  In cuprates superconductors (as polycrystal and single crystal samples)
unusual hysteretic temperature behavior of elastic properties is frequently
observed. In this work from the uniform point of view detailed analysis this
abnormal temperature behavior of elastic properties is given. It is shown that
the hysteretic temperature dependencies of elastic properties of
YBa$_2$Cu$_3$O$_{7-\delta}$ crystal are strongly anisotropic and are connected
to hysteretic behavior of the $C_{3333}$ modulus while the $C_{1111}$ and
$C_{2222}$ moduli have no such dependence. The analysis of the elastic constant
tensor on the basis of the microscopic model has allowed to draw a conclusion,
that the hysteretic behavior of the $C_{3333}$ modulus of
YBa$_2$Cu$_3$O$_{7-\delta}$ crystal is caused by temperature dependent
renormalization of constants of interaction of apex oxygen atoms with copper
atoms and are connected apparently to formation of charge ordering.
