Calculator Introduction |
For isotropic materials, only two independent elastic constants are needed for describing the stress-strain relationship, i.e., Hooke's Law.
This calculator computes the inter-relations among the 5 commonly used elastic constants: |
Symbol | Name | Other Names |
E | Youngs modulus | Elastic modulus, tension modulus |
n | Poisson ratio | |
G or m | Shear modulus | Rigidity modulus, 2nd Lamé constant |
K | Bulk modulus | Compression modulus |
l | 1st Lamé constant |
Select 2 constants for input, and calculate the rest. | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Table of Relations among Elastic Constants | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
The relationships amongst the 5 elastic constants are shown in the table below.
| |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
For the case of {E, l} input, the factor R is defined as,
The 2nd Law of Thermodynamics requires that the following limits hold on the elastic constants,
E, G, and K > 0
|