Formula Home Mechanics of Materials Stress Strain Hooke's Law Applications Pressure Vessels Rosette Strain Gages Failure Criteria Calculators Stress Transform Strain Transform Principal Stress Principal Strain Elastic Constants Resources Bibliography
STEM Career Outlook

Wages, employment opportunities, and growth projections for STEM jobs.

Selecting the Right 3D Printer

Discover how to choose the right 3D printer for your needs and the key performance attributes to consider.

3D Scanners

A white paper to assist in the evaluation of 3D scanning hardware solutions.

Learn the best principles to negotiate the salary you deserve!

more free publications
 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.

 E: Young's Modulus nu: Poisson's Ratio G: Shear Modulus K: Bulk Modulus lambda: Lamé's constant E: Young's Modulus nu: Poisson's Ratio G: Shear Modulus K: Bulk Modulus lambda: Lamé's constant Units for modulii (E, G, K, l) Pa kPa MPa GPa psi ksi

 Young's Modulus E: 70.00 GPa Poisson's Ratio n: 0.30 Shear Modulus G: 26.92 GPa Bulk Modulus K: 58.33 GPa Lamé's Constant l: 40.38 GPa

Table of Relations among Elastic Constants
The relationships amongst the 5 elastic constants are shown in the table below.

 InputConstants Output Relations E = n = G = K = l = E, n - - E, G - - E, K - - E, l - - n, G - - n, K - - n, l - - G, K - - G, l - - K, l - -

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

Glossary
STEM Career Outlook

Wages, employment opportunities, and growth projections for STEM jobs.

Selecting the Right 3D Printer

Discover how to choose the right 3D printer for your needs and the key performance attributes to consider.

3D Scanners

A white paper to assist in the evaluation of 3D scanning hardware solutions.