Publications [#268279] of John E. Dolbow

Papers Published

1. Korchagin, V; Dolbow, J; Stepp, D, A theory of amorphous viscoelastic solids undergoing finite deformations with application to hydrogels, International Journal of Solids and Structures, vol. 44 no. 11-12 (June, 2007), pp. 3973-3997, Elsevier BV, ISSN 0020-7683 [doi]
   (last updated on 2023/06/01)

   Abstract:
   We consider a hydrogel in the framework of a continuum theory for the viscoelastic deformation of amorphous solids developed by Anand and Gurtin [Anand, L., Gurtin, M., 2003. A theory of amorphous solids undergoing large deformations, with application to polymeric glasses. International Journal of Solids and Structures, 40, 1465-1487.] and based on (i) a system of microforces consistent with a microforce balance, (ii) a mechanical version of the second law of thermodynamics and (iii) a constitutive theory that allows the free energy to depend on inelastic strain and the microstress to depend on inelastic strain rate. We adopt a particular (neo-Hookean) form for the free energy and restrict kinematics to one dimension, yielding a classical problem of expansion of a thick-walled cylinder. Considering both Dirichlet and Neumann boundary conditions, we arrive at stress relaxation and creep problems, respectively, which we consider, in turn, locally, at a point, and globally, over the interval. We implement the resulting equations in a finite element code, show analytical and/or numerical solutions to some representative problems, and obtain viscoelastic response, in qualitative agreement with experiment. © 2006 Elsevier Ltd. All rights reserved.