Answer to Question #287367 in Mechanical Engineering for Mohammad

Question

A steel ball with a mass of 0.5 kg and a radius of 10 mm is dropped from a height of 3 m and strikes a homogeneous sheet with a thickness of 1200 mm which is located on a rigid bed. Calculate the maximum penetration, maximum contact force and maximum contact radius in the following three cases. (Assume a modulus of elasticity of 200 GPa, a yield stress of 250 MPa, and a Poisson's ratio of 0.3 if required.)

A) Rigid ball and Linear Elastic plate

B) Rigid ball and rigid-Perfectly Plastic plate

C) Rigid ball and Linear Elastic-Perfectly Plastic

Answer 1

Linear elasticity is a mathematical model of how solid objects deform and become internally stressed due to prescribed loading conditions.

A perfectly plastic material is such that it does not strain harden and is not strain-rate sensitive. 

Linear Elastic-Perfectly Plastic: It reflects an elastic deformation of the spring until the stress reference level of the friction plane is reached.