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SECOND ORDER EFFECTS IN DISSIPATIVE SOLIDS,
COLUMBIA UNIV NEW YORK DEPT OF CIVIL ENGINEERING AND ENGINEERING MECHANICS
Non-linearity of the strain-displacement equations geometric non-linearity or non-linearity of the constitutive tensor relations tensorial non-linearity or a combination of both produces phenomena that do not appear in the classical theories, such as density changes under imposed shear dilatency or Kelvin effect and extensions or normal stresses accompanying torsion Poynting effect or Weissenberg effect. Theories of such secondorder effects are discussed. The accumulation of secondorder strain strain hardening or the irreversibility of deformation, and interaction of second-order extension with axial loads are considered.