Abstract
The present study focuses on theoretical modeling of a “continuum with a singularity distribution” in the sense that the distribution of matter is assumed continuous but that discontinuity of scalar fields (density, temperature,...) and discontinuity of vectorial fields (micro-cracks, inter-granular de-cohesions, growth of adiabatic shear bands, e.g., [4]...) may appear in the continuum. These two types of discontinuity constitute the singularity type we deal with. For a single surface singularity, jump conditions across this surface (e.g., Green and Nagdhi [69]) were derived from the balance equations of mass, linear momentum, moment of momentum, energy, and entropy. The density of singularity is assumed sufficiently high to accept a continuous volume distribution of singularity.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer Science+Business Media New York
About this chapter
Cite this chapter
Rakotomanana, L.R. (2004). Introduction. In: A Geometric Approach to Thermomechanics of Dissipating Continua. Progress in Mathematical Physics, vol 31. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8132-6_1
Download citation
DOI: https://doi.org/10.1007/978-0-8176-8132-6_1
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6411-8
Online ISBN: 978-0-8176-8132-6
eBook Packages: Springer Book Archive