THE STRESS PRODUCED IN A SEMI-INFINITE SOLID BY PRESSURE ON PART OF THE BOUNDARY

A MATHEMATICAL DEVELOPMENT IS PRESENTED TO FURTHER DEVELOP THE POTENTIAL METHOD OF CALCULATING RECTANGULAR AND CIRCULAR AREA PRESSURES UNDER UNIFORM PRESSURE. THE POTENTIAL METHOD OF BOUSSINESQ CONTAINS THE COMPONENTS OF DISPLACEMENT, AND THE COMPONENTS OF STRESS, AT ANY POINT IN THE SOLID WHICH ARE EXPRESSED IN TERMS OF THE SPACE DERIVATIVES OF A FUNCTION CALLED THE POTENTIAL INTEGRAL. CERTAIN DIFFICULTIES IN REGARD TO FINITENESS AND DETERMINANCY OF STRESS ARE PRESENTED, AND A METHOD OF EVADING THEM, BY SUPPOSING THAT THE APPLIED PRESSURE IS NOT STRICTLY UNIFORM, IS ILLUSTRATED BY A DISCUSSION OF THE STRESS PRODUCED BY SOME PARTICULAR DISTRIBUTIONS OF VARIABLE PRESSURE. IT IS SHOWN THAT, IF THE PRESSURE OF A RECTANGULAR AREA WERE STRICTLY UNIFORM, THE CALCULATED TENSILE STRESS WOULD BE INFINITE, AND ALTHOUGH THE INFINITY CAN BE REMOVED BY SUPPOSING THAT THE PRESSURE TENDS TO ZERO AT THE BOUNDARY OF THE PRESSED AREA, IT WOULD REMAIN RATHER HIGH IF THE PRESSURE WERE NEARLY UNIFORM.

  • Supplemental Notes:
    • Series A, VOL 228, PP 377-420, 7 FIG, 6 TAB
  • Corporate Authors:

    Royal Soc Philosophical Trans /UK

    ,    
  • Authors:
    • Love, A E
  • Publication Date: 1929-11

Subject/Index Terms

Filing Info

  • Accession Number: 00234470
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Mar 18 1994 12:00AM