On the response of non-dissipative solids Academic Article

abstract

• In addition to being incapable of dissipation, in any process that it is subject to, there are other tacit requirements that a classical elastic body has to meet. The class of solids that are incapable of dissipation is far richer than the class of bodies that is usually understood as being elastic. We show that, unlike the case of a classical elastic body, the stress in non-dissipative bodies is not necessarily derivable from a stored energy that depends only on the deformation gradient.

authors

• Rajagopal, Kumbakonam
• Srinivasa, Arun

published proceedings

• PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES

author list (cited authors)

• Rajagopal, K. R., & Srinivasa, A. R.

citation count

• 134

complete list of authors

• Rajagopal, KR||Srinivasa, AR

publication date

• February 2007

publisher

• The Royal Society  Publisher

published in

• Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences  Journal

keywords

• Dissipation
• Hyperelastic
• Hypoelastic
• Implicit Theory
• Stored Energy

Digital Object Identifier (DOI)

• 10.1098/rspa.2006.1760

start page

• 357

end page

• 367

volume

• 463

issue

• 2078

URL

• http://dx.doi.org/10.1098/rspa.2006.1760