Micropolar Theory of Elasticity

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.

The only existing state-of-the-art book in Micropolar Theory of Elasticity

Autorentext

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.

Klappentext

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.

Inhalt

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.