Among the available ND methods, the ultrasonic pulse velocity tester is the most commonly used in practice. Test is described in ASTM C597 and BS 1881-203.

The principle of test is that the velocity of sound in a solid material, V, is a function of the square root of the ratio of its modulus of elasticity, E, to its density.

Relationships among the pulse velocity of concrete, the strength of concrete and the modulus of elasticity of concrete are given in references

• A. Nilsen, P. Aitcin, Static modulus of elasticity of high strength concrete from pulse velocity tests, Cem Concr Aggr 14 (1) (1992) 64-66.
• R. Philleo, Comparison of results of three methods for determining Young's modulus of elasticity of concrete, J Am Concr Inst 51 (1955) 461-469.
• M. Sharma, B. Gupta, Sonic modulus as related to strength and static modulus of high strength concrete, Indian Concr J 34 (4) (1960) 139-141.
• ACI 318-95, Building Code Requirements for structural concrete, (ACI 318-95) and commentary-ACI 318R-95, ACI, U.S., 1995.

This relationship between dynamic modulus of elasticity and compressive strength is provided by ASTM C597.

thank you so much DR. Chitaranjan Pany and Dr. Mohammed Salah Nasr for useful answers

Interesting.