Micropolar Theory of Elasticity [Paperback]

1. Three-dimensional problems.- 1.1 Displacement-rotation equations of elastodynamics and coupled thermoelasticity.- 1.1.1 Vector equations. Superposition method.- 1.1.2 Fields of body loadings. Fundamental solutions and limiting cases.- 1.1.3 Distortion fields. Fundamental solutions.- 1.1.4 Coupled micropolar thermoelasticity. Fundamental solutions.- 1.1.5 Stress-temperature equations of motion of Ignaczak type. Fundamental solutions.- 1.1.6 Radiation conditions of Sommerfeld type.- 1.1.7 Generalized Galerkin vector. Representation of Iacovache type. Micropolar theory and couple-stress theory.- 1.1.8 Generalized representation of Green-Lam?. The method of Nowacki#x2019;s potentials.- 1.2 Displacement-rotation and stress equations of elastostatics and thermoelastostatics.- 1.2.1 Vector equations and superposition method.- 1.2.2 Fields of body loadings. Fundamental solutions.- 1.2.3 Distortion fields. Fundamental solutions and limiting cases.- 1.2.4 Problem of elastic half-space.- 1.2.5 Galerkin vector. Micropolar theory and couple-stress theory.- 1.2.6 Method of potentials. Micropolar theory and limiting theories. Superposition method.- 1.2.7 Method of potentials. Fundamental solutions. Halfspace problem.- 1.2.8 Micropolar half-space. Problem of singularities of physical fields. Three-dimensional problem.- 1.2.9 Stress equations. Fundamental solutions.- 1.2.10 Generalized representation of Papkovich-Neuber. Micropolar theory and couple-stress theory.- 1.2.11 Applications of the generalized Papkovich-Neuber representation.- 1.2.12 Generalized representation of Papkovich-Neuber. The case of nonhomogenous equations of micropolar elastostatics (E-N model).- 2. Axially-symmetric problems.- 2.1 The first axially-symmetric problem. Elastodynamics.- 2.1.1 Equations in displacements and rotations. Body loadings.- 2.1.2 Equations in displacements and rotations. Superposition method.- 2.1.3 Equations in displacements and rotations with a distortion field.- 2.1.4 Stress functiolD