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A classical variational model for micropolar elastodynamics

Tipo de material: TextoTextoSeries ; International Journal of Nonlinear Sciences and Numerical Simulation, 1(2), p.133-138, 2000Trabajos contenidos:
  • He, J
Tema(s): Recursos en línea: Resumen: A family of classical generalized variational principles (not Gurtin-type and not involving convolutions)is presented for micropolar elastodynamics through the semi-inverse method. An energy-like trial-functional is developed with a certain unknown function pertaining to the smaller number of constitutive variables. The new trial-functional with the new unknown function are derived through the variation of the old trial-functional. Finally, the final trial-functional is achieved when the corresponding unknown function becomes constant. The present theory provides a complete basis for the finite element applications and other direct variational methods such as Ritz, Trefftz and Kantorovitch methods.
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A family of classical generalized variational principles (not Gurtin-type and not involving convolutions)is presented for micropolar elastodynamics through the semi-inverse method. An energy-like trial-functional is developed with a certain unknown function pertaining to the smaller number of constitutive variables. The new trial-functional with the new unknown function are derived through the variation of the old trial-functional. Finally, the final trial-functional is achieved when the corresponding unknown function becomes constant. The present theory provides a complete basis for the finite element applications and other direct variational methods such as Ritz, Trefftz and Kantorovitch methods.

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