MICROPOLAR ELASTIC SOLIDS WITH STRETCH.
PRINCETON UNIV N J DEPT OF AEROSPACE AND MECHANICAL SCIENCES
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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
- Laminates and Composite Materials