Green-Lagrange strain tensor
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
strain tensor
|
| gptkbp:application |
biomechanics
solid mechanics |
| gptkbp:component |
E_ij = 1/2 (∂u_i/∂X_j + ∂u_j/∂X_i + ∂u_k/∂X_i ∂u_k/∂X_j)
|
| gptkbp:coordinates |
material (reference) configuration
|
| gptkbp:definedIn |
E = 1/2 (C - I)
|
| gptkbp:describes |
finite deformation
|
| gptkbp:dimensions |
3x3 matrix
|
| gptkbp:frameIndifference |
true
|
| https://www.w3.org/2000/01/rdf-schema#label |
Green-Lagrange strain tensor
|
| gptkbp:isSecondOrderTensor |
true
|
| gptkbp:location |
C is right Cauchy-Green deformation tensor
I is identity tensor |
| gptkbp:namedAfter |
gptkb:Joseph-Louis_Lagrange
gptkb:George_Green |
| gptkbp:reduces |
infinitesimal strain tensor for small deformations
|
| gptkbp:symbol |
E
|
| gptkbp:symmetry |
true
|
| gptkbp:type |
Lagrangian strain
|
| gptkbp:usedFor |
large strain analysis
|
| gptkbp:usedIn |
gptkb:continuum_mechanics
|
| gptkbp:bfsParent |
gptkb:Second_Piola-Kirchhoff_stress_tensor
|
| gptkbp:bfsLayer |
8
|