University of Naples Federico II, Department of Structures for Engineering and Architecture, Naples, Italy
Submission date: 2022-09-27
Final revision date: 2022-12-01
Acceptance date: 2022-12-21
Online publication date: 2023-04-03
Publication date: 2023-04-28
Corresponding author
Simona De Cicco
Department of Structures in Engineering and Architecture, Università degli Studi di Napoli Federico II, via Forno Vecchio 36,, 80134, Naples,, Italy
Journal of Theoretical and Applied Mechanics 2023;61(2):305-316
The paper deals with the linear theory of elastic materials with voids based on the concept of
volume fraction. In this model, the interstitial pores are vacuous and can contract or stretch.
The change in the volume fraction is measured by a scalar function, so that independent
kinematical variables are four: the components of displacements and the volume fraction
function. The equilibrium problem of elastic spherical bodies under radial surface traction is
solved. The solution is given in closed form and applied to study three special cases. Explicit
formulas of the displacement, stress distribution and volume fraction function are given.
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