Theory Of Micropolar Elasticity PDF Download

The article presents a self-contained account of the recent theory of micropolar elasticity. Micropolar elastic materials possess extra independent degrees of freedom for the local rotations different from the rotations of the classical elasticity. These materials respond to spin inertia and body and surface couples, and as a consequence they exhibit certain new static and dynamic effects, e.g., new types of waves and couple stresses. Extensive discussions are presented on deformation, strain, microstrain, rotations, microrotations, kinematics, and balance laws. The thermodynamics of micropolar solids is formulated and the consequences of entropy and inequality are discussed. Field equations, boundary and initial conditions are obtained. The indeterminate couple stress theory is shown to result as a special case of the theory. Several static and dynamic problems are solved on the subjects of reflection of various types of micropolar waves, surface waves, stress concentration around a circular hole, and force and moment singularities in infinite solids. (Author).