Plenary Lecture

Application of boundary element method to mixed boundary-value problems of linear elastostatics

Professor Necla Kadioglu
Division of Mechanics, Civil Engineeering Department
Faculty of Civil Engineeering
Istanbul Technical University
TURKEY

Abstract: In this lecture, a summary will be introduced to solve the plane problems of linear elasticity by reciprocal theorem for linear elastic materials. This method gives an integral equation which will be solved numerically. This integral equation is the starting point of the boundary element method. Here, both first boundary value problems and mixed boundary value problems will be considered. Instead of classical application of reciprocal theorem, and artificial boundary will be defined to eliminate the singularities of the integral equation. Besides, an algorithm is added to calculate multi-valued arctan function which arises during the integration of the kernels of the integral equation mentioned above. The solution of a first boundary-value problem with a multiply connected region has also been explained using this method. The main goal is to calculate the unknowns of the problem on the boundary. For a first boundary-value problem these unknowns are the displacement components on the boundary. For a mixed boundaryvalue problem, unknowns are the displacements components one part of the boundary and surface traction components on a second part of the boundary. After finding boundary values for any problem the inner values of displacement and stress components can be calculated using reciprocal theorem without any singularity problem. But, to find the unknown stress component is also possible with some restrictions on the boundary.

Brief Biography of the Speaker:
Employment Record
1986 - Assoc. Prof., Istanbul Technical University, Dept. Civil Engineering
1985 - 1986 Assist. Prof., Istanbul Technical University, Dept. Civil Engineering
1967 - 1982 Teaching Assist., Istanbul Technical University, Dept. Civil Engineering

Education
M.Sc. : Istanbul Technical University
Ph.D. : Istanbul Technical University
Post-Doc. : Winconsin University

Research Interest
Boundary Element Method, Elastodynamics, Elasticity, Linear Viscoelasticity, Fluid Mechanics, Dynamic Reciprocal Theorem