Boundary integrals in plane elasticity with mixed boundary conditions

ISBN-13: 9783659422492 / Angielski / Miękka / 2013 / 88 str.

Ghaleb Ahmed;Gjam Aisha;Abdusalam Hosni

Opis

The objective of this book is to present a low cost, efficient semi-analytical scheme to solve the static, plane problems of elasticity in stresses for homogeneous, isotropic media occupying a long cylinder with simply connected normal cross-section and subjected to mixed boundary conditions on the lateral surface. The method relies on the use of boundary integrals and provides approximate solutions. Besides test problems, the cases of the circular and elliptical boundaries are considered. The boundary singularity of the solution is put in evidence. It is hoped that the material contained in this book will benefit to researchers involved in research work in the fields of plane linear elasticity with mixed boundary conditions and partial differential equations relating to the biharmonic equation.

O autorze

A.F. Ghaleb obtained his Ph. D. degree in Mathematics and Physics from Moscow State University in 1976 in the field of Relativistic Continuum Mechanics of Electromagnetic Media. He is Professor Emeritus at the Department of Mathematics, Faculty of Science, Cairo University, since 2004. His present field of interest is Boundary Integral Methods.