Table of Contents

Preface XI

1 Introduction to the Distribution Theory 1

2 Integral Transforms of Distributions 113

3 Variational Calculus and Differential Equations in Distributions 151

4 Representation in Distributions of Mechanical and Physical Quantities 201

5 Applications of the Distribution Theory in Mechanics 241

6 Applications of the Distribution Theory to the Mechanics of the Linear Elastic Bodies 253

7 Applications of the Distribution Theory of Linear Viscoelastic Bodies 273

8 Applications of the Distribution Theory in Electrical Engineering 285

9 Applications of the Distribution Theory in the Study of Elastic Bars 301

10 Applications of the Distribution Theory in the Study of Viscoelastic Bars 343

11 Applications of the Distribution Theory in Physics 365

References 377

Index 379

About the Author

Petre P. Teodorescu is professor at the University of Bucharest and member of the Romanian Academy of Sciences. He is president of the Section of Technical Mechanics and member of GAMM (Gesellschaft fur Angewandte Mathematik und Mechanik). He was awarded by a prize of the Romanian Academy and is member of the editorial board of several scientific publications. Wilhelm W. Kecs is professor at the University of Petrosani and member of GAMM (Gesellschaft fur angewandte Mathematik und Mechanik). He published a book on "Theory of distributions with applications" (in Romanian), Romanian Academy Publishing House, 2003. Antonela Toma is professor at university "Politehnica" Bucharest. She published a monograph on Mathematical Methods in Elasticity and Viscoelasticity (in Romanian), 2004.