Micropolar Theory of Elasticity

• Main Author: Dyszlewicz, Janusz (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004.
• Edition: 1st ed. 2004.
• Series: Lecture Notes in Applied and Computational Mechanics, 15
• Subjects: Mechanical engineering.; Mechanics.; Mechanics, Applied.; Applied mathematics.; Engineering mathematics.; Mechanical Engineering.; Theoretical and Applied Mechanics.; Solid Mechanics.; Classical Mechanics.; Applications of Mathematics.; Mathematical and Computational Engineering.

 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. 

 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.