• Convexity of internal energy of cubic crystal deformed to orthorhombic structure

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    • Keywords

       

      Material strength; elastic constants

    • Abstract

       

      A generalized set of strain variablesqrN, has been defined to develop the expression for a generalized set of second order and third-order elastic moduliCrsN andCrstN for a cubic crystal deformed to orthorhombic structure. The HessainCrsNδqrδqs andCrstNδqrδqsδqt (r=1, 2……6; summation convention) are calculated in the new variables and compared withG-strength andS-strength, for both positive and negative loading environment.

      The convexity of the internal energy relative to various choice of strain measure is examined considering up to third degree terms in the internal energy expression. The computational results forbcc iron is presented according to the new moduli. The stable ranges thus obtained for iron under hydrostatic compressive and tensile stresses is found to generate the classical stable range, green-stable range and stretch-stable range as the specific cases. However,bcc iron does not seem to follow any conventional stable ranges under hydrostatic compression, where the present generalized stable range is found satisfactory.

    • Author Affiliations

       

      K P Thakur1 R K Jha2 O P Thakur3

      1. Department of Physics, Asmara University, P.O. Box 1220, Asmara, Ethiopia
      2. Department of Physics, TNB College Bhagalpur University, Bhagalpur - 812 007, India
      3. Department of Physics, Delhi Institute of Technology, Kashmere Gate, Delhi - 110 006, India
    • Dates

       
  • Pramana – Journal of Physics | News

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