  The non-thermal source abundances of elements play a crucial role in the
understanding of cosmic ray phenomena from a few GeV up to several tens of EeV.
In this work a first systematic approach is presented that describes the change
of the abundances from the thermal to the non-thermal state via non-linear
diffusive shock acceleration by a temporally evolving shock. Hereby, not only
time-dependent ionization states of elements contained in the ambient gas are
considered, but also elements condensed on solid, charged dust grains, which
not only can be injected into the acceleration process as well, but are from
our findings even the dominant injection channel for most heavy elements. This
generic parametrized model is then applied to the case of particle acceleration
by supernova remnants in various ISM phases as well as Wolf-Rayet (WR) wind
environments. We show that the overall low to medium energy cosmic ray
distribution by WR explosions yield a significantly harder, which makes this
contribution quite promising in order to explain the spectral hardening of the
flux of certain elements, such as helium, observed by AMS-02 and other
experiments at rigidities of about 1 TV, which would also be an important test
for the potential role of WR-progenitor supernovae as the sources of Galactic
cosmic rays around the second knee.
