A theoretical model for the elastic softening observed in La2-xSrxCuO4
is presented. It is shown that the electronic redistribution mechanis
ms between the strain-split itinerant p bands and also between the str
ain-shifted energy pockets can satisfactorily account for the elastic
softening of c66 and ((c11 - c12)/2. The result suggests that the Ferm
i level shifts from the M point to the GAMMA point as a consequence of
the tetragonal-to-orthorhombic structural transition. Implications of
the present result on the superconducting mechanism are discussed.