A SEMI-ANALYTICAL MODEL OF TIME DEPENDENT PLASTIC STRAINS INDUCED DURING SHOT PEENING

Author:

DAVIS J.1,RAMULU M.2

Affiliation:

1. Department of Mechanical Engineering, University of Washington, Stevens Way, Box 352600, Seattle, WA 98195, US

2. Manufacturing Science and Technology Laboratory, University of Washington, Stevens Way, Seattle, WA 98195, US

Abstract

When a semi-infinite surface is shot peened the in-plane inelastic strains are zero because of compatibility. As a result, the in-plane residual stress and plastic strain are linearly related. These boundary conditions motivate a second order differential equation similar in mathematical form to a modified Kelvin solid model with a strain acceleration term. Solving the resulting equation gives a closed form expression for the plastic strain as a function of time. The plastic strain rate is solved by taking the derivative with respect to time. Comparisons with published finite element data show good agreement and are within 10% for most of the loading and unloading period.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mechanical Engineering,Mechanics of Materials,General Materials Science

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