
Accession Number : AD0697005
Title : EXACT SOLUTIONS OF SOME DYNAMIC PROBLEMS OF INDENTATION AND TRANSIENT LOADINGS OF AN ELASTIC HALF SPACE.
Descriptive Note : Civil engineering studies,
Corporate Author : ILLINOIS UNIV URBANA DEPT OF CIVIL ENGINEERING
Personal Author(s) : Thompson,J. Carl ; Robinson,Arthur R.
Report Date : SEP 1969
Pagination or Media Count : 256
Abstract : In this report the method of selfsimilar potentials is used to solve certain problems which involve the frictionless indentation of a linearly elastic half space by a rigid die. Solutions which are exact within the limits of the classical theory of elasticity are obtained for the early stages of contact for any problem in which the surface of the die is smooth. For problems in which the die is wedge or coneshaped and indents the half space at a constant rate, the solution for the entire process is given. The stress and velocity fields for the wedge and cone problems are considered in detail. This report includes an exposition of the method of selfsimilar potentials and of the procedure based on this method for solving two and threedimensional problems involving transient loads acting at interior or surface points of a homogeneous linearly elastic half space. The asymptotic character of the disturbance near the wave fronts and near the surface wave is determined in detail for both the two and threedimensional problems in which the source of the disturbance is an impulse applied normal to the surface of the half space. (Author)
Descriptors : (*SOLIDS, *ELASTIC PROPERTIES), (*DIES, PENETRATION), (*MECHANICAL WAVES, *WAVE FUNCTIONS), POTENTIAL THEORY, STRESSES, DEFORMATION, LOADS(FORCES), IMPACT, PROPAGATION, STRAIN(MECHANICS), FORCE(MECHANICS), WEDGES, CONICAL BODIES, BOUNDARY VALUE PROBLEMS, PROBLEM SOLVING, THESES
Subject Categories : Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE