Displacements approach with external variables only for multi-domain analysis via symmetric BEM

Liborio Zito, Teotista Panzeca, Silvio Salvatore Terravecchia

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1 Citazione (Scopus)

Abstract

In the present paper a new displacement method, defined as external variables one, is proposed inside the multidomain symmetric Boundary Element formulation.This method is a natural evolution of the displacement approach with interface variables in themultidomain symmetric BEM analysis. Indeed, the strategy employed has the advantage of considering only the kinematical quantities of the free boundary nodes and the algebraic operators involved show symmetry and very small dimensions. The proposed approach is characterized by strong condensation ofthe mechanical and kinematical boundary nodes variables of the macro-elements. All the domain quantities, such as tractions and stresses, displacements and strains, are computed through the Somigliana Identities in a subsequent phase.Some examples are shown using the calculus code Karnak.sGbem, by which it was possible to make some comparisons with analytical solutions andothe rapproaches to show the effectiveness of the method proposed
Lingua originaleEnglish
pagine (da-a)82-94
Numero di pagine13
RivistaEUROPEAN JOURNAL OF MECHANICS. A, SOLIDS
Volume30
Stato di pubblicazionePublished - 2012

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Insulator Elements
Traction (friction)
Macros
Condensation
free boundaries
traction
calculus
condensation
formulations
operators
symmetry

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)

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abstract = "In the present paper a new displacement method, defined as external variables one, is proposed inside the multidomain symmetric Boundary Element formulation.This method is a natural evolution of the displacement approach with interface variables in themultidomain symmetric BEM analysis. Indeed, the strategy employed has the advantage of considering only the kinematical quantities of the free boundary nodes and the algebraic operators involved show symmetry and very small dimensions. The proposed approach is characterized by strong condensation ofthe mechanical and kinematical boundary nodes variables of the macro-elements. All the domain quantities, such as tractions and stresses, displacements and strains, are computed through the Somigliana Identities in a subsequent phase.Some examples are shown using the calculus code Karnak.sGbem, by which it was possible to make some comparisons with analytical solutions andothe rapproaches to show the effectiveness of the method proposed",
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AU - Zito, Liborio

AU - Panzeca, Teotista

AU - Terravecchia, Silvio Salvatore

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Y1 - 2012

N2 - In the present paper a new displacement method, defined as external variables one, is proposed inside the multidomain symmetric Boundary Element formulation.This method is a natural evolution of the displacement approach with interface variables in themultidomain symmetric BEM analysis. Indeed, the strategy employed has the advantage of considering only the kinematical quantities of the free boundary nodes and the algebraic operators involved show symmetry and very small dimensions. The proposed approach is characterized by strong condensation ofthe mechanical and kinematical boundary nodes variables of the macro-elements. All the domain quantities, such as tractions and stresses, displacements and strains, are computed through the Somigliana Identities in a subsequent phase.Some examples are shown using the calculus code Karnak.sGbem, by which it was possible to make some comparisons with analytical solutions andothe rapproaches to show the effectiveness of the method proposed

AB - In the present paper a new displacement method, defined as external variables one, is proposed inside the multidomain symmetric Boundary Element formulation.This method is a natural evolution of the displacement approach with interface variables in themultidomain symmetric BEM analysis. Indeed, the strategy employed has the advantage of considering only the kinematical quantities of the free boundary nodes and the algebraic operators involved show symmetry and very small dimensions. The proposed approach is characterized by strong condensation ofthe mechanical and kinematical boundary nodes variables of the macro-elements. All the domain quantities, such as tractions and stresses, displacements and strains, are computed through the Somigliana Identities in a subsequent phase.Some examples are shown using the calculus code Karnak.sGbem, by which it was possible to make some comparisons with analytical solutions andothe rapproaches to show the effectiveness of the method proposed

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JO - European Journal of Mechanics, A/Solids

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