Material identification of nonlinear solids infused with a fluid Academic Article

abstract

• It is common in the theory of mixtures to prescribe a constitutive relation for the homogenized mixture rather than for each of the individual constituents. Such a relation should describe well the behavior of the mixture, that is experimental data. In this paper, we offer a theoretical framework to guide the performance and interpretation of biaxial tests on solid-fluid mixtures and, in particular, to identify forms of the response functions directly from the data. Moreover, in contrast to prior work, we include the effects of the inertia of the fluid constituent. The potential importance of the latter is illustrated via solutions for an assumed form of the Helmholtz potential for the mixture.

authors

• Rajagopal, Kumbakonam

published proceedings

• MATHEMATICS AND MECHANICS OF SOLIDS

author list (cited authors)

• Hron, J., Humphrey, J. D., & Rajagopal, K. R.

citation count

• 4

complete list of authors

• Hron, J||Humphrey, JD||Rajagopal, KR

publication date

• December 2002

publisher

• SAGE Publications  Publisher

published in

• Mathematics and Mechanics of Solids  Journal

keywords

• Biaxial Tests
• Constitutive Relations
• Finite Deformations
• Mixture Theory
• Soft Tissues

Digital Object Identifier (DOI)

• 10.1177/108128602029661

start page

• 629

end page

• 646

volume

• 7

issue

• 6

URL

• http://dx.doi.org/10.1177/108128602029661