A recent study about the temperature and heat flux distributions around two nonconductive (separate or intersecting) circular holes in a plane system recently appeared in Literature [1]. These results have been used to construct the second-rank resistivity contribution tensor which allows assessing the effective thermal properties of a composite including circular inhomogeneities. Here, that study is extended to assess the overall elastic properties of an isotropic elastic matrix with two separate circular cavities or a cavity obtained by the union of two circles of generally different diameters (Figure 1). The problem is formulated in terms of stress functions expressed in Fourier series or Fourier transforms. Reference is made to bipolar cylindrical coordinates [2]. Once the displacement field u has been calculated, the extra strain due to the inhomogeneity is assessed according to (1), being n the normal vector and V the volume reference. Finally, the extra strain is used to assess the fourth-rank compliance contribution tensor varying the size of the circular arcs.

Effective elastic properties of media containing coalescing holes / Lanzoni, Luca; Radi, Enrico; Sevostianov, Igor. - (2019), pp. 145-145. (Intervento presentato al convegno XXIV Convegno AIMeTA tenutosi a Roma nel 15-19 Settembre 2019).

### Effective elastic properties of media containing coalescing holes

#### Abstract

A recent study about the temperature and heat flux distributions around two nonconductive (separate or intersecting) circular holes in a plane system recently appeared in Literature [1]. These results have been used to construct the second-rank resistivity contribution tensor which allows assessing the effective thermal properties of a composite including circular inhomogeneities. Here, that study is extended to assess the overall elastic properties of an isotropic elastic matrix with two separate circular cavities or a cavity obtained by the union of two circles of generally different diameters (Figure 1). The problem is formulated in terms of stress functions expressed in Fourier series or Fourier transforms. Reference is made to bipolar cylindrical coordinates [2]. Once the displacement field u has been calculated, the extra strain due to the inhomogeneity is assessed according to (1), being n the normal vector and V the volume reference. Finally, the extra strain is used to assess the fourth-rank compliance contribution tensor varying the size of the circular arcs.
##### Scheda breve Scheda completa Scheda completa (DC)
2019
XXIV Convegno AIMeTA
Roma
15-19 Settembre 2019
Lanzoni, Luca; Radi, Enrico; Sevostianov, Igor
Effective elastic properties of media containing coalescing holes / Lanzoni, Luca; Radi, Enrico; Sevostianov, Igor. - (2019), pp. 145-145. (Intervento presentato al convegno XXIV Convegno AIMeTA tenutosi a Roma nel 15-19 Settembre 2019).
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Utilizza questo identificativo per citare o creare un link a questo documento: `https://hdl.handle.net/11380/1181117`