General Weitzenbo¨ck theory of crystals with different dislocation distributions

General Weitzenbo¨ck theory of crystals with different dislocation distributions is proposed, the new results of <f>Vα(t)=Mα(t)</f> and <f>Vm(t)=M(t)</f> are deduced. In terms of Einstein equivalence principle, we overcome the nonperfect properties of the Volterra process, the reference, idealized and deformation states of the crystals in general case are unifiedly represented by general manifolds, we gain the new general expression of Burgers vector in practical available Euclidean space, the wrong expressions (up to now viewed as correct in all articles and books) of the strain tensor are corrected, the exact strain tensor formulas in exact condensed theory are given, the new relative volume expansion value and their new relation <f>δ=gijEij=Eaa</f> are given, the hard difficulty giving the really serious one-to-one correspondences between the two theories of dislocations in Euclidean space and Weitzenbo¨ck material manifolds is overcome. [Copyright &y& Elsevier]