Unit of Young's Modulus of Elasticity

Unit of Young’s modulus of elasticity force is newton per square meter (N/m^2), kilogram (force) per square centimeter (kg/cm^2), or pascal.

The most commonly used unit of Young’s modulus is the pascal, which is a force of 1N exerted on a unit area.

1 Pascal = 1 N/m²

However, it is a fairly small unit for most engineering problems, so it is convenient to work with multiples of the pascal: the GPa, and the MPa.

1 MPa 10⁶ N/m²
1 GPa 10⁹ N/m²

Hooke’s law describes the behavior of a bar in the elastic region in the case of tensional stress of a uniform bar (stress-strain curve). In this region, the elongation of the bar is directly proportional to the tensile force and the length of the bar and inversely proportional to the cross-sectional area and the modulus of elasticity.

References:

Materials Science:

U.S. Department of Energy, Material Science. DOE Fundamentals Handbook, Volume 1 and 2. January 1993.
U.S. Department of Energy, Material Science. DOE Fundamentals Handbook, Volume 2 and 2. January 1993.
William D. Callister, David G. Rethwisch. Materials Science and Engineering: An Introduction 9th Edition, Wiley; 9 edition (December 4, 2013), ISBN-13: 978-1118324578.
Eberhart, Mark (2003). Why Things Break: Understanding the World by the Way It Comes Apart. Harmony. ISBN 978-1-4000-4760-4.
Gaskell, David R. (1995). Introduction to the Thermodynamics of Materials (4th ed.). Taylor and Francis Publishing. ISBN 978-1-56032-992-3.
González-Viñas, W. & Mancini, H.L. (2004). An Introduction to Materials Science. Princeton University Press. ISBN 978-0-691-07097-1.
Ashby, Michael; Hugh Shercliff; David Cebon (2007). Materials: engineering, science, processing, and design (1st ed.). Butterworth-Heinemann. ISBN 978-0-7506-8391-3.
J. R. Lamarsh, A. J. Baratta, Introduction to Nuclear Engineering, 3d ed., Prentice-Hall, 2001, ISBN: 0-201-82498-1.

See above:

Strength