We consider two classical problems which are widely used as benchmark tests for shell numerical methods: the Scordelis–Lo roof and the pinched roof. Due to the particular load and boundary conditions applied, neither belongs to the well-known classes of purely bending or purely membrane dominated shells. Consequently the asymptotic energy norm behavior, which is useful not only because it represents the structure stiffness, but also for numerical comparison purposes, is not a priori known. In this work, using space interpolation techniques and a recently developed "intermediate" shell theory, the asymptotic energy behavior of both problems is found analytically. The results are in agreement with the numerical estimates obtained in other papers.

BEIRAO DA VEIGA, L. (2003). Asymptotic energy behavior of two classical intermediate benchmark shell problems. MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES, 13(9), 1279-1302 [10.1142/S021820250300291X].

Asymptotic energy behavior of two classical intermediate benchmark shell problems

BEIRAO DA VEIGA, LOURENCO
Primo
2003

Abstract

We consider two classical problems which are widely used as benchmark tests for shell numerical methods: the Scordelis–Lo roof and the pinched roof. Due to the particular load and boundary conditions applied, neither belongs to the well-known classes of purely bending or purely membrane dominated shells. Consequently the asymptotic energy norm behavior, which is useful not only because it represents the structure stiffness, but also for numerical comparison purposes, is not a priori known. In this work, using space interpolation techniques and a recently developed "intermediate" shell theory, the asymptotic energy behavior of both problems is found analytically. The results are in agreement with the numerical estimates obtained in other papers.
Articolo in rivista - Articolo scientifico
Koiter shell; interpolation theory; energy behavior
English
2003
13
9
1279
1302
none
BEIRAO DA VEIGA, L. (2003). Asymptotic energy behavior of two classical intermediate benchmark shell problems. MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES, 13(9), 1279-1302 [10.1142/S021820250300291X].
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/100350
Citazioni
  • Scopus 9
  • ???jsp.display-item.citation.isi??? 9
Social impact