Discrete structures in continuum descriptions of defective crystals
I discuss various mathematical constructions that combine together to provide a natural setting for discrete and continuum geometric models of defective crystals. In particular I provide a quite general list of `plastic strain variables', which quantifies inelastic behaviour, and exhibit rigoro...
| Main Author: | |
|---|---|
| Format: | Article |
| Published: |
The Royal Society
2016
|
| Subjects: | |
| Online Access: | https://eprints.nottingham.ac.uk/30995/ |
| Summary: | I discuss various mathematical constructions that combine together to provide a natural setting for discrete and continuum geometric models of defective crystals. In particular I provide a quite general list of `plastic strain variables', which quantifies inelastic behaviour, and exhibit rigorous connections between discrete and continuous mathematical structures associated with crystalline materials that have a correspond-ingly general constitutive specification. |
|---|