Search results for: MICROMORPHIC CONTINUUM

• Acceleration waves in the nonlinear micromorphic continuum

  Publication

  • V. Eremeev
  • L. Lebedev
  • M. Cloud

  - MECHANICS RESEARCH COMMUNICATIONS - Year 2018

  Within the framework of the nonlinear elastic theory of micromorphic continua we derive the conditions for propagation of acceleration waves. An acceleration wave, also called a wave of weak discontinuity of order two, can be treated as a propagating nonmaterial surface across which the second derivatives of the placement vector and micro-distortion tensor may undergo jump discontinuities. Here we obtain the acoustic tensor for...

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• Extended micropolar approach within the framework of 3M theories and variations thereof

  Publication

  • E. Vilchevskaya
  • W. Müller
  • V. Eremeev

  - CONTINUUM MECHANICS AND THERMODYNAMICS - Year 2022

  As part of his groundbreaking work on generalized continuum mechanics, Eringen proposed what he called 3M theories, namely the concept of micromorphic, microstretch, and micropolar materials modeling. The micromorphic approach provides the most general framework for a continuum with translational and (internal) rotational degrees of freedom (DOF), whilst the rotational DOFs of micromorphic and micropolar continua are subjected...

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