both materials demonstrate a size effect in which stiffness increases as test sample size reduces; an effect that is unrecognized by classical elasticity but predicted by more generalized elasticity theories that are thought to describe the behaviour of heterogeneous materials more fully. The size effect has been observed by both experimental testing and finite element analysis that fully incorporates the details of the underlying heterogeneity designed into each material. The size effect has been quantified thus enabling both the modulus and also the characteristic length, an additional constitutive parameter present within micropolar and other generalized elasticity theories, to be determined for each material. These characteristic length values are extraordinarily similar to the length scales associated with the structure of the materials. An additional constitutive parameter present within plane micropolar elasticity theory that quantifies shear stress asymmetry has also been determined for one of the materials by using an iterative process that seeks to minimize the differences between numerical predictions and test results.

    Item type: Article
    ID code: 41348
    Keywords: heterogeneous material , micropolar elasticity, size effect, Mechanical engineering and machinery, Mechanics of Materials, Modelling and Simulation, Materials Science(all), Mechanical Engineering, Applied Mathematics, Condensed Matter Physics
    Subjects: Technology > Mechanical engineering and machinery
    Department: Faculty of Engineering > Mechanical and Aerospace Engineering
    Related URLs:
      Depositing user: Pure Administrator
      Date Deposited: 08 Oct 2012 10:59
      Last modified: 27 Mar 2014 10:33
      URI: http://strathprints.strath.ac.uk/id/eprint/41348

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