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Homogenization and materials design of mechanical properties of textured materials based on zeroth-, first- and second-order bounds of linear behavior

Homogenization and materials design of mechanical properties of textured materials based on zeroth-, first- and second-order bounds of linear behavior

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This work approaches the fields of homogenization and of materials design for the linear and nonlinear mechanical properties with prescribed properties-profile. The set of achievable properties is bounded by the zeroth-order bounds (which are material specific), the first-order bounds (containing volume fractions of the phases) and the second-order Hashin-Shtrikman bounds with eigenfields in terms of tensorial texture coefficients for arbitrarily anisotropic textured materials.

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Keywords

  • Homogenisierung
  • homogenization
  • Materialdesign
  • Materials design
  • Mehrphasige Materialien
  • Multiphase materials
  • Polycrystals
  • Polykristalle
  • Theoretical bounds
  • Theoretische Schranken

Links

DOI: 10.5445/KSP/1000080683

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