New integral representations in the linear theory of viscoelastic materials with voids | Zendy

Alberto Cialdea | Zendy; Emanuela Dolce | Zendy; Vita Leonessa | Zendy; Angelica Malaspina | Zendy

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New integral representations in the linear theory of viscoelastic materials with voids

Author(s) -

Alberto Cialdea,

Emanuela Dolce,

Vita Leonessa,

Angelica Malaspina

Publication year - 2014

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim1410049c

Subject(s) - viscoelasticity , simple (philosophy) , mathematics , mathematical analysis , kelvin–voigt material , boundary value problem , vibration , differential (mechanical device) , classical mechanics , physics , thermodynamics , quantum mechanics , philosophy , epistemology

We investigate the two basic internal BVPs related to the linear theory of viscoelasticity for Kelvin–Voigt materials with voids by means of the potential theory. By using an indirect boundary integral method, we represent the solution of the first (second) BVP of steady vibrations in terms of a simple (double) layer elastopotential. The representations achieved are different from the previously known ones. Our approach hinges on the theory of reducible operators and on the theory of differential forms

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