Sitecore Error: Index Rebuild Fails with __display_name_t_da
This error typically occurs with new Sitecore installs. This error is actually due to missing configuration in Solr, not the Sitecore website or project. The field __display_name_t_da just happens to be the first dynamic field in the Solr configuration.
For reference, in Solr's schema.xml configset make sure that the following fields exist for Sitecore 8.x:
<dynamicField name="*_t" type="text_general" indexed="true" stored="true" />
<dynamicField name="*_t_en" type="text_general" indexed="true" stored="true" />
<dynamicField name="*_i" type="int" indexed="true" stored="true" />
<dynamicField name="*_s" type="string" indexed="true" stored="true" />
<dynamicField name="*_sm" type="string" indexed="true" stored="true" multiValued="true" />
<dynamicField name="*_im" type="int" indexed="true" stored="true" multiValued="true" />
<dynamicField name="*_b" type="boolean" indexed="true" stored="true" />
<dynamicField name="*_dt" type="date" indexed="true" stored="true" />
<dynamicField name="*_p" type="location" indexed="true" stored="true" />
<dynamicField name="*_ti" type="tint" indexed="true" stored="true" />
<dynamicField name="*_tl" type="tlong" indexed="true" stored="true" />
<dynamicField name="*_tf" type="tfloat" indexed="true" stored="true" />
<dynamicField name="*_td" type="tdouble" indexed="true" stored="true" />
<dynamicField name="*_tdt" type="tdate" indexed="true" stored="true" />
<dynamicField name="*_tdtm" type="tdate" indexed="true" stored="true" multiValued="true" />
<dynamicField name="*_pi" type="tint" indexed="true" stored="true" />
<dynamicField name="*_c" type="currency" indexed="true" stored="true" />
<dynamicField name="*_ignored" type="ignored" indexed="true" stored="true" />
<dynamicField name="*_random" type="random" indexed="true" stored="true" />
<dynamicField name="*_t_bg" type="text_general" indexed="true" stored="true" />
<dynamicField name="*_t_ca" type="text_general" indexed="true" stored="true" />
<dynamicField name="*_t_cz" type="text_general" indexed="true" stored="true" />
<dynamicField name="*_t_da" type="text_general" indexed="true" stored="true" />
<dynamicField name="*_t_de" type="text_general" indexed="true" stored="true" />
<dynamicField name="*_t_el" type="text_general" indexed="true" stored="true" />
<dynamicField name="*_t_es" type="text_general" indexed="true" stored="true" />
<dynamicField name="*_t_eu" type="text_general" indexed="true" stored="true" />
<dynamicField name="*_t_fa" type="text_general" indexed="true" stored="true" />
<dynamicField name="*_t_fi" type="text_general" indexed="true" stored="true" />
<dynamicField name="*_t_fr" type="text_general" indexed="true" stored="true" />
<dynamicField name="*_t_ga" type="text_general" indexed="true" stored="true" />
<dynamicField name="*_t_gl" type="text_general" indexed="true" stored="true" />
<dynamicField name="*_t_hi" type="text_general" indexed="true" stored="true" />
<dynamicField name="*_t_hu" type="text_general" indexed="true" stored="true" />
<dynamicField name="*_t_hy" type="text_general" indexed="true" stored="true" />
<dynamicField name="*_t_id" type="text_general" indexed="true" stored="true" />
<dynamicField name="*_t_it" type="text_general" indexed="true" stored="true" />
<dynamicField name="*_t_ja" type="text_general" indexed="true" stored="true" />
<dynamicField name="*_t_lv" type="text_general" indexed="true" stored="true" />
<dynamicField name="*_t_nl" type="text_general" indexed="true" stored="true" />
<dynamicField name="*_t_no" type="text_general" indexed="true" stored="true" />
<dynamicField name="*_t_pt" type="text_general" indexed="true" stored="true" />
<dynamicField name="*_t_ro" type="text_general" indexed="true" stored="true" />
<dynamicField name="*_t_ru" type="text_general" indexed="true" stored="true" />
<dynamicField name="*_t_sv" type="text_general" indexed="true" stored="true" />
<dynamicField name="*_t_th" type="text_general" indexed="true" stored="true" />
<dynamicField name="*_t_tr" type="text_general" indexed="true" stored="true" />
Note that some of the dymanic fields are language specific. See the *_t_de and *_t_en lines above.