In exercise 14, what is the highest speed the artillery shell can have and still bounce off the armor plate without penetrating it?

Imagine the idealized situation as shown in Figure A for an artillery shell striking an armor plate made of an (imaginary) metal called “armory.” Figure B is the stress–strain diagram for armory. Assume the material diagram shows armory strained to failure.

Exercise 14

Which of the following will happen as a result of the collision in the exercise 13? Support your answer with numbers.

a. The shell will bounce off without denting the armor plate.

b. The armor plate will be damaged but will protect the region beyond it from the collision.

c. The shell will destroy the armor plate and retain sufficient kinetic energy with which to harm the region beyond the plate.

10,000 0.10 m Stress, o (GPa) 5,000 0.010 m Dia. Shell -1.0 Strain, (%) 1.0 -5,000 Armor Plate -10,000 A