Results and applications in thermoelasticity of materials with voids

• Main Authors: Michele Ciarletta, Antonio Scalia
• Format: Article
• Language: English
• Published: Università degli Studi di Catania 1991-05-01
• Series: Le Matematiche
• Online Access: http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/603

<!-- @page { size: 21cm 29.7cm; margin: 2cm } --> <p><span style="font-family: DejaVu Sans,sans-serif;">We consider the linear theory of a thermoelastic porous solid in which the skeletal or matrix is a thermoelastic material and the interstices are void of material. We assume that the initial body is free from stresses. The concept of a distributed body asserts that the mass density at time <em>t</em><span style="font-style: normal;"> has the decomposition γν, where γ is the density of the matrix material and ν (0< ν ≤ 1) is the volume fraction field (cf. [1,2]).</span></span></p> <p><span style="font-family: DejaVu Sans,sans-serif;"><span style="font-style: normal;">In the first part, in order to derive some applications of the reciprocity theorem, we recall some results established by same authors in [3]. Then we obtain integral representations of the solution and prove that the solving of the boundary-initial value problem can be reduced to the solving of an associated uncoupled problem and to an integral equation for the volume fraction field.</span></span></p>