definition 30.11 Green strain
open in the book ·
parts/03-classical-mechanics/13-continuum-elasticity.tex:323
· p. 1010
- ground object -- no derivation owed
Rests on
-
depends_on
definition 30.6
Linear strain and infinitesimal rotation
¶
- depends_on definition 13.91 Symmetric and antisymmetric parts ¶
- depends_on equation 30.2 eq:elast-displacement ¶
- depends_on equation 30.2 eq:elast-displacement ¶ ↺
Supports
-
depends_on
proposition 30.12
The Green strain measures length exactly
¶
- depends_on example 30.13 A rigid rotation forges a strain of $-\theta^{2}/2$ ¶
Neighborhood
Every logical edge within two steps of this node.
- declared and complete
- partly declared
- a check failed
- not graded
- declared in the source
- inferred from structure
Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | Linear strain and infinitesimal rotation | declared | parts/03-classical-mechanics/13-continuum-elasticity.tex:331 |
depends_on |
→ | eq:elast-displacement | declared | parts/03-classical-mechanics/13-continuum-elasticity.tex:331 |
depends_on |
← | The Green strain measures length exactly | declared | parts/03-classical-mechanics/13-continuum-elasticity.tex:342 |