Abstract: Based on the researches on constructions in frozenregions and Qinghai-Tibet Roadway and Railway, some related mechanicsproblems are proposed.They are: the temperature field in frozen soilunder climate and engineering conditions; frost heaving and thawsettlement of permafrost roadbed; the support force of frozen soilunder the roadbed; the frost heaving of many kinds of engineeringconstructions (especially culverts and stake bases); the influence ofregenerative damages on railway bed; active protective measures forfrozen soil damages. All problems may be classified into two kinds: oneconcerns heat stability, and the other dynamicsstability. And the both problems are coupled.