A constitutive equation for the porosity field

✍ Scribed by L. Graziano; R. Lancellotta

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 512 KB
• Volume: 38
• Category: Article
• ISSN: 0895-7177
• DOI: 10.1016/s0895-7177(03)90106-3

✦ Synopsis

This

paper deals with the derivation of an evolution equation for the field here denoted by An, which represents the difference between the porosity in an arbitrary state of a deformable porous medium and its equilibrium value. The equation is obtained assuming that An is a constitutive quantity depending on the history of the fields describing macroscopically a porous material. Moreover, at least in the vicinity of the state of stable equilibrium, the equation obtained for An can be regarded as a balance equation liable to various degrees of approximation, so including various models with additional balance laws known in the literature.