The critical displacement method with a constitutive damage model

• Holger, Tschöpe ^[2] ; E. Oñate ^[1] ; P. Wriggers ^[2]
  1. [1] Universitat Politècnica de Catalunya

     Universitat Politècnica de Catalunya

     Barcelona, España

     
  2. [2] Institut für Baumechanik und Numerische Mechanik Universität, Hannover, Alemania
• Localización: Métodos Numéricos en Ingeniería: [Comunicaciones presentadas al IV Congreso de Métodos Numéricos en Ingeniería celebrado en Sevilla durante los días 7-10 de Junio de 1999] / R. Abascal (ed. lit.), José Domínguez Abascal (ed. lit.) , G. Bugeda (ed. lit.), 1999, ISBN 84-89925-45-3
• Idioma: inglés
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• Resumen

  • In this article a combination of a simple constitutive damage model with the Critical Displacement Method for the prediction of critical points of the equilibrium load{deflection path of a mechanical structure is presented. Departing from a computed equilibrium point a secant sti ness matrix is assembled basing on these displacements. The secant matrix is then used to approximate the eigenvalue equation of the tangent sti ness matrix in the critical point, which results in an eigenvalue problem. Solving this the critical displacements and the critical load can be computed. With this method a prediction is possible at every point of the equilibrium path with or without damage.