This Article Full Text (PDF) All Versions of this Article: 1081286504033008v1 10/1/63    most recent References Alert me when this article is cited Alert me if a correction is posted Services Email this article to a friend Similar articles in this journal Alert me to new issues of the journal Add to Saved Citations Download to citation manager Request Permissions Request Reprints Add to My Marked Citations Citing Articles Citing Articles via HighWire Citing Articles via Web of Science (2) Citing Articles via Google Scholar Citing Articles via Scopus Google Scholar Articles by Zimmermann, M. Articles by Wineman, A. Search for Related Content Social Bookmarking                         What's this?

On the Elastic Behavior of Scission Materials

Department of Mechanical Engineering MIT, Cambridge, MA, USA

Alan Wineman

Department of Mechanical Engineering University of Michigan, Ann Arbor, MI 48109, USA

Constitutive equations have recently been developed which account for changes in the mechanical response of an elastomer due to changes in its macromolecular structure. The changes consist of scission of macromolecular network junctions, recoiling of macromolecules and their subsequent cross linking to form new networks with new stress-free reference configurations. This work discusses changes caused by large deformations. For each deformation history, there is a range of deformations in which the microstructure is fixed, with no further scission or cross linking. The elastomer has a modified elastic behavior and a new stress-free reference configuration. The constitutive equation for this post-scission elastic range is developed. Two subclasses of this constitutive equation are defined: Mooney-Rivlin based and neo-Hookean based scission materials. The strain energy density function for each subclass is derived. It is shown how the new material symmetry is determined from the preceding deformation history and the scission and cross linking processes. The effect of scission on the stability behavior of a neo-Hookean based scission material is discussed and a cube under triaxial load is considered.

Key Words: elastomer • scission • re-crosslinking • anisotropy • multiple reference configurations • stability

This version was published on February 1, 2005

Mathematics and Mechanics of Solids, Vol. 10, No. 1, 63-88 (2005)
DOI: 10.1177/10812865033008


CiteULike    Complore    Connotea    Del.icio.us    Digg    Reddit    Technorati    Twitter    What's this?

This article has been cited by other articles:

				A. Wineman Some Comments on the Mechanical Response of Elastomers Undergoing Scission and Healing at Elevated Temperatures Mathematics and Mechanics of Solids, December 1, 2005; 10(6): 673 - 689. [Abstract] [PDF]