Janusz Dyszlewicz

Micropolar Theory of Elasticity

• Gebundenes Buch

Produktbeschreibung

The monograph Micropolar Theory of Elasticity is devoted to the asymmetric theory of elasticity and thermoelasticity, aiming at researchers and postgraduate students in solid mechanics and applied mathematics, as well as mechanical engineers. It offers various new results including the basic field equations, general methods of integration of basic equations, formulations of problems, as well as solutions to particular problems. The presented general solutions cover those of Galerkin, Green-Lamé and Papkovitch-Neuber type, whereas the formulations include the displacement-rotation problems as well as pure stress problems of asymmetric elastodynamics. Solutions to stationary 3D and 2D problems for a half-space, and singular solutions to 3D and 2D asymmetric elastodynamics and the thermoelasto-dynamics problems for an infinite space are given.

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This monograph contains the results of my research in the area of asymmet ric theory of elasticity, conducted from 1969 to 1986 under the direction of PROFESSOR WITOLD NOWACKI. I am indebted to PROFESSOR NOWACKI, thanks to whose invaluable and very kind research assistance I obtained the results which were the foundation of this monograph. Therefore, I would like to express my deepest gratitude to him and honour his memory. He will remain in my thoughts with due respect. During my research assistantship at the Institute of Mechanics at the Uni versity of Warsaw in 1970-1973 I had the opportunity to participate in sem inars and conferences, study critical reviews and carryon numerous discus sions and conversations. All this resulted in many valuable remarks included in this monograph. In this connection, I would like to thank Professor J6zef Ignaczak and Professor Marek Sokolowski from the Institute of Fundamental Problems of Technology at the Polish Academy of Sciences, as well as Pro fessor Zbigniew Olesiak and Professor Adam Piskorek from the Institute of Mechanics at the University of Warsaw.

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Produktdetails

• Lecture Notes in Applied and Computational Mechanics 15
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• 2004
• Seitenzahl: 376
• Erscheinungstermin: 11. Februar 2004
• Englisch
• Abmessung: 241mm x 160mm x 25mm
• Gewicht: 642g
• ISBN-13: 9783540418351
• ISBN-10: 3540418350
• Artikelnr.: 12509827

Autorenporträt

Janusz Dyszlewicz is Professor of Mathematics at the Wroclaw University of Technology. He received a diploma in Civil Engineering at the Wroclaw University of Technology and research experience at the Warsaw University and the Institute of Fundamental Technological Research of the Polish Academy of Sciences. He is the author of about 40 research papers. The main areas of his research are Micropolar Theory of Elasticity and Asymmetric Thermoelasticity.

Inhaltsangabe

1. Three-dimensional problems.- 1.1 Displacement-rotation equations of elastodynamics and coupled thermoelasticity.- 1.2 Displacement-rotation and stress equations of elastostatics and thermoelastostatics.- 2. Axially-symmetric problems.- 2.1 The first axially-symmetric problem. Elastodynamics.- 2.2 The first axially-symmetric problem. Elastostatics and thermoelastostatics.- 2.3 The second axially-symmetric problem. Elastodynamics.- 2.4 The second axially-symmetric problem. Elastostatics.- 3. Two-dimensional problems.- 3.1 The first problem of plane strain state. Elastodynamics 217 3.1.1 Equations in displacements and rotations with a field of body loadings.- 3.2 The first problem of plane strain state. Elastostatics.- 3.3 The second problem of plane strain state. Elastodynamics.- 3.4 The second problem of plane strain state. Elastostatics.- 4. Hemitropic medium.- 4.1 Vector equations. Elastodynamics.- 4.2 Three-dimensional problems. Elastostatics.- 4.3 One-dimensional problems of elastostatics and thermoelastostatics.- 4.4 Remarks and conclusions concerning vector equations.- References.- Author Index.