An asymmetric theory of nonlocal elasticity—Part 2. Continuum field

In this paper\ an asymmetric theory of nonlocal elasticity with nonlocal body couple is developed on the basis of the axiom system in nonlocal continuum _eld theory[ The Galileo invariance is used for determining the explicit form of the constitutive equations[ It is shown that both continuum _eld theory and qua! sicontinuum theory give the same constitutive equations and _eld equations for the general theory of nonlocal elasticity[ Finally\ the relations among nonlocal theory\ couple stress theory\ and higher gradient theory are investigated