GENERALIZED POINT MODELS IN STRUCTURAL MECHANICS

By Y. KUORO

CON TEN TS CHAPTER VIBRATIONS OF THIN ELASTIC PLATES AND CLASSICAL P OIN T MO DELS KIRC HHO MO DEL FOR EXURAL W A V ES F UNDAMEN TALS OF ELASTICIT Y FLEXURAL DEFORMATIONS OF THIN PLATES DIEREN TIAL OP ERATOR AND B OUNDARY CONDITIONS FLEXURAL W A V ES FLUID LOADED PLATES SCATTERING PROBLEMS AND GENERAL PROP ERTIES OF SOLUTIONS PROBLEM FORM ULATION GREENS FUNCTION OF UNP ERTURB ED PROBLEM IN TEGRAL REPRESEN TATION OPTICAL THEOREM UNIQUENESS OF THE SOLUTION FLEXURAL W A V E CONCEN TRATED NEAR A CIRCULAR HOLE CLASSICAL P OIN T MO DELS P OIN T MO DELS IN T W O DIMENSIONS SCATTERING B Y CRAC K AT OBLIQUE INCIDENCE P OIN T MO DELS IN THREE DIMENSIONS SCATTERING PROBLEMS FOR PLATES WITH INNITE CRAC K GENERAL PROP ERTIES OF B OUNDARY V ALUE PROBLEMS SCATTERING PROBLEMS IN ISOLATED PLATES SCATTERING B Y P OIN T WISE JOIN T IX X CONTENTS CHAPTER OP ERATOR METHO DS IN DIRACTION ABSTRACT OP ERATOR THEORY HILB ERT SPACE OP ERATORS ADJOIN T SYMMETRIC AND SELFADJOIN T OP ERATORS EXTENSION THEORY SPACE L AND DIEREN TIAL OP ERATORS HILB ERT SPACE L GENERALIZED DERIV ATIV ES SOB OLEV SPACES AND EM B EDDING THEOREMS PROBLEMS OF SCATTERING HARMONIC OP ERATOR BIHARMONIC OP ERATOR OP ERATOR OF UID LOADED PLATE ANOTHER OP ERATOR MO DEL OF UID LOADED PLATE EXTENSIONS THEORY FOR DIEREN TIAL OP ERATORS ZERORANGE P OTEN TIALS FOR HARMONIC OP ERATOR ZERORANGE P OTEN TIALS FOR BIHARMONIC OP ERATOR ZERORANGE P OTEN TIALS FOR UID LOADED PLATES ZERORANGE P OTEN TIALS FOR THE PLATE WITH INNITE CRAC K CHAPTER GENERALIZED P OIN T MO DELS GENERAL PRO CEDURE MO DEL OF NARRO W CRAC K IN TRO DUCTION THE CASE OF ABSOLUTELY RIGID PLATE THE CASE OF ISOLATED PLATE GENERALIZED P OIN T MO DEL OF NARRO W CRAC K SCATTERING B Y P OIN T MO DEL OF NARRO W CRAC K DIRACTION B Y A CRAC K OF NITE WIDTH IN UID LOADED ELAS TIC PLATE DISCUSSION AND N UMERICAL RESULTS MO DEL OF A SHORT CRAC K DIRACTION B Y A SHORT CRAC K IN ISOLATED PLATE GENERALIZED P OIN T MO DEL OF SHORT CRAC K SCATTERING B Y THE GENERALIZED P OIN T MO DEL OF SHORT CRAC K DIRACTION B Y A SHORT CRAC K IN UID LOADED PLATE DISCUSSION