STABILITY ACCORDING TO LIAPOUNOV, OF A HYPER-ELASTIC COLUMN SUBJECTED TO SIMPLE COMPRESSION OR TENSION

ESTABILIDAD SEGUN LIAPOUNOV DE UNA COLUMNA HIPERELASTICA SOMETIDA A COMPRESION O TRACCION SIMPLES

THE STUDY AIMS AT OBTAINING THE ADEQUATE CONDITIONS OF STABILITY, IN THE CONTEXT OF LIAPOUNOV'S THEORY, OF THE POSITION OF EQUILIBRIUM IN A STRAIGHT THREE-DIMENSIONAL HYPER-ELASTIC COLUMN, SUBJECTED AT ITS ENDS TO THE ACTION OF A CONSTANT COMPRESSION FORCE (EULER CASE) OR TO CONSTANT TENSION. THE PAPER APPLIES LIAPOUNOV'S CRITERIA OF STABILITY, OBTAINED FOR ARBITRARY HYPER-ELASTIC SOLIDS. THE STABILITY IS BRIEFLY ANALYSED IN THE SENSE WHICH LIAPOUNOV APPLIED TO THE ONE-DIMENSIONAL PROBLEM FOR THE EULER COLUMN, AND A STUDY IS MADE OF THE TWO-DIMENSIONAL CASE. AN ANALYSIS IS PRESENTED OF THE THREE-DIMENSIONAL STABILITY OF A COLUMN SUBJECTED TO TENSION.

Media Info

  • Pagination: 761-73
  • Serial:

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Filing Info

  • Accession Number: 01289325
  • Record Type: Publication
  • Source Agency: Institut Francais des Sciences et Technologies des Transports, de l'Aménagement et des Réseaux (IFSTTAR)
  • Files: ITRD
  • Created Date: Nov 21 2010 1:43AM