Accession Number : AD0677324

Title :   MICROPOLAR ELASTIC SOLIDS WITH STRETCH.

Descriptive Note : Technical rept.,

Corporate Author : PRINCETON UNIV N J DEPT OF AEROSPACE AND MECHANICAL SCIENCES

Personal Author(s) : Eringen,A. Cemal

Report Date : JUN 1968

Pagination or Media Count : 29

Abstract : The equations of motion, constitutive equations, and boundary conditions are derived for a class of micropolar elastic solids which can stretch and contract. These solids respond to intrinsic rotational motions and spin inertia and therefore can support couple stresses and body couples. In addition, dipolar microelements of such solids can undergo axial intrinsic motions. The model introduced is conjectured to explain the motions of certain classes of granular and composite materials in which grains and fibers are elastic in the direction of their major axes. The consequence of the instability restrictions arising from the requirements of a nonnegative internal energy is studied in detail, and field equations are obtained for the mass density, microinertia, microrotation vector, and the microstretch. Two theorems of uniqueness and an energy theorem are proved. (Author)

Descriptors :   (*ELASTIC PROPERTIES, MICROSTRUCTURE), (*COMPOSITE MATERIALS, ELASTIC PROPERTIES), DEFORMATION, GRAIN SIZE, STRESSES, STRAIN(MECHANICS), TORQUE, SOLIDS, EQUATIONS OF MOTION, BOUNDARY VALUE PROBLEMS, TENSOR ANALYSIS

Subject Categories : Laminates and Composite Materials
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE