SIMULATION OF STRESS CONCENTRATION PROBLEMS IN LAMINATED PLATES BY QUASI-TREFFTZ FINITE ELEMENT MODELS

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FLAVIO LUIZ DE SILVA BUSSAMRA
ELISEU LUCENA NETO
MARCOS ANTONIO CAMPOS RODRIGUES

Abstract

HYBRID QUASI-TREFFTZ FINITE ELEMENTS HAVE BEEN APPLIED WITH SUCCESS TO THE ANALYSIS OF LAMINATED PLATES. TWO INDEPENDENT FIELDS ARE APPROXIMATED BY LINEARLY INDEPENDENT, HIERARCHICAL POLYNOMIALS: THE STRESS BASIS IN THE DOMAIN, ADAPTED FROM PAPKOVITCH-NEUBER SOLUTION OF NAVIER EQUATIONS, AND THE DISPLACEMENT BASIS, DEFINED ON ELEMENT SURFACE. THE STRESS FIELD THAT SATISFIES THE TREFFTZ CONSTRAINT A PRIORI FOR ISOTROPIC MATERIAL IS ADAPTED FOR ORTHOTROPIC MATERIALS, WHICH LEADS TO THE TERM ÂQUASIÂ. IN THIS WORK, THE HEXAHEDRAL HYBRID QUASI-TREFFTZ STRESS ELEMENT IS APPLIED TO THE MODELING OF NONSYMMETRIC LAMINATES AND LAMINATED COMPOSITE PLATES WITH GEOMETRIC DISCONTI-NUITIES. THE HIERARCHICAL P-REFINEMENT IS EXPLOITED.

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Author Biographies

FLAVIO LUIZ DE SILVA BUSSAMRA, ITA - INSTITUTO TECNOLóGICO DE AERONáUTICA

HEAD OF DEPARTMENT OF AERONAUTICAL ENGINEERING

INSTITUTO TECNOLÓGICO DE AERONÁUTICA

SÃO JOSÉ DOS CAMPOS, BRAZIL

ELISEU LUCENA NETO, ITA - INSTITUTO TECNOLóGICO DE AERONáUTICA

DEPARTMENT OF CIVIL ENGINEERING

INSTITUTO TECNOLÓGICO DE AERONÁUTICA

SÃO JOSÉ DOS CAMPOS, BRAZIL

 

MARCOS ANTONIO CAMPOS RODRIGUES, ITA - INSTITUTO TECNOLóGICO DE AERONáUTICA

DEPARTMENT OF AERONAUTICAL ENGINEERING

INSTITUTO TECNOLÓGICO DE AERONÁUTICA

SÃO JOSÉ DOS CAMPOS, BRAZIL

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