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# Accession Number:

## AD0626055

# Title:

## CONTACT PROBLEMS IN THE LINEAR THEORY OF VISCOELASTICITY,

# Descriptive Note:

# Corporate Author:

## NORTH CAROLINA STATE UNIV RALEIGH APPLIED MATHEMATICS RESEARCH GROUP

# Report Date:

## 1965-09-10

# Pagination or Media Count:

##
47.0

# Abstract:

## Some well known elastic half space solutions are generalized to encompass arbitrary linear viscoelastic behavior. The viscoelastic material is assumed to be homogeneous and isotropic, and thermal effects are not included. The main part of the survey is devoted to the quasi-static theory whose distinguishing feature is the neglecting of the inertia terms in the equations of motion. Expressions are found for the displacement stress field acting at any point of a viscoelastic half space whose boundary is subjected to an arbitrary time dependent distribution of normal pressure. The solution to the general axisymmetric elastic contact problem given by Sneddon is extended to viscoelasticity theory. Generalizations of the axisymmetric elastic contact problem with friction and Hertzs theory of the contact of smooth elastic bodies are also given. Problems of rolling contact are considered, and some viscoelastic half space problems are solved on the assumption that inertia terms may not be neglected. Author

# Distribution Statement:

## APPROVED FOR PUBLIC RELEASE

#