Background
Sladek, Vladimir was born on January 29, 1954 in Martin, Czechoslovakia. Son of Pavel and Anna (Zatkova) Sladek.
(This book provides a comprehensive treatment of singular ...)
This book provides a comprehensive treatment of singular integrals in Boundary Element Methods, including both theoretical and numerical treatment. The authors document the efficiency of various techniques with numerical experiments. Boundary Element Methods use singular solutions (fundamental solutions of the governing equations) in contrast to other discretization methods such as finite element or finite difference methods. The presence of the mathematical singularity in otherwise (physically) non-singular problems gives rise to the need for accurate computation of singular integrals. This requirement has attracted the attention of BEM researchers from the very beginning. Sometimes the appearance of singular integrals in BEM formulations has been thought to be a handicap in computation, which is compensated for by the dimensional reduction of the problems. In fact, singular integrals should be recognized as a source of effectiveness and stability in the numerical solution, if these integrals are properly treated. The overall accuracy of BEM solutions is largely dependent on the precision with which various integrals are evaluated. No doubt, the evaluation of singular integrals requires much more sensitive treatment than that of regular integrals. Therefore, a proper consideration and evaluation of singular integrals is one of the most frequently discussed topics in boundary element research. This book gives the state-of-the-art of theoretical and numerical treatment of singular integrals in BEM's. Both the boundary and domain integrals are considered in tow- and there-dimensional boundary value problems as well a the use of symbolic computation and the formulation using complex arithmetic in the case of plane problems are outlined. From the physical point of view, the formulations concern the potential problems, elasticity, plate and crack problems. The present techniques have a universal character and can be easily applied to solution of a variety of engineering problems. The book can be found to be useful not only for understanding the nature and treatment of singular integrals in BEM's, but also in motivation for further research in this field. Therefore, it is recommended for graduate students, and researchers as well as for the users of boundary element methods in various computational applications.
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(The boundary element method is an extremely versatile and...)
The boundary element method is an extremely versatile and powerful tool of computational mechanics which has already become a popular alternative to the well established finite element method. This book presents a comprehensive and up-to-date treatise on the boundary element method (BEM) in its applications to various fields of continuum mechanics such as: elastostatics, elastodynamics, thermoelasticity, micropolar elasticity, elastoplasticity, viscoelasticity, theory of plates and stress analysis by hybrid methods. The fundamental solution of governing differential equations, integral representations of the displacement and temperature fields, regularized integral representations of the stress field and heat flux, boundary integral equations and boundary integro-differential equations are derived. Besides the mathematical foundations of the boundary integral method, the book deals with practical applications of this method. Most of the applications concentrate mainly on the computational problems of fracture mechanics. The method has been found to be very efficient in stress-intensity factor computations.
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Sladek, Vladimir was born on January 29, 1954 in Martin, Czechoslovakia. Son of Pavel and Anna (Zatkova) Sladek.
Doctor of Natural Science, Comenius University, Bratislava, Slovakia, 1978. Doctor of Philosophy, Slovak Academy of Sciences, Bratislava, 1984. Doctor of Science, Slovak Academy of Sciences, Bratislava, 1990.
Researcher, Institute Construction and Architecture Slovak Academy Sciences, Bratislava, 1984-1987; senior researcher, Institute Construction and Architecture Slovak Academy Sciences, Bratislava, 1987-1995; department head, Institute Construction and Architecture Slovak Academy Sciences, Bratislava, since 1995. Lecturer Slovak Technology U., Bratislava, 1991-1994.
(The boundary element method is an extremely versatile and...)
(This book provides a comprehensive treatment of singular ...)
Married Olga Dursova, April 26, 1986. 1 child, Vladimir.