Art increase of the critical resolved shear stress of Invar alloys (Invar h
ardening) with a lowering temperature is explained. The effect is caused by
a growth of the exchange interaction between dangling d-electron states of
dislocation cores and paramagnetic obstacles (e.g., Ni atoms in FeNi alloy
s) that occurs below the Curie temperature. The spins of the two electrons
align along the magnetization due to the exchange interaction with the surr
ounding atoms of the ferromagnetic. The exchange interaction between the di
slocations and obstacles is enhanced in Invars due to a strong growth of th
e magnetic moments of atoms under the action of elastic strains near the di
slocation cores. Parameters characterizing the exchange interaction are det
ermined for the case of the Fe0.65Ni0.35 Invar. The influence of the intern
al magnetic held on the dislocation detachment from the obstacles is taken
into account. The obtained temperature dependence of the critical resolved
shear stress in the Fe0.65Ni0.35 Invar agrees well with the available exper
imental data. Experiments facilitating a further check of the theoretical m
odel are suggested.