THE ELASTODYNAMICS OF MOVING LOADS. PART II. THE STRESS AND VELOCITY FIELD OF AN ENERGY SOURCE MOVING IN AN ELASTIC SOLID WITH A FREE SURFACE AT CONSTANT VELOCITY
Abstract
THE DETERMINATION OF THE DYNAMIC FIELDS ASSOCIATED WITH THE SETTING-UP OF SO-CALLED STRAIN NUCLEII IN AN ISOTROPIC ELASTIC SOLID IS DISCUSSED. PARTICULAR EMPHASIS IS PLACED ON REPRESENTATION IN THE FORM OFINTEGRAL SUPERPOSITIONS OF SINGULAR PLANE WAVES. THE SINGULARITIES WHICH ARE OF MOST INTEREST ARE ASSOCIATED WITH THE APPLICATION OF A CONSTANT POINT FORCE WHICH IS MOVING AT CONSTANT VELOCITY, OR WITH THEPRESENCE OF A STEADILY MOVING POINT WHICH CAN BE REGARDED AS CREATINGVOLUME FLUX AT A CONSTANT FINITE RATE. THE CALCULATIONS GIVE THE DYNAMIC FIELD WITHIN AN INFINITE SOLID IN A GENERAL FORM WHICH IS VALID FOR ANY CONSTANT VELOCITY OF THE ENERGY SOURCE, AND SINCE THE EXPRESSIONS FOUND ARE GIVEN IN PLANE WAVE FORM, MORE COMPLICATED PROBLEMS OF ELASTODYNAMICS WHICH INVOLVE PLANE BOUNDARIES ARE PARTICULARLY EASY TO INVESTIGATE. THE PARTICULAR CASE OF AN INFINITE SOLID WITH A FREE PLANE SURFACE IS CONSIDERED. THE CASES OF A BURIED MOVING SOURCE AND A SURFACE MOVING SOURCE IS EXAMINED. THE FORMULAE FOR DILATATION AND FOR SHEAR POTENTIAL ARE ESTABLISHED
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1962
- Accession Number
- AD0278738
Entities
People
- Michael Papadopoulos
Organizations
- University of Wisconsin–Madison